@preamble{"This catalog of 361 entries was generated by calibre on Wednesday, 21. October 2020 16:16"}
@misc{ ChristophSchubert400,
title = "Abstract and Concrete Categories - The Joy of Cats",
title_sort = "Abstract and Concrete Categories - The Joy of Cats",
author_sort = "Schubert, Christoph",
author = "Christoph Schubert",
cover = "/home/zack/Dropbox/Library/Christoph Schubert/Abstract and Concrete Categories - The Joy of Cats (400)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Christoph Schubert/Abstract and Concrete Categories - The Joy of Cats (400)/Abstract and Concrete Categories - The Joy - Christoph Schubert.pdf:PDF",
calibreid = "400",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "3601267 octets",
timestamp = "2019-02-06",
uuid = "31f768ab-f0b3-46aa-a580-53e8cfbc87e8",
languages = "eng" }
@book{ JamesJ.Callahan401,
title = "Advanced Calculus: A Geometric View",
title_sort = "Advanced Calculus: A Geometric View",
author_sort = "Callahan, James J.",
author = "James J. Callahan",
note = "A half-century ago, advanced calculus was a well-de?ned subject at the core of the undergraduate mathematics curriulum. The classic texts of Taylor [19], Buck [1], Widder [21], and Kaplan [9], for example, show some of the ways it was approached. Over time, certain aspects of the course came to be seen as more signi?cant—those seen as giving a rigorous foundation to calculus—and they - came the basis for a new course, an introduction to real analysis, that eventually supplanted advanced calculus in the core. Advanced calculus did not, in the process, become less important, but its role in the curriculum changed. In fact, a bifurcation occurred. In one direction we got c- culus on n-manifolds, a course beyond the practical reach of many undergraduates; in the other, we got calculus in two and three dimensions but still with the theorems of Stokes and Gauss as the goal. The latter course is intended for everyone who has had a year-long introduction to calculus; it often has a name like Calculus III. In my experience, though, it does not manage to accomplish what the old advancedcalculus course did. Multivariable calculusnaturallysplits intothreeparts:(1)severalfunctionsofonevariable,(2)one function of several variables, and (3) several functions of several variables. The ?rst two are well-developed in Calculus III, but the third is really too large and varied to be treated satisfactorily in the time remaining at the end of a semester. To put it another way: Green’s theorem ?ts comfortably; Stokes’ and Gauss’ do not.
",
cover = "/home/zack/Dropbox/Library/James J. Callahan/Advanced Calculus\_ A Geometric View (401)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/James J. Callahan/Advanced Calculus_ A Geometric View (401)/Advanced Calculus_ A Geometric View - James J. Callahan.pdf:PDF",
calibreid = "401",
isbn = "978-14-4197-331-3",
library_name = "Library",
year = "2010",
month = "Sep",
publisher = "Springer New York",
rating = "8",
volume = "1",
size = "8056692 octets",
tags = "Mathematics, Mathematical Analysis, Applied, Calculus, Differential Equations, General",
timestamp = "2019-02-06",
uuid = "d33fbdba-553e-4920-a54b-9b23f52c57bc",
languages = "eng",
identifiers = "google:KC6bDAEACAAJ,isbn:9781441973313" }
@misc{ MallatStephane402,
title = "A Wavelet Tour of Signal Processing",
title_sort = "Wavelet Tour of Signal Processing, A",
author_sort = "Stephane, Mallat",
author = "Mallat Stephane",
cover = "/home/zack/Dropbox/Library/Mallat Stephane/A Wavelet Tour of Signal Processing (402)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Mallat Stephane/A Wavelet Tour of Signal Processing (402)/A Wavelet Tour of Signal Processing - Mallat Stephane.pdf:PDF",
calibreid = "402",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "27657100 octets",
timestamp = "2019-02-06",
uuid = "3e2d4323-cb8f-4e58-98d1-3b1e07295ad4",
languages = "eng" }
@book{ TristanNeedham403,
title = "Visual Complex Analysis",
title_sort = "Visual Complex Analysis",
author_sort = "Needham, Tristan",
author = "Tristan Needham",
note = "This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.
",
cover = "/home/zack/Dropbox/Library/Tristan Needham/Visual Complex Analysis (403)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Tristan Needham/Visual Complex Analysis (403)/Visual Complex Analysis - Tristan Needham.pdf:PDF",
calibreid = "403",
isbn = "978-01-9853-446-4",
library_name = "Library",
year = "1998",
month = "Feb",
publisher = "Clarendon Press",
volume = "1",
size = "9729292 octets",
tags = "Complex Analysis",
timestamp = "2019-02-06",
uuid = "8c2de235-2560-4ab0-9f66-bf35bf59db32",
languages = "eng",
identifiers = "isbn:9780198534464,google:ogz5FjmiqlQC" }
@book{ MiklosBona404,
title = "A Walk Through Combinatorics: An Introduction to Enumeration and Graph Theory",
title_sort = "Walk Through Combinatorics: An Introduction to Enumeration and Graph Theory, A",
author_sort = "Bona, Miklos",
author = "Miklos Bona",
note = "This is a textbook for an introductory combinatorics course that can take up one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course. Just as with the first edition, the new edition walks the reader through the classic parts of combinatorial enumeration and graph theory, while also discussing some recent progress in the area: on the one hand, providing material that will help students learn the basic techniques, and on the other hand, showing that some questions at the forefront of research are comprehensible and accessible for the talented and hard-working undergraduate. The basic topics discussed are: the twelvefold way, cycles in permutations, the formula of inclusion and exclusion, the notion of graphs and trees, matchings and Eulerian and Hamiltonian cycles. The selected advanced topics are: Ramsey theory, pattern avoidance, the probabilistic method, partially ordered sets, and algorithms and complexity. As the goal of the book is to encourage students to learn more combinatorics, every effort has been made to provide them with a not only useful, but also enjoyable and engaging reading.
",
cover = "/home/zack/Dropbox/Library/Miklos Bona/A Walk Through Combinatorics\_ An Introduction to Enumeration and Graph Theory (404)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Miklos Bona/A Walk Through Combinatorics_ An Introduction to Enumeration and Graph Theory (404)/A Walk Through Combinatorics_ An Introduct - Miklos Bona.pdf:PDF",
calibreid = "404",
isbn = "978-98-1256-885-4",
library_name = "Library",
year = "2006",
month = "Feb",
publisher = "World Scientific",
rating = "8",
volume = "1",
size = "20538460 octets",
tags = "Algebra, combinatorics, Intermediate, Discrete Mathematics, Mathematics",
timestamp = "2019-02-06",
uuid = "2a52b02c-c1ca-43b4-ad66-9c6f6507e04b",
languages = "eng",
identifiers = "google:vDVc5Q9xf9EC,isbn:9789812568854" }
@book{ I.N.Herstein405,
title = "Abstract Algebra",
title_sort = "Abstract Algebra",
author_sort = "Herstein, I. N.",
author = "I. N. Herstein",
note = "Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.
",
cover = "/home/zack/Dropbox/Library/I. N. Herstein/Abstract Algebra (405)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/I. N. Herstein/Abstract Algebra (405)/Abstract Algebra - I. N. Herstein.pdf:PDF",
calibreid = "405",
isbn = "978-04-7136-879-3",
library_name = "Library",
year = "1996",
month = "Jan",
publisher = "Wiley",
rating = "8",
volume = "1",
size = "44901729 octets",
tags = "Mathematics, Algebra, Abstract, General",
timestamp = "2019-02-06",
uuid = "a548335e-049e-466c-a9dc-82dc452c8eac",
languages = "eng",
identifiers = "isbn:9780471368793,google:6UzGQgAACAAJ" }
@misc{ KlausWirthmuller406,
title = "Vector Bundles and K-Theory Lecture Notes",
title_sort = "Vector Bundles and K-Theory Lecture Notes",
author_sort = "Wirthmuller, Klaus",
author = "Klaus Wirthmuller",
cover = "/home/zack/Dropbox/Library/Klaus Wirthmuller/Vector Bundles and K-Theory Lecture Notes (406)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Klaus Wirthmuller/Vector Bundles and K-Theory Lecture Notes (406)/Vector Bundles and K-Theory Lecture Notes - Klaus Wirthmuller.pdf:PDF",
calibreid = "406",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "550595 octets",
tags = "research, notes",
timestamp = "2019-02-06",
uuid = "1a804312-919c-43b1-ae40-6bac9f98b6fe",
languages = "eng" }
@misc{ AllenHatcher407,
title = "Vector Bundles and K Theory",
title_sort = "Vector Bundles and K Theory",
author_sort = "Hatcher, Allen",
author = "Allen Hatcher",
cover = "/home/zack/Dropbox/Library/Allen Hatcher/Vector Bundles and K Theory (407)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Allen Hatcher/Vector Bundles and K Theory (407)/Vector Bundles and K Theory - Allen Hatcher.pdf:PDF",
calibreid = "407",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "1440653 octets",
tags = "research, textbook, Topology",
timestamp = "2019-02-06",
uuid = "0ebaf962-42b3-4c41-83e1-16c639e3b4d6",
languages = "eng" }
@misc{ RaviVakil408,
title = "Foundations of Algebraic Geometry",
title_sort = "Foundations of Algebraic Geometry",
author_sort = "Vakil, Ravi",
author = "Ravi Vakil",
note = "()
",
cover = "/home/zack/Dropbox/Library/Ravi Vakil/Foundations of Algebraic Geometry (408)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Ravi Vakil/Foundations of Algebraic Geometry (408)/Foundations of Algebraic Geometry - Ravi Vakil.pdf:PDF",
calibreid = "408",
library_name = "Library",
year = "2013",
month = "Jun",
volume = "1",
size = "5541435 octets",
tags = "prototextbook, algebraic geometry",
timestamp = "2019-02-06",
uuid = "50297198-e3a8-4063-b3bb-ec636c2d040f",
languages = "eng" }
@book{ StephenAbbott409,
title = "Understanding Analysis (Undergraduate Texts in Mathematics)",
title_sort = "Understanding Analysis (Undergraduate Texts in Mathematics)",
author_sort = "Abbott, Stephen",
author = "Stephen Abbott",
note = "This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one.
Fifteen years of classroom experience with the first edition of *Understanding Analysis* have solidified and refined the central narrative of the second edition. Roughly 150 new exercises join a selection of the best exercises from the first edition, and three more project-style sections have been added. Investigations of Euler’s computation of ζ(2), the Weierstrass Approximation Theorem, and the gamma function are now among the book’s cohort of seminal results serving as motivation and payoff for the beginning student to master the methods of analysis.
**
",
cover = "/home/zack/Dropbox/Library/Stephen Abbott/Understanding Analysis (Undergraduate Texts in Mathematics) (409)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Stephen Abbott/Understanding Analysis (Undergraduate Texts in Mathematics) (409)/Understanding Analysis (Undergraduate Text - Stephen Abbott.pdf:PDF",
calibreid = "409",
isbn = "978-14-9392-711-1",
library_name = "Library",
year = "2016",
month = "Aug",
publisher = "Springer",
rating = "8",
volume = "1",
size = "2166617 octets",
timestamp = "2019-02-06",
uuid = "3a433b29-a139-4032-940f-e6283f5c9fa1",
languages = "eng",
identifiers = "isbn:9781493927111,amazon:1493927116" }
@misc{ Hubbard;BarbaraBurkeHubJohn410,
title = "Vector Calculus, Linear Algebra",
title_sort = "Vector Calculus, Linear Algebra",
author_sort = "John, Hubbard; Barbara Burke Hub",
author = "Hubbard; Barbara Burke Hub John",
cover = "/home/zack/Dropbox/Library/Hubbard; Barbara Burke Hub John/Vector Calculus, Linear Algebra (410)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Hubbard; Barbara Burke Hub John/Vector Calculus, Linear Algebra (410)/Vector Calculus, Linear Algebra - Hubbard; Barbara Burke Hub John.pdf:PDF",
calibreid = "410",
library_name = "Library",
year = "2010",
month = "Feb",
volume = "1",
size = "42535913 octets",
timestamp = "2019-02-06",
uuid = "6b80b0a5-81a1-48ba-a2bf-afdeb232cfa5",
languages = "eng" }
@book{ C.T.Dodson411,
title = "A User's Guide to Algebraic Topology",
title_sort = "User's Guide to Algebraic Topology, A",
author_sort = "Dodson, C. T. \& Parker, Phillip E. \& Parker, P. E.",
author = "C. T. Dodson and Phillip E. Parker and P. E. Parker",
note = "We have tried to design this book for both instructional and reference use, during and after a first course in algebraic topology aimed at users rather than developers; indeed, the book arose from such courses taught by the authors. We start gently, with numerous pictures to illustrate the fundamental ideas and constructions in homotopy theory that are needed in later chapters. A certain amount of redundancy is built in for the reader's convenience: we hope to minimize :fiipping back and forth, and we have provided some appendices for reference. The first three are concerned with background material in algebra, general topology, manifolds, geometry and bundles. Another gives tables of homo topy groups that should prove useful in computations, and the last outlines the use of a computer algebra package for exterior calculus. Our approach has been that whenever a construction from a proof is needed, we have explicitly noted and referenced this. In general, wehavenot given a proof unless it yields something useful for computations. As always, the only way to un derstand mathematics is to do it and use it. To encourage this, Ex denotes either an example or an exercise. The choice is usually up to you the reader, depending on the amount of work you wish to do; however, some are explicitly stated as ( unanswered) questions. In such cases, our implicit claim is that you will greatly benefit from at least thinking about how to answer them.
",
cover = "/home/zack/Dropbox/Library/C. T. Dodson/A User's Guide to Algebraic Topology (411)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/C. T. Dodson/A User's Guide to Algebraic Topology (411)/A User's Guide to Algebraic Topology - C. T. Dodson.pdf:PDF",
calibreid = "411",
isbn = "978-07-9234-293-9",
library_name = "Library",
year = "1997",
month = "Jan",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "190095 octets",
tags = "Mathematical \& Computational, Geometry, Science, Differential, textbook, General, Mathematics, physics, algebraic topology, Topology",
timestamp = "2019-02-06",
uuid = "ce6b5f1a-071d-4f12-b28d-4707ae1d7e7d",
languages = "eng",
identifiers = "isbn:9780792342939,google:nS\_5yegroSoC" }
@misc{ Cohen412,
title = "The Topology of Fiber Bundles Notes",
title_sort = "Topology of Fiber Bundles Notes, The",
author_sort = "Cohen",
author = "Cohen",
cover = "/home/zack/Dropbox/Library/Cohen/The Topology of Fiber Bundles Notes (412)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Cohen/The Topology of Fiber Bundles Notes (412)/The Topology of Fiber Bundles Notes - Cohen.pdf:PDF",
calibreid = "412",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "1202683 octets",
tags = "research",
timestamp = "2019-02-06",
uuid = "367074c4-a960-4153-a8d3-9e9f891d9f8f",
languages = "eng" }
@book{ MilesReid413,
title = "Undergraduate Commutative Algebra",
title_sort = "Undergraduate Commutative Algebra",
author_sort = "Reid, Miles",
author = "Miles Reid",
note = "Algebraic geometry is, essentially, the study of the solution of equations and occupies a central position in pure mathematics. This short and readable introduction to algebraic geometry will be ideal for all undergraduate mathematicians coming to the subject for the first time. With the minimum of prerequisites, Dr Reid introduces the reader to the basic concepts of algebraic geometry including: plane conics, cubics and the group law, affine and projective varieties, and non-singularity and dimension. He is at pains to stress the connections the subject has with commutative algebra as well as its relation to topology, differential geometry, and number theory. The book arises from an undergraduate course given at the University of Warwick and contains numerous examples and exercises illustrating the theory.
",
cover = "/home/zack/Dropbox/Library/Miles Reid/Undergraduate Commutative Algebra (413)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Miles Reid/Undergraduate Commutative Algebra (413)/Undergraduate Commutative Algebra - Miles Reid.pdf:PDF",
calibreid = "413",
isbn = "978-05-2135-559-9",
library_name = "Library",
year = "1988",
month = "Feb",
publisher = "Cambridge University Press",
volume = "1",
size = "6957903 octets",
tags = "Geometry, Mathematics, algebraic geometry, textbook, General",
timestamp = "2019-02-06",
uuid = "9587bdb3-7edb-4618-9144-44c087092eac",
languages = "eng",
identifiers = "google:8HtgQgAACAAJ,isbn:9780521355599" }
@book{ SidneyA.Morris414,
title = "Topology Without Tears",
title_sort = "Topology Without Tears",
author_sort = "Morris, Sidney A.",
author = "Sidney A. Morris",
cover = "/home/zack/Dropbox/Library/Sidney A. Morris/Topology Without Tears (414)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Sidney A. Morris/Topology Without Tears (414)/Topology Without Tears - Sidney A. Morris.pdf:PDF",
calibreid = "414",
library_name = "Library",
year = "1989",
month = "Feb",
publisher = "University of New England",
volume = "1",
size = "5822305 octets",
tags = "point set topology, textbook, Topology",
timestamp = "2019-02-06",
uuid = "b2fed43b-db4b-40e2-b84f-6761961f4053",
languages = "eng",
identifiers = "google:YLvKtgAACAAJ" }
@book{ GregoryL.Naber415,
title = "Topology, Geometry and Gauge Fields: Foundations",
title_sort = "Topology, Geometry and Gauge Fields: Foundations",
author_sort = "Naber, Gregory L.",
author = "Gregory L. Naber",
note = "Like any books on a subject as vast as this, this book has to have a point-of-view to guide the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered, and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. The reader is asked to join the author on some vague notion of what an electromagnetic field might be, to be willing to accept a few of the more elementary pronouncements of quantum mechanics, and to have a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. In return, the book offers an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1.
**
\#\#\# Review
First Edition Review:
{"}Naber’s book, together with its predecessor[N4] subtitled Foundations, occupies a less populated niche in the market. This is the sector of teachable texts on differential geometry and its use in physics. Teachability does not refer to a definition-theorem-proof format. Nor does it imply anything about the depth of the treatment. Rather, it has to do with the organization of the topics, the selection of examples, the amount of instructive details provided, the ability to anticipate questions from the reader, and knowing when to stop.{"}
\\--SIAM REVIEW
\#\#\# From the Back Cover
This is a book on topology and geometry, and like any book on subjects as vast as these, it has a point of view that guided the selection of topics. The author’s point of view is that the rekindled interest that mathematics and physics have shown in each other of late should be fostered, and that this is best accomplished by allowing them to cohabit. The goal is to weave together rudimentary notions from the classical gauge theories of physics and the topological and geometrical concepts that became the mathematical models of these notions. The reader is assumed to have a minimal understanding of what an electromagnetic field is, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, and a solid background in real analysis and linear algebra with some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2)-connections on S4 with instanton number -1. This second edition of the book includes a new chapter on singular homology theory and a new appendix outlining Donaldson’s beautiful application of gauge theory to the topology of compact, simply connected , smooth 4-manifolds with definite intersection form. Reviews of the first edition: “It is unusual to find a book so carefully tailored to the needs of this interdisciplinary area of mathematical physics…Naber combines a deep knowledge of his subject with an excellent informal writing style.” (NZMS Newsletter) {"}...this book should be very interesting for mathematicians and physicists (as well as other scientists) who are concerned with gauge theories.{"} (ZENTRALBLATT FUER MATHEMATIK) “The book is well written and the examples do a great service to the reader. It will be a helpful companion to anyone teaching or studying gauge theory …” (Mathematical Reviews)
",
cover = "/home/zack/Dropbox/Library/Gregory L. Naber/Topology, Geometry and Gauge Fields\_ Foundations (415)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Gregory L. Naber/Topology, Geometry and Gauge Fields_ Foundations (415)/Topology, Geometry and Gauge Fields_ Found - Gregory L. Naber.pdf:PDF",
calibreid = "415",
isbn = "978-14-4197-253-8",
library_name = "Library",
year = "2010",
month = "Sep",
publisher = "Springer",
rating = "8",
volume = "1",
size = "6252667 octets",
tags = "Geometry, Science, textbook, General, physics, Nuclear, Quantum Theory, Mathematics, Topology",
timestamp = "2019-02-06",
uuid = "f18b0984-b3c3-464b-bb95-97b1948b7fde",
languages = "eng",
identifiers = "amazon:B008BBJ4PC,isbn:9781441972538,google:rIP1jwEACAAJ" }
@book{ JamesR.Munkres416,
title = "Topology",
title_sort = "Topology",
author_sort = "Munkres, James R.",
author = "James R. Munkres",
note = "This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.
",
cover = "/home/zack/Dropbox/Library/James R. Munkres/Topology (416)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/James R. Munkres/Topology (416)/Topology - James R. Munkres.pdf:PDF",
calibreid = "416",
isbn = "978-01-3181-629-9",
library_name = "Library",
year = "2000",
month = "Feb",
publisher = "Prentice Hall, Incorporated",
rating = "8",
volume = "1",
size = "34810176 octets",
tags = "Mathematics, Algebra, General",
timestamp = "2019-02-06",
uuid = "e7ed8f7f-9d11-435a-ba88-b2b299339612",
languages = "eng",
identifiers = "isbn:9780131816299,google:XjoZAQAAIAAJ" }
@book{ JohnWillardMilnor417,
title = "Topology From the Differentiable Viewpoint",
title_sort = "Topology From the Differentiable Viewpoint",
author_sort = "Milnor, John Willard",
author = "John Willard Milnor",
note = "This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, he goes on to examine tangent spaces, oriented manifolds, and vector fields. Key concepts such as homotopy, the index number of a map, and the Pontryagin construction are discussed. The author presents proofs of Sard's theorem and the Hopf theorem.
",
cover = "/home/zack/Dropbox/Library/John Willard Milnor/Topology From the Differentiable Viewpoint (417)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/John Willard Milnor/Topology From the Differentiable Viewpoint (417)/Topology From the Differentiable Viewpoint - John Willard Milnor.pdf:PDF",
calibreid = "417",
isbn = "978-06-9104-833-8",
library_name = "Library",
year = "1997",
month = "Feb",
publisher = "Princeton University Press",
volume = "1",
size = "1635275 octets",
tags = "Geometry, Mathematics, Topology, General",
timestamp = "2019-02-06",
uuid = "5e73b4bf-ee73-45aa-97fe-32692006da80",
languages = "eng",
identifiers = "google:BaQYYJp84cYC,isbn:9780691048338" }
@book{ DonaldBindner418,
title = "A Student's Guide to the Study, Practice, and Tools of Modern Mathematics (Discrete Mathematics and Its Applications)",
title_sort = "Student's Guide to the Study, Practice, and Tools of Modern Mathematics (Discrete Mathematics and Its Applications), A",
author_sort = "Bindner, Donald",
author = "Donald Bindner",
note = "**A Student’s Guide to the Study, Practice, and Tools of Modern Mathematics** provides an accessible introduction to the world of mathematics. It offers tips on how to study and write mathematics as well as how to use various mathematical tools, from LaTeX and Beamer to *Mathematica ** *®* * and Maple**™ **to MATLAB** ®** and R. Along with a color insert, the text includes exercises and challenges to stimulate creativity and improve problem solving abilities.
The first section of the book covers issues pertaining to studying mathematics. The authors explain how to write mathematical proofs and papers, how to perform mathematical research, and how to give mathematical presentations.
The second section focuses on the use of mathematical tools for mathematical typesetting, generating data, finding patterns, and much more. The text describes how to compose a LaTeX file, give a presentation using Beamer, create mathematical diagrams, use computer algebra systems, and display ideas on a web page. The authors cover both popular commercial software programs and free and open source software, such as Linux and R.
Showing how to use technology to understand mathematics, this guide supports students on their way to becoming professional mathematicians. For beginning mathematics students, it helps them study for tests and write papers. As time progresses, the book aids them in performing advanced activities, such as computer programming, typesetting, and research.
**
",
cover = "/home/zack/Dropbox/Library/Donald Bindner/A Student's Guide to the Study, Practice, and Tools of Modern Mathematics (Discrete Mathematics (418)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Donald Bindner/A Student's Guide to the Study, Practice, and Tools of Modern Mathematics (Discrete Mathematics (418)/A Student's Guide to the Study, Practice, - Donald Bindner.pdf:PDF",
calibreid = "418",
isbn = "978-14-3984-606-3",
library_name = "Library",
year = "2010",
month = "Dec",
publisher = "Routledge",
volume = "1",
size = "3851086 octets",
tags = "textbook",
timestamp = "2019-02-06",
uuid = "bcb8754f-a6b1-4ccb-9817-906bdf8addd5",
languages = "eng",
identifiers = "isbn:9781439846063,amazon:1439846065" }
@book{ JOSEPHPOLCHINSKI419,
title = "String Theory: Volume 1, an Introduction to the Bosonic String",
title_sort = "String Theory: Volume 1, an Introduction to the Bosonic String",
author_sort = "POLCHINSKI, JOSEPH",
author = "JOSEPH POLCHINSKI",
note = "String Theory comprises two volumes which give a comprehensive and pedagogic account of the subject. Volume 1, first published in 1998, provides a thorough introduction to the bosonic string. The first four chapters introduce the central ideas of string theory, the tools of conformal field theory and of the Polyakov path integral, and the covariant quantization of the string. The next three chapters treat string interactions: the general formalism, and detailed treatments of the tree level and one loop amplitudes. Chapter eight covers toroidal compactification and many important aspects of string physics, such as T-duality and D-branes. Chapter nine treats higher-order amplitudes, including an analysis of their finiteness and unitarity, and various nonperturbative ideas. An appendix giving a short course on path integral methods is included. This is an essential text and reference for graduate students and researchers interested in modern superstring theory.
",
cover = "/home/zack/Dropbox/Library/JOSEPH POLCHINSKI/String Theory\_ Volume 1, an Introduction to the Bosonic String (419)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/JOSEPH POLCHINSKI/String Theory_ Volume 1, an Introduction to the Bosonic String (419)/String Theory_ Volume 1, an Introduction t - JOSEPH POLCHINSKI.pdf:PDF",
calibreid = "419",
isbn = "978-11-3945-740-8",
library_name = "Library",
year = "1998",
month = "Oct",
publisher = "Cambridge University Press",
volume = "1",
size = "2318930 octets",
tags = "Science, physics, Mathematical \& Computational, Quantum Theory, General",
timestamp = "2019-02-06",
uuid = "05f63672-2322-4fde-90a5-4afabbf25522",
languages = "eng",
identifiers = "isbn:9781139457408,google:jbM3t\_usmX0C" }
@book{ KatrinBecker420,
title = "String Theory and M-Theory: A Modern Introduction",
title_sort = "String Theory and M-Theory: A Modern Introduction",
author_sort = "Becker, Katrin \& Becker, Melanie \& SCHWARZ, JOHN H.",
author = "Katrin Becker and Melanie Becker and JOHN H. SCHWARZ",
note = "String theory is one of the most exciting and challenging areas of modern theoretical physics. This book guides the reader from the basics of string theory to recent developments. It introduces the basics of perturbative string theory, world-sheet supersymmetry, space-time supersymmetry, conformal field theory and the heterotic string, before describing modern developments, including D-branes, string dualities and M-theory. It then covers string geometry and flux compactifications, applications to cosmology and particle physics, black holes in string theory and M-theory, and the microscopic origin of black-hole entropy. It concludes with Matrix theory, the AdS/CFT duality and its generalizations. This book is ideal for graduate students and researchers in modern string theory, and will make an excellent textbook for a one-year course on string theory. It contains over 120 exercises with solutions, and over 200 homework problems with solutions available on a password protected website for lecturers at www.cambridge.org/9780521860697.
",
cover = "/home/zack/Dropbox/Library/Katrin Becker/String Theory and M-Theory\_ A Modern Introduction (420)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Katrin Becker/String Theory and M-Theory_ A Modern Introduction (420)/String Theory and M-Theory_ A Modern Intro - Katrin Becker.pdf:PDF",
calibreid = "420",
isbn = "978-11-3946-048-4",
library_name = "Library",
year = "2006",
month = "Dec",
publisher = "Cambridge University Press",
volume = "1",
size = "5070181 octets",
tags = "Science, physics, Mathematical \& Computational, General",
timestamp = "2019-02-06",
uuid = "cba2e860-cf00-4dc8-b4c7-f045813aefe1",
languages = "eng",
identifiers = "isbn:9781139460484,google:WgUkSTJWQacC" }
@book{ JohnFrankAdams421,
title = "Stable Homotopy Theory",
title_sort = "Stable Homotopy Theory",
author_sort = "Adams, John Frank",
author = "John Frank Adams",
cover = "/home/zack/Dropbox/Library/John Frank Adams/Stable Homotopy Theory (421)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/John Frank Adams/Stable Homotopy Theory (421)/Stable Homotopy Theory - John Frank Adams.pdf:PDF",
calibreid = "421",
library_name = "Library",
year = "1969",
month = "Feb",
publisher = "Springer",
volume = "1",
size = "2310711 octets",
tags = "Electronic Books, textbook, General, Topology, Mathematics, Homotopy Theory",
timestamp = "2019-02-06",
uuid = "37f2c154-3583-4b79-88f8-2b68402b3dfc",
languages = "eng",
identifiers = "google:t1bvAAAAMAAJ" }
@misc{ WalterRudin422,
title = "Solutions Manual to Walter Rudin's {"}Principles of Mathematical Analysis{"}",
title_sort = "Solutions Manual to Walter Rudin's {"}Principles of Mathematical Analysis{"}",
author_sort = "Rudin, Walter \& Cooke, Roger",
author = "Walter Rudin and Roger Cooke",
cover = "/home/zack/Dropbox/Library/Walter Rudin/Solutions Manual to Walter Rudin's \_Principles of Mathematical Analysis\_ (422)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Walter Rudin/Solutions Manual to Walter Rudin's _Principles of Mathematical Analysis_ (422)/Solutions Manual to Walter Rudin's _Princi - Walter Rudin.pdf:PDF",
calibreid = "422",
library_name = "Library",
year = "1976",
month = "Feb",
volume = "1",
size = "21281956 octets",
tags = "analysis, textbook, solutions",
timestamp = "2019-02-06",
uuid = "30168d03-8f23-4328-b10a-517b4f88c882",
languages = "eng",
identifiers = "google:fzxeygAACAAJ" }
@book{ KarenSmith423,
title = "An Invitation to Algebraic Geometry",
title_sort = "Invitation to Algebraic Geometry, An",
author_sort = "Smith, Karen \& Kahanpää, Lauri \& Kekäläinen, Pekka \& Traves, William",
author = "Karen Smith and Lauri Kahanpää and Pekka Kekäläinen and William Traves",
note = "The aim of this book is to describe the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.
",
cover = "/home/zack/Dropbox/Library/Karen Smith/An Invitation to Algebraic Geometry (423)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Karen Smith/An Invitation to Algebraic Geometry (423)/An Invitation to Algebraic Geometry - Karen Smith.pdf:PDF",
calibreid = "423",
isbn = "978-03-8798-980-8",
library_name = "Library",
year = "2004",
month = "Jan",
publisher = "Springer Science \& Business Media",
rating = "8",
volume = "1",
size = "16270840 octets",
tags = "Algebra, Geometry, algebraic geometry, textbook, General, Algebraic, Mathematics",
timestamp = "2019-02-06",
uuid = "a131b42c-b6ad-420e-890b-8228c8333a15",
languages = "eng",
identifiers = "isbn:9780387989808,amazon:0387989803,google:8zQYxx7PjqsC" }
@book{ MimHarrison424,
title = "Smart Words: Vocabulary for the Erudite",
title_sort = "Smart Words: Vocabulary for the Erudite",
author_sort = "Harrison, Mim",
author = "Mim Harrison",
note = "How and where to use 500 of the words that make you sound more cultured, worldly, and downright smart. Whoever said sounding smart had to be painful? It's all in how you acquire the {"}ten-dollar words{"} of English. Smart Words makes fast and smooth learning of words such as prelapsarian, sedulous, sybaritic and draconian. How? By sticking to ultra-simple definitions, then offering a memorable--and often funny--description of when or why to use the word. A sample sentence shows you how. And the phonetics are a snap. Here's the description of sybaritic, defined as luxurious: {"}Make that luxurious with a capital S. The word got its start from Sybaris, an ancient Greek city known for being a tad over the top in the pamper-me department.{"} Whether you're a word lover, a fan of quirky reference books, or simply in need of a vocabulary makeover, Smart Words will help you be smart(er) about the words you use and the way you use them.From the Trade Paperback edition.
",
cover = "/home/zack/Dropbox/Library/Mim Harrison/Smart Words\_ Vocabulary for the Erudite (424)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Mim Harrison/Smart Words_ Vocabulary for the Erudite (424)/Smart Words_ Vocabulary for the Erudite - Mim Harrison.pdf:PDF",
calibreid = "424",
isbn = "978-11-0105-104-7",
library_name = "Library",
year = "2008",
month = "Nov",
publisher = "Penguin",
volume = "1",
size = "939159 octets",
tags = "Language Arts \& Disciplines, Word Lists, Vocabulary, Reference, Writing Skills, Self Improvement",
timestamp = "2019-02-06",
uuid = "9a32070f-e3a4-48ac-84c6-70d2815381c8",
languages = "eng",
identifiers = "isbn:9781101051047,google:H8phV6\_P6vAC,amazon:0399534644,mobi-asin:B001JPH9GS" }
@book{ GlenE.Bredon425,
title = "Sheaf Theory",
title_sort = "Sheaf Theory",
author_sort = "Bredon, Glen E.",
author = "Glen E. Bredon",
note = "This book is primarily concerned with the study of cohomology theories of general topological spaces with {"}general coefficient systems. {"} Sheaves play several roles in this study. For example, they provide a suitable notion of {"}general coefficient systems. {"} Moreover, they furnish us with a common method of defining various cohomology theories and of comparison between different cohomology theories. The parts of the theory of sheaves covered here are those areas impor tant to algebraic topology. Sheaf theory is also important in other fields of mathematics, notably algebraic geometry, but that is outside the scope of the present book. Thus a more descriptive title for this book might have been Algebraic Topology from the Point of View of Sheaf Theory. Several innovations will be found in this book. Notably, the con cept of the {"}tautness{"} of a subspace (an adaptation of an analogous no tion of Spanier to sheaf-theoretic cohomology) is introduced and exploited throughout the book. The fact that sheaf-theoretic cohomology satisfies 1 the homotopy property is proved for general topological spaces. Also, relative cohomology is introduced into sheaf theory. Concerning relative cohomology, it should be noted that sheaf-theoretic cohomology is usually considered as a {"}single space{"} theory.
",
cover = "/home/zack/Dropbox/Library/Glen E. Bredon/Sheaf Theory (425)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Glen E. Bredon/Sheaf Theory (425)/Sheaf Theory - Glen E. Bredon.pdf:PDF",
calibreid = "425",
isbn = "978-14-6120-647-7",
library_name = "Library",
year = "2012",
month = "Dec",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "36972806 octets",
tags = "Algebra, algebraic geometry, textbook, General, Mathematics, Topology",
timestamp = "2019-02-06",
uuid = "8d77144f-4135-4ede-bf8b-c66676f81927",
languages = "eng",
identifiers = "google:JFXSBwAAQBAJ,isbn:9781461206477" }
@book{ JohnH.Conway426,
title = "The Symmetries of Things",
title_sort = "Symmetries of Things, The",
author_sort = "Conway, John H. \& Burgiel, Heidi \& Goodman-Strauss, Chaim",
author = "John H. Conway and Heidi Burgiel and Chaim Goodman-Strauss",
note = "Start with a single shape. Repeat it in some way—translation, reflection over a line, rotation around a point—and you have created symmetry. Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments. This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers.
",
cover = "/home/zack/Dropbox/Library/John H. Conway/The Symmetries of Things (426)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/John H. Conway/The Symmetries of Things (426)/The Symmetries of Things - John H. Conway.pdf:PDF",
calibreid = "426",
isbn = "978-14-3986-489-0",
library_name = "Library",
year = "2016",
month = "Apr",
publisher = "CRC Press",
volume = "1",
size = "73107557 octets",
tags = "Mathematics, General, Recreations \& Games, History \& Philosophy",
timestamp = "2019-02-06",
uuid = "88f1ae04-bbf3-446b-8add-b2f6fc3f76aa",
languages = "eng",
identifiers = "google:Drj1CwAAQBAJ,isbn:9781439864890" }
@misc{ MurraySpiegel427,
title = "Schaum's Outline of Fourier Analysis",
title_sort = "Schaum's Outline of Fourier Analysis",
author_sort = "Spiegel, Murray",
author = "Murray Spiegel",
cover = "/home/zack/Dropbox/Library/Murray Spiegel/Schaum's Outline of Fourier Analysis (427)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Murray Spiegel/Schaum's Outline of Fourier Analysis (427)/Schaum's Outline of Fourier Analysis - Murray Spiegel.pdf:PDF",
calibreid = "427",
library_name = "Library",
year = "2005",
month = "Dec",
volume = "1",
size = "9785929 octets",
timestamp = "2019-02-06",
uuid = "5239e8ca-81a7-4f63-b57c-9c152caf9879",
languages = "eng" }
@book{ JosephJ.Rotman428,
title = "An Introduction to Homological Algebra",
title_sort = "Introduction to Homological Algebra, An",
author_sort = "Rotman, Joseph J.",
author = "Joseph J. Rotman",
note = "Homological Algebra has grown in the nearly three decades since the rst e- tion of this book appeared in 1979. Two books discussing more recent results are Weibel, An Introduction to Homological Algebra, 1994, and Gelfand– Manin, Methods of Homological Algebra, 2003. In their Foreword, Gelfand and Manin divide the history of Homological Algebra into three periods: the rst period ended in the early 1960s, culminating in applications of Ho- logical Algebra to regular local rings. The second period, greatly in uenced by the work of A. Grothendieck and J. -P. Serre, continued through the 1980s; it involves abelian categories and sheaf cohomology. The third period, - volving derived categories and triangulated categories, is still ongoing. Both of these newer books discuss all three periods (see also Kashiwara–Schapira, Categories and Sheaves). The original version of this book discussed the rst period only; this new edition remains at the same introductory level, but it now introduces the second period as well. This change makes sense pe- gogically, for there has been a change in the mathematics population since 1979; today, virtually all mathematics graduate students have learned so- thing about functors and categories, and so I can now take the categorical viewpoint more seriously. When I was a graduate student, Homological Algebra was an unpopular subject. The general attitude was that it was a grotesque formalism, boring to learn, and not very useful once one had learned it.
",
cover = "/home/zack/Dropbox/Library/Joseph J. Rotman/An Introduction to Homological Algebra (428)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Joseph J. Rotman/An Introduction to Homological Algebra (428)/An Introduction to Homological Algebra - Joseph J. Rotman.pdf:PDF",
calibreid = "428",
isbn = "978-03-8768-324-9",
library_name = "Library",
year = "2008",
month = "Dec",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "3788860 octets",
tags = "Algebra, Abstract, textbook, General, Mathematics, History \& Philosophy, Topology",
timestamp = "2019-02-06",
uuid = "b759f3a0-9372-44c2-b228-857b069877dd",
languages = "eng",
identifiers = "isbn:9780387683249,google:P2HV4f8gyCgC" }
@misc{ DrorVarolin429,
title = "Riemann Surfaces By Way of Analytic Geometry",
title_sort = "Riemann Surfaces By Way of Analytic Geometry",
author_sort = "Varolin, Dror",
author = "Dror Varolin",
cover = "/home/zack/Dropbox/Library/Dror Varolin/Riemann Surfaces By Way of Analytic Geometry (429)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Dror Varolin/Riemann Surfaces By Way of Analytic Geometry (429)/Riemann Surfaces By Way of Analytic Geomet - Dror Varolin.pdf:PDF",
calibreid = "429",
library_name = "Library",
year = "100",
month = "Dec",
rating = "10",
volume = "1",
size = "1052904 octets",
timestamp = "2019-02-06",
uuid = "369881e1-938e-4039-8bc6-01d9e29a5b71",
languages = "eng" }
@misc{ doCarmo430,
title = "Riemannian Geometry",
title_sort = "Riemannian Geometry",
author_sort = "Carmo, do",
author = "do Carmo",
cover = "/home/zack/Dropbox/Library/do Carmo/Riemannian Geometry (430)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/do Carmo/Riemannian Geometry (430)/Riemannian Geometry - do Carmo.pdf:PDF",
calibreid = "430",
library_name = "Library",
year = "100",
month = "Dec",
rating = "10",
volume = "1",
size = "10527857 octets",
timestamp = "2019-02-06",
uuid = "f0cbbfe1-5a1d-419e-8eb6-32abef9bb3c8",
languages = "eng" }
@book{ WalterRudin431,
title = "Principles of Mathematical Analysis",
title_sort = "Principles of Mathematical Analysis",
author_sort = "Rudin, Walter",
author = "Walter Rudin",
note = "The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.
",
cover = "/home/zack/Dropbox/Library/Walter Rudin/Principles of Mathematical Analysis (431)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Walter Rudin/Principles of Mathematical Analysis (431)/Principles of Mathematical Analysis - Walter Rudin.pdf:PDF",
calibreid = "431",
isbn = "978-00-7085-613-4",
library_name = "Library",
year = "1976",
month = "Feb",
publisher = "McGraw-Hill",
rating = "10",
volume = "1",
size = "15824843 octets",
tags = "Calculus, Mathematics, analysis, textbook, real analysis",
timestamp = "2019-02-06",
uuid = "450bbdb7-a0c6-4d10-9210-f1cfc97d9c56",
languages = "eng",
identifiers = "google:kwqzPAAACAAJ,isbn:9780070856134" }
@book{ CharlesChapmanPugh432,
title = "Real Mathematical Analysis",
title_sort = "Real Mathematical Analysis",
author_sort = "Pugh, Charles Chapman",
author = "Charles Chapman Pugh",
note = "Was plane geometry your favorite math course in high school? Did you like proving theorems? Are you sick of memorizing integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is pure mathematics, and I hope it appeals to you, the budding pure mathematician. Berkeley, California, USA CHARLES CHAPMAN PUGH Contents 1 Real Numbers 1 1 Preliminaries 1 2 Cuts . . . . . 10 3 Euclidean Space . 21 4 Cardinality . . . 28 5* Comparing Cardinalities 34 6* The Skeleton of Calculus 36 Exercises . . . . . . . . 40 2 A Taste of Topology 51 1 Metric Space Concepts 51 2 Compactness 76 3 Connectedness 82 4 Coverings . . . 88 5 Cantor Sets . . 95 6* Cantor Set Lore 99 7* Completion 108 Exercises . . . 115 x Contents 3 Functions of a Real Variable 139 1 Differentiation. . . . 139 2 Riemann Integration 154 Series . . 179 3 Exercises 186 4 Function Spaces 201 1 Uniform Convergence and CO[a, b] 201 2 Power Series . . . . . . . . . . . . 211 3 Compactness and Equicontinuity in CO . 213 4 Uniform Approximation in CO 217 Contractions and ODE's . . . . . . . . 228 5 6* Analytic Functions . . . . . . . . . . . 235 7* Nowhere Differentiable Continuous Functions . 240 8* Spaces of Unbounded Functions 248 Exercises . . . . . 251 267 5 Multivariable Calculus 1 Linear Algebra . . 267 2 Derivatives. . . . 271 3 Higher derivatives . 279 4 Smoothness Classes . 284 5 Implicit and Inverse Functions 286 290 6* The Rank Theorem 296 7* Lagrange Multipliers 8 Multiple Integrals . .
",
cover = "/home/zack/Dropbox/Library/Charles Chapman Pugh/Real Mathematical Analysis (432)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Charles Chapman Pugh/Real Mathematical Analysis (432)/Real Mathematical Analysis - Charles Chapman Pugh.pdf:PDF",
calibreid = "432",
isbn = "978-03-8721-684-3",
library_name = "Library",
year = "2013",
month = "Mar",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "6951774 octets",
tags = "Mathematics, Mathematical Analysis",
timestamp = "2019-02-06",
uuid = "94ec5f2a-06d7-4608-a17a-0e3002295dea",
languages = "eng",
identifiers = "isbn:9780387216843,google:Rs7iBwAAQBAJ" }
@misc{ JYeh433,
title = "Real Analysis Theory of Measure",
title_sort = "Real Analysis Theory of Measure",
author_sort = "Yeh, J",
author = "J Yeh",
cover = "/home/zack/Dropbox/Library/J Yeh/Real Analysis Theory of Measure (433)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/J Yeh/Real Analysis Theory of Measure (433)/Real Analysis Theory of Measure - J Yeh.pdf:PDF",
calibreid = "433",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "37191498 octets",
timestamp = "2019-02-06",
uuid = "ef92f4b0-becc-4ffe-8efe-1ed80f32c5d5",
languages = "eng" }
@book{ GeraldB.Folland435,
title = "Real Analysis: Modern Techniques and Their Applications",
title_sort = "Real Analysis: Modern Techniques and Their Applications",
author_sort = "Folland, Gerald B.",
author = "Gerald B. Folland",
note = "An in-depth look at real analysis and its applications-now expanded and revised. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of functional analysis. It illustrates the use of the general theories and introduces readers to other branches of analysis such as Fourier analysis, distribution theory, and probability theory. This edition is bolstered in content as well as in scope-extending its usefulness to students outside of pure analysis as well as those interested in dynamical systems. The numerous exercises, extensive bibliography, and review chapter on sets and metric spaces make Real Analysis: Modern Techniques and Their Applications, Second Edition invaluable for students in graduate-level analysis courses. New features include: * Revised material on the n-dimensional Lebesgue integral. * An improved proof of Tychonoff's theorem. * Expanded material on Fourier analysis. * A newly written chapter devoted to distributions and differential equations. * Updated material on Hausdorff dimension and fractal dimension.
",
cover = "/home/zack/Dropbox/Library/Gerald B. Folland/Real Analysis\_ Modern Techniques and Their Applications (435)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Gerald B. Folland/Real Analysis_ Modern Techniques and Their Applications (435)/Real Analysis_ Modern Techniques and Their - Gerald B. Folland.pdf:PDF",
calibreid = "435",
isbn = "978-11-1862-639-9",
library_name = "Library",
year = "2013",
month = "Jun",
publisher = "John Wiley \& Sons",
rating = "8",
volume = "1",
size = "148263600 octets",
tags = "Mathematics, Mathematical Analysis, textbook, real analysis",
timestamp = "2019-02-06",
uuid = "ef5bc01b-15d8-459b-9a29-c580ee6e767b",
languages = "eng",
identifiers = "google:wI4fAwAAQBAJ,isbn:9781118626399" }
@misc{ PhilipGriffithsJohnMorgan436,
title = "Rational Homotopy Theory and Differential Forms",
title_sort = "Rational Homotopy Theory and Differential Forms",
author_sort = "Philip Griffiths, John Morgan",
author = "Philip Griffiths, John Morgan",
cover = "/home/zack/Dropbox/Library/Philip Griffiths, John Morgan/Rational Homotopy Theory and Differential Forms (436)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Philip Griffiths, John Morgan/Rational Homotopy Theory and Differential Forms (436)/Rational Homotopy Theory and Differential - Philip Griffiths, John Morgan.pdf:PDF",
calibreid = "436",
library_name = "Library",
year = "2013",
month = "Sep",
volume = "1",
size = "1841772 octets",
tags = "research, textbook, Topology",
timestamp = "2019-02-06",
uuid = "a48723c9-db8f-4007-9fc0-13a39999b3d7",
languages = "eng" }
@book{ RazvanGelca437,
title = "Putnam and Beyond",
title_sort = "Putnam and Beyond",
author_sort = "Gelca, Razvan \& Andreescu, Titu",
author = "Razvan Gelca and Titu Andreescu",
note = "Putnam and Beyond takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis in one and several variables, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. Key features of Putnam and Beyond * Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. * Each chapter systematically presents a single subject within which problems are clustered in every section according to the specific topic. * The exposition is driven by more than 1100 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. * Complete solutions to all problems are given at the end of the book. The source, author, and historical background are cited whenever possible. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for self-study by undergraduate and graduate students, as well as teachers and researchers in the physical sciences who wish to to expand their mathematical horizons.
",
cover = "/home/zack/Dropbox/Library/Razvan Gelca/Putnam and Beyond (437)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Razvan Gelca/Putnam and Beyond (437)/Putnam and Beyond - Razvan Gelca.pdf:PDF",
calibreid = "437",
isbn = "978-03-8768-445-1",
library_name = "Library",
year = "2007",
month = "Aug",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "3618226 octets",
tags = "Algebra, Calculus, combinatorics, General, Geometry, Mathematical Analysis, Mathematics, number theory, problems",
timestamp = "2019-02-06",
uuid = "b20852fa-3037-423a-a47b-981cb6c6a910",
languages = "eng",
identifiers = "google:VwrlnZ6QyHgC,isbn:9780387684451" }
@book{ WalterRudin439,
title = "Real and Complex Analysis",
title_sort = "Real and Complex Analysis",
author_sort = "Rudin, Walter",
author = "Walter Rudin",
note = "This is an advanced text for the one- or two-semester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level. The basic techniques and theorems of analysis are presented in such a way that the intimate connections between its various branches are strongly emphasized. The traditionally separate subjects of 'real analysis' and 'complex analysis' are thus united in one volume. Some of the basic ideas from functional analysis are also included. This is the only book to take this unique approach. The third edition includes a new chapter on differentiation. Proofs of theorems presented in the book are concise and complete and many challenging exercises appear at the end of each chapter. The book is arranged so that each chapter builds upon the other, giving students a gradual understanding of the subject. This text is part of the Walter Rudin Student Series in Advanced Mathematics.
",
cover = "/home/zack/Dropbox/Library/Walter Rudin/Real and Complex Analysis (439)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Walter Rudin/Real and Complex Analysis (439)/Real and Complex Analysis - Walter Rudin.pdf:PDF",
calibreid = "439",
isbn = "978-00-7054-233-4",
library_name = "Library",
year = "1974",
month = "Feb",
publisher = "McGraw-Hill",
rating = "10",
volume = "1",
size = "6868013 octets",
tags = "measure theory, Complex Analysis, analysis, textbook, real analysis",
timestamp = "2019-02-06",
uuid = "8b883736-a3b2-441a-8d74-1731fe2c6c9d",
languages = "eng",
identifiers = "isbn:9780070542334,google:iU7bJXcIfMMC" }
@book{ ReyCasse440,
title = "Projective Geometry: An Introduction",
title_sort = "Projective Geometry: An Introduction",
author_sort = "Casse, Rey",
author = "Rey Casse",
note = "This lucid and accessible text provides an introductory guide to projective geometry, an area of mathematics concerned with the properties and invariants of geometric figures under projection. Including numerous worked examples and exercises throughout, the book covers axiomatic geometry, field planes and PG(r, F), coordinating a projective plane, non-Desarguesian planes, conics and quadrics in PG(3, F). Assuming familiarity with linear algebra, elementary group theory, partial differentiation and finite fields, as well as some elementary coordinate geometry, this text is ideal for 3rd and 4th year mathematics undergraduates.
",
cover = "/home/zack/Dropbox/Library/Rey Casse/Projective Geometry\_ An Introduction (440)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Rey Casse/Projective Geometry_ An Introduction (440)/Projective Geometry_ An Introduction - Rey Casse.pdf:PDF",
calibreid = "440",
isbn = "978-01-9929-885-3",
library_name = "Library",
year = "2006",
month = "Aug",
publisher = "OUP Oxford",
volume = "1",
size = "1229241 octets",
tags = "Mathematics, Geometry, General",
timestamp = "2019-02-06",
uuid = "4000b3a5-3704-4c60-91d3-1fb64bf5bdf2",
languages = "eng",
identifiers = "isbn:9780199298853,google:f\_oTDAAAQBAJ" }
@book{ Teodora-LilianaRadulescu441,
title = "Problems in Real Analysis: Advanced Calculus on the Real Axis",
title_sort = "Problems in Real Analysis: Advanced Calculus on the Real Axis",
author_sort = "Radulescu, Teodora-Liliana \& Radulescu, Vicentiu D. \& Andreescu, Titu",
author = "Teodora-Liliana Radulescu and Vicentiu D. Radulescu and Titu Andreescu",
note = "Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategies which develop a connection between analysis and other mathematical disciplines, such as physics and engineering. A broad view of mathematics is presented throughout; the text is excellent for the classroom or self-study. It is intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay between applied analysis, mathematical physics, and numerical analysis. Key features: *Uses competition-inspired problems as a platform for training typical inventive skills; *Develops basic valuable techniques for solving problems in mathematical analysis on the real axis and provides solid preparation for deeper study of real analysis; *Includes numerous examples and interesting, valuable historical accounts of ideas and methods in analysis; *Offers a systematic path to organizing a natural transition that bridges elementary problem-solving activity to independent exploration of new results and properties.
",
cover = "/home/zack/Dropbox/Library/Teodora-Liliana Radulescu/Problems in Real Analysis\_ Advanced Calculus on the Real Axis (441)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Teodora-Liliana Radulescu/Problems in Real Analysis_ Advanced Calculus on the Real Axis (441)/Problems in Real Analysis_ Advanced Calcul - Teodora-Liliana Radulescu.pdf:PDF",
calibreid = "441",
isbn = "978-03-8777-378-0",
library_name = "Library",
year = "2009",
month = "May",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "3136694 octets",
tags = "Applied, Calculus, Differential Equations, General, Mathematical Analysis, Mathematics, Number Systems, Numerical Analysis, real analysis, textbook, problems",
timestamp = "2019-02-06",
uuid = "78beb20f-b3dd-4c4e-8728-02d4ae7a65b3",
languages = "eng",
identifiers = "google:hGYficzfWyQC,isbn:9780387773780" }
@book{ M.RamMurty442,
title = "Problems in Algebraic Number Theory",
title_sort = "Problems in Algebraic Number Theory",
author_sort = "Murty, M. Ram \& Esmonde, Jody",
author = "M. Ram Murty and Jody (indigo) Esmonde",
note = "Asking how one does mathematical research is like asking how a composer creates a masterpiece. No one really knows. However, it is a recognized fact that problem solving plays an important role in training the mind of a researcher. It would not be an exaggeration to say that the ability to do mathematical research lies essentially asking {"}well-posed{"} questions. The approach taken by the authors in Problems in Algebraic Number Theory is based on the principle that questions focus and orient the mind. The book is a collection of about 500 problems in algebraic number theory, systematically arranged to reveal ideas and concepts in the evolution of the subject. While some problems are easy and straightforward, others are more difficult. For this new edition the authors added a chapter and revised several sections. The text is suitable for a first course in algebraic number theory with minimal supervision by the instructor. The exposition facilitates independent study, and students having taken a basic course in calculus, linear algebra, and abstract algebra will find these problems interesting and challenging. For the same reasons, it is ideal for non-specialists in acquiring a quick introduction to the subject.
",
cover = "/home/zack/Dropbox/Library/M. Ram Murty/Problems in Algebraic Number Theory (442)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/M. Ram Murty/Problems in Algebraic Number Theory (442)/Problems in Algebraic Number Theory - M. Ram Murty.pdf:PDF",
calibreid = "442",
isbn = "978-03-8726-998-6",
library_name = "Library",
year = "2006",
month = "Mar",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "2438878 octets",
tags = "Mathematics, number theory, Probability \& Statistics, Stochastic Processes, textbook, problems",
timestamp = "2019-02-06",
uuid = "9daef30c-d8a6-407e-b585-ab9c1828b106",
languages = "eng",
identifiers = "isbn:9780387269986,google:eoTYmBqdq3wC" }
@book{ E.T.Jaynes443,
title = "Probability Theory: The Logic of Science",
title_sort = "Probability Theory: The Logic of Science",
author_sort = "Jaynes, E. T. \& Bretthorst, G. Larry",
author = "E. T. Jaynes and G. Larry Bretthorst",
note = "The standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between 'probability theory' and 'statistical inference', leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. New results are discussed, along with applications of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology. It contains many exercises and problems, and is suitable for use as a textbook on graduate level courses involving data analysis. The material is aimed at readers who are already familiar with applied mathematics at an advanced undergraduate level or higher. The book will be of interest to scientists working in any area where inference from incomplete information is necessary.
",
cover = "/home/zack/Dropbox/Library/E. T. Jaynes/Probability Theory\_ The Logic of Science (443)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/E. T. Jaynes/Probability Theory_ The Logic of Science (443)/Probability Theory_ The Logic of Science - E. T. Jaynes.pdf:PDF",
calibreid = "443",
isbn = "978-05-2159-271-0",
library_name = "Library",
year = "2003",
month = "Apr",
publisher = "Cambridge University Press",
volume = "1",
size = "4921688 octets",
tags = "Mathematics, Applied, Probability \& Statistics, General, Science, physics, Mathematical \& Computational",
timestamp = "2019-02-06",
uuid = "6614496f-8987-4e97-ae0d-afa375d37c95",
languages = "eng",
identifiers = "google:tTN4HuUNXjgC,isbn:9780521592710" }
@misc{ lsr444,
title = "PROBLEMS AND SOLUTIONS IN MATHEMATICS",
title_sort = "PROBLEMS AND SOLUTIONS IN MATHEMATICS",
author_sort = "lsr",
author = "lsr",
cover = "/home/zack/Dropbox/Library/lsr/PROBLEMS AND SOLUTIONS IN MATHEMATICS (444)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/lsr/PROBLEMS AND SOLUTIONS IN MATHEMATICS (444)/PROBLEMS AND SOLUTIONS IN MATHEMATICS - lsr.pdf:PDF",
calibreid = "444",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "13840756 octets",
tags = "problems",
timestamp = "2019-02-06",
uuid = "dfd2ffd2-cc40-4333-ab59-61e20d4ae9d4",
languages = "eng" }
@misc{ BirkhauserBasel445,
title = "A Probability Path",
title_sort = "Probability Path, A",
author_sort = "Basel, Birkhäuser",
author = "Birkhäuser Basel",
cover = "/home/zack/Dropbox/Library/Birkhauser Basel/A Probability Path (445)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Birkhauser Basel/A Probability Path (445)/A Probability Path - Birkhauser Basel.pdf:PDF",
calibreid = "445",
library_name = "Library",
year = "2008",
month = "Sep",
rating = "10",
volume = "1",
size = "42469979 octets",
timestamp = "2019-02-06",
uuid = "f68b40bc-cac7-48f0-b82f-89257048d272",
languages = "eng" }
@misc{ Birnbaum446,
title = "Probability and Mathematical Statistics",
title_sort = "Probability and Mathematical Statistics",
author_sort = "Birnbaum",
author = "Birnbaum",
cover = "/home/zack/Dropbox/Library/Birnbaum/Probability and Mathematical Statistics (446)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Birnbaum/Probability and Mathematical Statistics (446)/Probability and Mathematical Statistics - Birnbaum.pdf:PDF",
calibreid = "446",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "11196208 octets",
timestamp = "2019-02-06",
uuid = "9779b3ce-c6e5-48ec-83c6-d899baa0500e",
languages = "eng" }
@misc{ PhilipGriffithsJosephHarris447,
title = "Principles of Algebraic Geometry",
title_sort = "Principles of Algebraic Geometry",
author_sort = "Philip Griffiths, Joseph Harris",
author = "Philip Griffiths, Joseph Harris",
cover = "/home/zack/Dropbox/Library/Philip Griffiths, Joseph Harris/Principles of Algebraic Geometry (447)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Philip Griffiths, Joseph Harris/Principles of Algebraic Geometry (447)/Principles of Algebraic Geometry - Philip Griffiths, Joseph Harris.pdf:PDF",
calibreid = "447",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "25581262 octets",
tags = "textbook, algebraic geometry",
timestamp = "2019-02-06",
uuid = "0cb6c330-cdbb-4da4-be72-fc117678f988",
languages = "eng" }
@book{ JimPitman448,
title = "Probability",
title_sort = "Probability",
author_sort = "Pitman, Jim",
author = "Jim Pitman",
note = "Preface to the Instructor This is a text for a one-quarter or one-semester course in probability, aimed at stu dents who have done a year of calculus. The book is organized so a student can learn the fundamental ideas of probability from the first three chapters without reliance on calculus. Later chapters develop these ideas further using calculus tools. The book contains more than the usual number of examples worked out in detail. It is not possible to go through all these examples in class. Rather, I suggest that you deal quickly with the main points of theory, then spend class time on problems from the exercises, or your own favorite problems. The most valuable thing for students to learn from a course like this is how to pick up a probability problem in a new setting and relate it to the standard body of theory. The more they see this happen in class, and the more they do it themselves in exercises, the better. The style of the text is deliberately informal. My experience is that students learn more from intuitive explanations, diagrams, and examples than they do from theo rems and proofs. So the emphasis is on problem solving rather than theory.
",
cover = "/home/zack/Dropbox/Library/Jim Pitman/Probability (448)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Jim Pitman/Probability (448)/Probability - Jim Pitman.pdf:PDF",
calibreid = "448",
isbn = "978-14-6124-374-8",
library_name = "Library",
year = "2012",
month = "Dec",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "21772790 octets",
tags = "Mathematics, Probability \& Statistics, General, Stochastic Processes",
timestamp = "2019-02-06",
uuid = "0abff9f9-e397-401d-abf5-4e5ea6c0f1d1",
languages = "eng",
identifiers = "google:AoDkBwAAQBAJ,isbn:9781461243748" }
@book{ StevenA.Gaal449,
title = "Point Set Topology",
title_sort = "Point Set Topology",
author_sort = "Gaal, Steven A.",
author = "Steven A. Gaal",
note = "An understanding of topology is fundamental to the grasp of most branches of mathematical analysis and geometry. This wide-ranging treatment opens with basic concepts of set theory and topological spaces; it concludes with the rudiments of functional analysis. Its remarkable depth contributes to its versatility as a classroom text, a guide for independent study, and a reference. Suitable for advanced undergraduates and graduate students, this volume can serve as a text for a complete course in topology. Its comprehensive scope and coherent presentation make it equally valuable as a self-contained guide for those wishing to study at their own pace. Additional enrichment materials and advanced topic coverage—including extensive material on differentiable manifolds, abstract harmonic analysis, and fixed point theorems—constitute an excellent reference for mathematics teachers, students, and professionals.
",
cover = "/home/zack/Dropbox/Library/Steven A. Gaal/Point Set Topology (449)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Steven A. Gaal/Point Set Topology (449)/Point Set Topology - Steven A. Gaal.pdf:PDF",
calibreid = "449",
isbn = "978-04-8647-222-5",
library_name = "Library",
year = "2009",
month = "Apr",
publisher = "Courier Corporation",
volume = "1",
size = "1022828 octets",
tags = "Mathematics, Topology, lecture notes",
timestamp = "2019-02-06",
uuid = "159725c6-5d99-4d11-ae8b-4925b562691e",
languages = "eng",
identifiers = "google:Lgg7BAAAQBAJ,isbn:9780486472225" }
@misc{ TimothyGowers450,
title = "The Princeton Companion to Math",
title_sort = "Princeton Companion to Math, The",
author_sort = "Gowers, Timothy",
author = "Timothy Gowers",
cover = "/home/zack/Dropbox/Library/Timothy Gowers/The Princeton Companion to Math (450)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Timothy Gowers/The Princeton Companion to Math (450)/The Princeton Companion to Math - Timothy Gowers.pdf:PDF",
calibreid = "450",
library_name = "Library",
year = "2008",
month = "Jul",
volume = "1",
size = "9619923 octets",
timestamp = "2019-02-06",
uuid = "c43665cd-a4dd-4fb1-902e-aaf951712588",
languages = "eng" }
@book{ ChristopherM.Bishop451,
title = "Pattern Recognition and Machine Learning",
title_sort = "Pattern Recognition and Machine Learning",
author_sort = "Bishop, Christopher M.",
author = "Christopher M. Bishop",
note = "Pattern recognition has its origins in engineering, whereas machine learning grew out of computer science. However, these activities can be viewed as two facets of the same ?eld, and together they have undergone substantial development over the past ten years. In particular, Bayesian methods have grown from a specialist niche to become mainstream, while graphical models have emerged as a general framework for describing and applying probabilistic models. Also, the practical applicability of Bayesian methods has been greatly enhanced through the development of a range of approximate inference algorithms such as variational Bayes and expectation pro- gation. Similarly, new models based on kernels have had signi?cant impact on both algorithms and applications. This new textbook re?ects these recent developments while providing a comp- hensive introduction to the ?elds of pattern recognition and machine learning. It is aimed at advanced undergraduates or ?rst year PhD students, as well as researchers and practitioners, and assumes no previous knowledge of pattern recognition or - chine learning concepts. Knowledge of multivariate calculus and basic linear algebra is required, and some familiarity with probabilities would be helpful though not - sential as the book includes a self-contained introduction to basic probability theory.
",
cover = "/home/zack/Dropbox/Library/Christopher M. Bishop/Pattern Recognition and Machine Learning (451)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Christopher M. Bishop/Pattern Recognition and Machine Learning (451)/Pattern Recognition and Machine Learning - Christopher M. Bishop.pdf:PDF",
calibreid = "451",
isbn = "978-14-9393-843-8",
library_name = "Library",
year = "2016",
month = "Aug",
publisher = "Springer New York",
volume = "1",
size = "6342721 octets",
tags = "Computers, Computer Vision \& Pattern Recognition, Intelligence (AI) \& Semantics, Mathematics, Probability \& Statistics, General, Computer Graphics, Optical Data Processing, Software Development \& Engineering",
timestamp = "2019-02-06",
uuid = "8d0e2545-c51c-46df-85d6-db7d63785321",
languages = "eng",
identifiers = "isbn:9781493938438,google:kOXDtAEACAAJ" }
@book{ WalterA.Strauss452,
title = "Partial Differential Equations: An Introduction, 2nd Edition",
title_sort = "Partial Differential Equations: An Introduction, 2nd Edition",
author_sort = "Strauss, Walter A.",
author = "Walter A. Strauss",
note = "Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
",
cover = "/home/zack/Dropbox/Library/Walter A. Strauss/Partial Differential Equations\_ An Introduction, 2nd Edition (452)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Walter A. Strauss/Partial Differential Equations_ An Introduction, 2nd Edition (452)/Partial Differential Equations_ An Introdu - Walter A. Strauss.pdf:PDF",
calibreid = "452",
isbn = "978-11-1831-316-9",
library_name = "Library",
year = "2007",
month = "Dec",
publisher = "Wiley Global Education",
volume = "1",
size = "3640504 octets",
tags = "Differential Equations, Mathematics, Partial, textbook",
timestamp = "2019-02-06",
uuid = "6382c3b4-c5d7-420a-ba33-2f28b5bde087",
languages = "eng",
identifiers = "google:OWocAAAAQBAJ,isbn:9781118313169" }
@book{ MorrisTenenbaum453,
title = "Ordinary Differential Equations: An Elementary Textbook for Students of Mathematics, Engineering, and the Sciences",
title_sort = "Ordinary Differential Equations: An Elementary Textbook for Students of Mathematics, Engineering, and the Sciences",
author_sort = "Tenenbaum, Morris \& Pollard, Harry",
author = "Morris Tenenbaum and Harry Pollard",
note = "This unusually well-written, skillfully organized introductory text provides an exhaustive survey of ordinary differential equations — equations which express the relationship between variables and their derivatives. In a disarmingly simple, step-by-step style that never sacrifices mathematical rigor, the authors — Morris Tenenbaum of Cornell University, and Harry Pollard of Purdue University — introduce and explain complex, critically-important concepts to undergraduate students of mathematics, engineering and the sciences.The book begins with a section that examines the origin of differential equations, defines basic terms and outlines the general solution of a differential equation-the solution that actually contains every solution of such an equation. Subsequent sections deal with such subjects as: integrating factors; dilution and accretion problems; the algebra of complex numbers; the linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas; and Picard's Method of Successive Approximations.The book contains two exceptional chapters: one on series methods of solving differential equations, the second on numerical methods of solving differential equations. The first includes a discussion of the Legendre Differential Equation, Legendre Functions, Legendre Polynomials, the Bessel Differential Equation, and the Laguerre Differential Equation. Throughout the book, every term is clearly defined and every theorem lucidly and thoroughly analyzed, and there is an admirable balance between the theory of differential equations and their application. An abundance of solved problems and practice exercises enhances the value of Ordinary Differential Equations as a classroom text for undergraduate students and teaching professionals. The book concludes with an in-depth examination of existence and uniqueness theorems about a variety of differential equations, as well as an introduction to the theory of determinants and theorems about Wronskians.
",
cover = "/home/zack/Dropbox/Library/Morris Tenenbaum/Ordinary Differential Equations\_ An Elementary Textbook for Students of Mathematics, Engineerin (453)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Morris Tenenbaum/Ordinary Differential Equations_ An Elementary Textbook for Students of Mathematics, Engineerin (453)/Ordinary Differential Equations_ An Elemen - Morris Tenenbaum.pdf:PDF",
calibreid = "453",
isbn = "978-04-8664-940-5",
library_name = "Library",
year = "1963",
month = "Feb",
publisher = "Courier Corporation",
volume = "1",
size = "22659729 octets",
tags = "Mathematics, Calculus, Differential Equations, General",
timestamp = "2019-02-06",
uuid = "540d7f55-5590-427f-be68-def49f126271",
languages = "eng",
identifiers = "isbn:9780486649405,google:iU4zDAAAQBAJ" }
@misc{ MartinH.Weissman454,
title = "Number Theory",
title_sort = "Number Theory",
author_sort = "Weissman, Martin H.",
author = "Martin H. Weissman",
cover = "/home/zack/Dropbox/Library/Martin H. Weissman/Number Theory (454)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Martin H. Weissman/Number Theory (454)/Number Theory - Martin H. Weissman.pdf:PDF",
calibreid = "454",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "735574 octets",
timestamp = "2019-02-06",
uuid = "daebe44f-afdd-4a4c-a194-7150b69b996e",
languages = "eng" }
@book{ RichardL.Burden455,
title = "Numerical Analysis",
title_sort = "Numerical Analysis",
author_sort = "Burden, Richard L.",
author = "Richard L. Burden",
note = "This well-respected text gives an introduction to the theory and application of modern numerical approximation techniques for students taking a one- or two-semester course in numerical analysis. With an accessible treatment that only requires a calculus prerequisite, Burden and Faires explain how, why, and when approximation techniques can be expected to work, and why, in some situations, they fail. A wealth of examples and exercises develop students' intuition, and demonstrate the subject's practical applications to important everyday problems in math, computing, engineering, and physical science disciplines. The first book of its kind built from the ground up to serve a diverse undergraduate audience, three decades later Burden and Faires remains the definitive introduction to a vital and practical subject.
**
",
cover = "/home/zack/Dropbox/Library/Richard L. Burden/Numerical Analysis (455)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Richard L. Burden/Numerical Analysis (455)/Numerical Analysis - Richard L. Burden.pdf:PDF",
calibreid = "455",
isbn = "978-05-3873-351-9",
library_name = "Library",
year = "2010",
month = "Aug",
publisher = "Cengage Learning",
rating = "8",
volume = "1",
size = "7225138 octets",
tags = "Numerical Analysis, textbook",
timestamp = "2019-02-06",
uuid = "7ccceed9-5efa-428b-be97-bf773657d54f",
languages = "eng",
identifiers = "isbn:9780538733519,amazon:0538733519" }
@misc{ Unknown456,
title = "Notes on Representation Stability",
title_sort = "Notes on Representation Stability",
author_sort = "Unknown",
author = "Unknown",
cover = "/home/zack/Dropbox/Library/Unknown/Notes on Representation Stability (456)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Unknown/Notes on Representation Stability (456)/Notes on Representation Stability - Unknown.pdf:PDF",
calibreid = "456",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "683937 octets",
timestamp = "2019-02-06",
uuid = "ef19b0f6-d6f8-42cc-a893-5d2b27db4e5c",
languages = "eng" }
@book{ JohnWillardMilnor457,
title = "Morse Theory",
title_sort = "Morse Theory",
author_sort = "Milnor, John Willard \& Spivak, Michael \& Wells, R. \& Wells, Robert",
author = "John Willard Milnor and Michael Spivak and R. Wells and Robert Wells (mathematician)",
note = "One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the faculty of the Institute for Advanced Study, and Princeton published his Topological Methods in the Theory of Functions of a Complex Variable in the Annals of Mathematics Studies series in 1947.) One classical application of Morse theory includes the attempt to understand, with only limited information, the large-scale structure of an object. This kind of problem occurs in mathematical physics, dynamic systems, and mechanical engineering. Morse theory has received much attention in the last two decades as a result of a famous paper in which theoretical physicist Edward Witten relates Morse theory to quantum field theory. Milnor was awarded the Fields Medal (the mathematical equivalent of a Nobel Prize) in 1962 for his work in differential topology. He has since received the National Medal of Science (1967) and the Steele Prize from the American Mathematical Society twice (1982 and 2004) in recognition of his explanations of mathematical concepts across a wide range of scienti.c disciplines. The citation reads, {"}The phrase sublime elegance is rarely associated with mathematical exposition, but it applies to all of Milnor's writings. Reading his books, one is struck with the ease with which the subject is unfolding and it only becomes apparent after re.ection that this ease is the mark of a master.' Milnor has published five books with Princeton University Press.
",
cover = "/home/zack/Dropbox/Library/John Willard Milnor/Morse Theory (457)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/John Willard Milnor/Morse Theory (457)/Morse Theory - John Willard Milnor.pdf:PDF",
calibreid = "457",
isbn = "978-06-9108-008-6",
library_name = "Library",
year = "1963",
month = "Feb",
publisher = "Princeton University Press",
volume = "1",
size = "634482 octets",
tags = "Geometry, Mathematics, Differential, Arithmetic, Topology",
timestamp = "2019-02-06",
uuid = "1baacd43-3ce2-4a09-a132-89f7f2da31a0",
languages = "eng",
identifiers = "google:YkhDvAEACAAJ,isbn:9780691080086" }
@book{ PaulR.Halmos458,
title = "Naive Set Theory",
title_sort = "Naive Set Theory",
author_sort = "Halmos, Paul R.",
author = "Paul R. Halmos",
note = "This classic by one of the twentieth century's most prominent mathematicians offers a concise introduction to set theory. Suitable for advanced undergraduates and graduate students in mathematics, it employs the language and notation of informal mathematics. There are very few displayed theorems; most of the facts are stated in simple terms, followed by a sketch of the proof. Only a few exercises are designated as such since the book itself is an ongoing series of exercises with hints. The treatment covers the basic concepts of set theory, cardinal numbers, transfinite methods, and a good deal more in 25 brief chapters. {"}This book is a very specialized but broadly useful introduction to set theory. It is aimed at 'the beginning student of advanced mathematics' … who wants to understand the set-theoretic underpinnings of the mathematics he already knows or will learn soon. It is also useful to the professional mathematician who knew these underpinnings at one time but has now forgotten exactly how they go. … A good reference for how set theory is used in other parts of mathematics.{"} — Allen Stenger, The Mathematical Association of America, September 2011.
",
cover = "/home/zack/Dropbox/Library/Paul R. Halmos/Naive Set Theory (458)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Paul R. Halmos/Naive Set Theory (458)/Naive Set Theory - Paul R. Halmos.pdf:PDF",
calibreid = "458",
isbn = "978-04-8682-115-3",
library_name = "Library",
year = "2017",
month = "Apr",
publisher = "Courier Dover Publications",
volume = "1",
size = "3708477 octets",
tags = "New, Logic, Set Theory, Mathematics",
timestamp = "2019-02-06",
uuid = "bbb06471-6d07-485f-b6b7-54e837302e37",
languages = "eng",
identifiers = "google:bWu9DgAAQBAJ,isbn:9780486821153" }
@book{ JohnStillwell459,
title = "Naive Lie Theory",
title_sort = "Naive Lie Theory",
author_sort = "Stillwell, John",
author = "John Stillwell",
note = "In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called {"}classical groups'' that capture the symmetries of real, complex, and quaternion spaces. These symmetry groups may be represented by matrices, which allows them to be studied by elementary methods from calculus and linear algebra. This naive approach to Lie theory is originally due to von Neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics. To compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of Lie theory and its history. John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including The Four Pillars of Geometry (2005), Elements of Number Theory (2003), Mathematics and Its History (Second Edition, 2002), Numbers and Geometry (1998) and Elements of Algebra (1994).
",
cover = "/home/zack/Dropbox/Library/John Stillwell/Naive Lie Theory (459)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/John Stillwell/Naive Lie Theory (459)/Naive Lie Theory - John Stillwell.pdf:PDF",
calibreid = "459",
isbn = "978-03-8778-215-7",
library_name = "Library",
year = "2008",
month = "Dec",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "1339597 octets",
tags = "Mathematics, Group Theory, Algebra, General",
timestamp = "2019-02-06",
uuid = "f27d395a-7aec-4db1-a027-0f9d6ac1d6d9",
languages = "eng",
identifiers = "google:SuR5OAgxyDIC,isbn:9780387782157" }
@misc{ JosephJ.Rotman462,
title = "Modern Algebra",
title_sort = "Modern Algebra",
author_sort = "Rotman, Joseph J.",
author = "Joseph J. Rotman",
cover = "/home/zack/Dropbox/Library/Joseph J. Rotman/Modern Algebra (462)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Joseph J. Rotman/Modern Algebra (462)/Modern Algebra - Joseph J. Rotman.pdf:PDF",
calibreid = "462",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "6156345 octets",
timestamp = "2019-02-06",
uuid = "90e9a8b8-8fcc-40f6-9243-4b0a0f39736f",
languages = "eng" }
@misc{ J.S.Milne463,
title = "Class Field Theory",
title_sort = "Class Field Theory",
author_sort = "Milne, J.S.",
author = "J.S. Milne",
cover = "/home/zack/Dropbox/Library/J.S. Milne/Class Field Theory (463)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/J.S. Milne/Class Field Theory (463)/Class Field Theory - J.S. Milne.pdf:PDF",
calibreid = "463",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "10171800 octets",
timestamp = "2019-02-06",
uuid = "f80105de-e97d-427a-873e-d32b88eb58db",
languages = "eng" }
@misc{ Kolmogorov465,
title = "Measures, Lebesgue Integrals, and Hilbert Space",
title_sort = "Measures, Lebesgue Integrals, and Hilbert Space",
author_sort = "Kolmogorov",
author = "Kolmogorov",
cover = "/home/zack/Dropbox/Library/Kolmogorov/Measures, Lebesgue Integrals, and Hilbert Space (465)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Kolmogorov/Measures, Lebesgue Integrals, and Hilbert Space (465)/Measures, Lebesgue Integrals, and Hilbert - Kolmogorov.pdf:PDF",
calibreid = "465",
library_name = "Library",
year = "100",
month = "Dec",
rating = "10",
volume = "1",
size = "4546130 octets",
timestamp = "2019-02-06",
uuid = "53c4a13e-47ee-4bc7-b5e4-440a9d536abc",
languages = "eng" }
@misc{ ReneSchilling466,
title = "Measures, Integrals, and Martingales",
title_sort = "Measures, Integrals, and Martingales",
author_sort = "Schilling, Rene",
author = "Rene Schilling",
cover = "/home/zack/Dropbox/Library/Rene Schilling/Measures, Integrals, and Martingales (466)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Rene Schilling/Measures, Integrals, and Martingales (466)/Measures, Integrals, and Martingales - Rene Schilling.pdf:PDF",
calibreid = "466",
library_name = "Library",
year = "2007",
month = "Nov",
rating = "10",
volume = "1",
size = "2707032 octets",
tags = "textbook, analysis, real analysis, probability",
timestamp = "2019-02-06",
uuid = "2f05d566-2305-4d5f-8b44-33591c4d00d1",
languages = "eng" }
@misc{ AndrewWiles467,
title = "Modular Elliptic Cuves and Fermat's Last Theorem",
title_sort = "Modular Elliptic Cuves and Fermat's Last Theorem",
author_sort = "Wiles, Andrew",
author = "Andrew Wiles",
cover = "/home/zack/Dropbox/Library/Andrew Wiles/Modular Elliptic Cuves and Fermat's Last Theorem (467)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Andrew Wiles/Modular Elliptic Cuves and Fermat's Last Theorem (467)/Modular Elliptic Cuves and Fermat's Last T - Andrew Wiles.pdf:PDF",
calibreid = "467",
library_name = "Library",
year = "2006",
month = "Apr",
volume = "1",
size = "12169395 octets",
tags = "textbook, notes, number theory",
timestamp = "2019-02-06",
uuid = "be197108-5756-42fc-8098-0d16adaa2f7f",
languages = "eng" }
@book{ JohnStillwell468,
title = "Mathematics and Its History",
title_sort = "Mathematics and Its History",
author_sort = "Stillwell, John",
author = "John Stillwell",
note = "From the reviews of the second edition:{"}This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here.{"}(David Parrott, Australian Mathematical Society){"}The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community.{"} (European Mathematical Society){"}Since Stillwell treats many topics, most mathematicians will learn a lot from this book as well as they will find pleasant and rather clear expositions of custom materials. The book is accessible to students that have already experienced calculus, algebra and geometry and will give them a good account of how the different branches of mathematics interact.{"}(Denis Bonheure, Bulletin of the Belgian Society)This third edition includes new chapters on simple groups and combinatorics, and new sections on several topics, including the Poincare conjecture. The book has also been enriched by added exercises.
",
cover = "/home/zack/Dropbox/Library/John Stillwell/Mathematics and Its History (468)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/John Stillwell/Mathematics and Its History (468)/Mathematics and Its History - John Stillwell.pdf:PDF",
calibreid = "468",
isbn = "978-14-4196-052-8",
library_name = "Library",
year = "2010",
month = "Aug",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "6480486 octets",
tags = "Calculus, number theory, ISBN-13: 9781441960528, Geometry, General, Mathematical Analysis, Springer Verlag GmbH, Mathematics, History \& Philosophy",
timestamp = "2019-02-06",
uuid = "903ae3f3-0ac7-4a65-a356-679913d8ad59",
languages = "eng",
identifiers = "google:V7mxZqjs5yUC,isbn:9781441960528" }
@book{ StevenGeorgeKrantz469,
title = "A Mathematician's Survival Guide: Graduate School and Early Career Development",
title_sort = "Mathematician's Survival Guide: Graduate School and Early Career Development, A",
author_sort = "Krantz, Steven George",
author = "Steven George Krantz",
note = "With graduate school, young mathematicians take the first step toward a career in mathematics. During this period, they make important decisions that will affect the rest of their careers. Here now is a detailed guide to help students navigate those years and the years that follow. In his inimitable and forthright style, Steven Krantz addresses the major issues of graduate school, including deciding where to go, passing the qualifying exams, finding an advisor, writing a thesis, and getting that first job. As with his earlier guide, How to Teach Mathematics, Krantz avoids generalities, giving clear advice on how to handle real situations. In addition, he includes a description of the basic elements of a mathematical education, as well as three appendices on the structure of a typical department and university and the standard academic ranks. Steven G. Krantz is an experienced mathematician and an award-winning author. He has worked in many different types of mathematics departments, supervised both masters and doctoral students, and is currently the Chair of the Mathematics Department at Washington University in St. Louis.Other AMS titles by Steven Krantz are A Primer of Mathematical Writing and Techniques of Problem Solving.
",
cover = "/home/zack/Dropbox/Library/Steven George Krantz/A Mathematician's Survival Guide\_ Graduate School and Early Career Development (469)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Steven George Krantz/A Mathematician's Survival Guide_ Graduate School and Early Career Development (469)/A Mathematician's Survival Guide_ Graduate - Steven George Krantz.pdf:PDF",
calibreid = "469",
isbn = "978-08-2183-455-8",
library_name = "Library",
year = "2003",
month = "Feb",
publisher = "American Mathematical Soc.",
volume = "1",
size = "1295510 octets",
tags = "New, Mathematics, General",
timestamp = "2019-02-06",
uuid = "75ae308e-5f59-4314-b2d6-f056570309c8",
languages = "eng",
identifiers = "isbn:9780821834558,amazon:082183455X,google:If9QBQAAQBAJ" }
@misc{ Madsen470,
title = "From Calculus to Cohomology - de Rham Cohomology and Characteristic Classes",
title_sort = "From Calculus to Cohomology - de Rham Cohomology and Characteristic Classes",
author_sort = "Madsen",
author = "Madsen",
cover = "/home/zack/Dropbox/Library/Madsen/From Calculus to Cohomology - de Rham Cohomology and Characteristic Classes (470)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Madsen/From Calculus to Cohomology - de Rham Cohomology and Characteristic Classes (470)/From Calculus to Cohomology - de Rham Coho - Madsen.pdf:PDF",
calibreid = "470",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "10229716 octets",
tags = "textbook, Topology",
timestamp = "2019-02-06",
uuid = "b6e3934c-f648-42b7-9c06-82d1e14bf7af",
languages = "eng" }
@book{ SheldonAxler471,
title = "Linear Algebra Done Right (Undergraduate Texts in Mathematics)",
title_sort = "Linear Algebra Done Right (Undergraduate Texts in Mathematics)",
author_sort = "Axler, Sheldon",
author = "Sheldon Axler",
note = "This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra.
The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions.
No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator.
From reviews of previous editions:
“… a didactic masterpiece”
— ** *Zentralblatt MATH***
“… a tour de force in the service of simplicity and clarity … The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library.”
— ** *CHOICE***
The determinant-free proofs are elegant and intuitive.
— ** *American Mathematical Monthly***
“Clarity through examples is emphasized … the text is ideal for class exercises … I congratulate the author and the publisher for a well-produced textbook on linear algebra.”
— ** *Mathematical Reviews*** **
**
\#\#\# Review
“This is the third edition of this well-known introduction to linear algebra. The main changes, apart from the usual improvements during a new edition, are the number of exercises which has more than doubled, new formatting including color printing, new sections on product spaces, quotient spaces, duality, and the chapter on ‘Operators on Real Vector Spaces’ … . if you liked the previous editions, you will like this new edition even better!” (G. Teschl, Monatshefte für Mathematik, 2016)
“This third edition, appearing eighteen years after the second edition, is a further polishing of the existing approach. This book was and still is an interesting and useful text for a second course in linear algebra, concentrating on proofs after the concepts and mechanics have been covered in a first course.” (Allen Stenger, MAA Reviews, maa.org, May, 2016)
AMERICAN MATHEMATICAL MONTHLY
{"}The determinant-free proofs are elegant and intuitive.{"}
CHOICE
{"}Every discipline of higher mathematics evinces the profound importance of linear algebra in some way, either for the power derived from its techniques or the inspiration offered by its concepts. Axler demotes determinants (usually quite a central technique in the finite dimensional setting, though marginal in infinite dimensions) to a minor role. To so consistently do without determinants constitutes a tour de forces in the service of simplicity and clarity; these are also well served by the general precision of Axler’s prose. Students with a view towards applied mathematics, analysis, or operator theory will be well served. The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library.{"}
ZENTRALBLATT MATH
{"}Altogether, the text is a didactic masterpiece.{"}
MATHEMATICAL REVIEWS
{"}Clarity through examples is emphasized … the text is ideal for class exercises … I congratulate the author and the publisher for a well-produced textbook on linear algebra.{"}
\#\#\# From the Back Cover
This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra.
The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions.
No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator.
",
cover = "/home/zack/Dropbox/Library/Sheldon Axler/Linear Algebra Done Right (Undergraduate Texts in Mathematics) (471)/cover.jpg",
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library_name = "Library",
year = "2014",
month = "Nov",
publisher = "Springer",
rating = "6",
volume = "1",
size = "1370989 octets",
tags = "Maths",
timestamp = "2019-02-06",
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identifiers = "amazon:B00PULZWPC" }
@book{ MaryL.Boas472,
title = "Mathematical Methods in the Physical Sciences",
title_sort = "Mathematical Methods in the Physical Sciences",
author_sort = "Boas, Mary L.",
author = "Mary L. Boas",
note = "Updates the original, comprehensive introduction to the areas of mathematical physics encountered in advanced courses in the physical sciences. Intuition and computational abilities are stressed. Original material on DE and multiple integrals has been expanded.
",
cover = "/home/zack/Dropbox/Library/Mary L. Boas/Mathematical Methods in the Physical Sciences (472)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Mary L. Boas/Mathematical Methods in the Physical Sciences (472)/Mathematical Methods in the Physical Scien - Mary L. Boas.pdf:PDF",
calibreid = "472",
isbn = "978-04-7104-409-3",
library_name = "Library",
year = "1983",
month = "Apr",
publisher = "Wiley",
volume = "1",
size = "33296004 octets",
tags = "Mathematical Physics, Mathematics, Physical Sciences, General, Science, physics, Mathematical \& Computational",
timestamp = "2019-02-06",
uuid = "f68a3863-267e-43cd-844c-b4c20a255ea1",
languages = "eng",
identifiers = "isbn:9780471044093,google:uI3uAAAAMAAJ" }
@book{ MingLi473,
title = "An Introduction to Kolmogorov Complexity and Its Applications",
title_sort = "Introduction to Kolmogorov Complexity and Its Applications, An",
author_sort = "Li, Ming \& Vitányi, Paul M. B.",
author = "Ming Li and Paul M. B. Vitányi",
note = "“The book is outstanding and admirable in many respects. ... is necessary reading for all kinds of readers from undergraduate students to top authorities in the field.” Journal of Symbolic Logic Written by two experts in the field, this is the only comprehensive and unified treatment of the central ideas and applications of Kolmogorov complexity. The book presents a thorough treatment of the subject with a wide range of illustrative applications. Such applications include the randomness of finite objects or infinite sequences, Martin-Loef tests for randomness, information theory, computational learning theory, the complexity of algorithms, and the thermodynamics of computing. It will be ideal for advanced undergraduate students, graduate students, and researchers in computer science, mathematics, cognitive sciences, philosophy, artificial intelligence, statistics, and physics. The book is self-contained in that it contains the basic requirements from mathematics and computer science. Included are also numerous problem sets, comments, source references, and hints to solutions of problems. New topics in this edition include Omega numbers, Kolmogorov–Loveland randomness, universal learning, communication complexity, Kolmogorov's random graphs, time-limited universal distribution, Shannon information and others.
",
cover = "/home/zack/Dropbox/Library/Ming Li/An Introduction to Kolmogorov Complexity and Its Applications (473)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Ming Li/An Introduction to Kolmogorov Complexity and Its Applications (473)/An Introduction to Kolmogorov Complexity a - Ming Li.pdf:PDF",
calibreid = "473",
isbn = "978-03-8749-820-1",
library_name = "Library",
year = "2009",
month = "Mar",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "108283069 octets",
tags = "Applied, Language Arts \& Disciplines, Numerical Analysis, Information Theory, Library \& Information Science, Probability \& Statistics, Optical Data Processing, Computers, Programming, analysis, General, Algorithms, textbook, Computer Vision \& Pattern Recognition, Mathematics, Computer Science",
timestamp = "2019-02-06",
uuid = "43d27a5c-c9ef-42b4-8e4f-a9fc55e0ab41",
languages = "eng",
identifiers = "google:25fue3UYDN0C,isbn:9780387498201" }
@misc{ JohnRognes474,
title = "Lecture Notes on Algebraic Topology II",
title_sort = "Lecture Notes on Algebraic Topology II",
author_sort = "Rognes, John",
author = "John Rognes",
cover = "/home/zack/Dropbox/Library/John Rognes/Lecture Notes on Algebraic Topology II (474)/cover.jpg",
formats = "pdf",
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calibreid = "474",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "652407 octets",
tags = "algebraic topology, Topology",
timestamp = "2019-02-06",
uuid = "5bb07e90-cd27-4d6b-863a-15941b140dde",
languages = "eng" }
@misc{ OttoForsterBruceGilligan475,
title = "Lectures on Riemann Surfaces",
title_sort = "Lectures on Riemann Surfaces",
author_sort = "Otto Forster, Bruce Gilligan",
author = "Otto Forster, Bruce Gilligan",
cover = "/home/zack/Dropbox/Library/Otto Forster, Bruce Gilligan/Lectures on Riemann Surfaces (475)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Otto Forster, Bruce Gilligan/Lectures on Riemann Surfaces (475)/Lectures on Riemann Surfaces - Otto Forster, Bruce Gilligan.pdf:PDF",
calibreid = "475",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "7326748 octets",
tags = "textbook, Topology, Geometry, twoside, Complex Analysis",
timestamp = "2019-02-06",
uuid = "811490d8-e3aa-4245-a9d4-526131fa03b1",
languages = "eng" }
@book{ WilliamDunham477,
title = "Journey Through Genius: The Great Theorems of Mathematics",
title_sort = "Journey Through Genius: The Great Theorems of Mathematics",
author_sort = "Dunham, William",
author = "William Dunham",
note = "A rare combination of the historical, biographical, and mathematicalgenius, this book is a fascinating introduction to a neglected field of human creativity. Dunham places mathematical theorem, along with masterpieces of art, music, and literature and gives them the attention they deserve.
",
cover = "/home/zack/Dropbox/Library/William Dunham/Journey Through Genius\_ The Great Theorems of Mathematics (477)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/William Dunham/Journey Through Genius_ The Great Theorems of Mathematics (477)/Journey Through Genius_ The Great Theorems - William Dunham.pdf:PDF",
calibreid = "477",
isbn = "978-01-4014-739-1",
library_name = "Library",
year = "1991",
month = "Aug",
publisher = "Penguin Books",
volume = "1",
size = "7682903 octets",
tags = "Mathematics, General, History \& Philosophy, Mathematical Analysis",
timestamp = "2019-02-06",
uuid = "d60ff61d-e15a-49ce-8f51-33cdb794e499",
languages = "eng",
identifiers = "isbn:9780140147391,google:\_IbWAAAAMAAJ" }
@book{ MichaelSpivak478,
title = "The Joy of TEX: A Gourmet Guide to Typesetting With the AMS-TEX Macro Package",
title_sort = "Joy of TEX: A Gourmet Guide to Typesetting With the AMS-TEX Macro Package, The",
author_sort = "Spivak, Michael \& Spivak",
author = "Michael Spivak and Spivak",
note = "The Joy of TeX is the user-friendly guide to AMSTeX, a software package based on the computer typesetting language TeX. AMSTeX was designed to simplify typesetting of mathematical quantities, equations, and displays, and to format the output according to any of various preset style specifications. This second edition of Joy reflects the changes introduced on Version 2.0 of the AMSTeX macro package. The first two parts of the manual, ``Starters'' and ``Main Courses'', teach the reader how to typeset the kind of text and mathematics one ordinarily encounters. ``Sauces and Pickles'', the third section, treats more exotic problems and includes a 60-page dictionary of special TeXniques. The manual also includes descriptions of conventions of mathematical typography to help the novice technical typist. Appendices list handy summaries of frequently used and more esoteric symbols. This manual is useful for technical typists as well as scientists who prepare their own manuscripts. For the novice, exercises sprinkled generously throughout each chapter encourage the reader to sit down at a terminal and learn through experimentation.
",
cover = "/home/zack/Dropbox/Library/Michael Spivak/The Joy of TEX\_ A Gourmet Guide to Typesetting With the AMS-TEX Macro Package (478)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Michael Spivak/The Joy of TEX_ A Gourmet Guide to Typesetting With the AMS-TEX Macro Package (478)/The Joy of TEX_ A Gourmet Guide to Typeset - Michael Spivak.pdf:PDF",
calibreid = "478",
isbn = "978-08-2182-997-4",
library_name = "Library",
year = "1990",
month = "Feb",
publisher = "American Mathematical Soc.",
volume = "1",
size = "12076118 octets",
tags = "Mathematics, textbook, General",
timestamp = "2019-02-06",
uuid = "ee05cdd7-5b3f-401f-9eb9-e259fc337618",
languages = "eng",
identifiers = "google:UgxjqoQgUncC,isbn:9780821829974" }
@misc{ ErwinKreyszig479,
title = "Introductory Functional Analysi",
title_sort = "Introductory Functional Analysi",
author_sort = "Kreyszig, Erwin",
author = "Erwin Kreyszig",
cover = "/home/zack/Dropbox/Library/Erwin Kreyszig/Introductory Functional Analysi (479)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Erwin Kreyszig/Introductory Functional Analysi (479)/Introductory Functional Analysi - Erwin Kreyszig.pdf:PDF",
calibreid = "479",
library_name = "Library",
year = "2008",
month = "Dec",
rating = "10",
volume = "1",
size = "11652687 octets",
timestamp = "2019-02-06",
uuid = "0ae6c524-0b8a-4148-909b-aa6a6c11d556",
languages = "eng" }
@book{ Kolmogorov480,
title = "Introductory Complex Analysis",
title_sort = "Introductory Complex Analysis",
author_sort = "Kolmogorov",
author = "Kolmogorov",
note = "Introductory Complex Analysis is a scaled-down version of A. I. Markushevich's masterly three-volume {"}Theory of Functions of a Complex Variable.{"} Dr. Richard Silverman, the editor and translator of the original, has prepared this shorter version expressly to meet the needs of a one-year graduate or undergraduate course in complex analysis. In his selection and adaptation of the more elementary topics from the original larger work, he was guided by a brief course prepared by Markushevich himself.
The book begins with fundamentals, with a definition of complex numbers, their geometric representation, their algebra, powers and roots of complex numbers, set theory as applied to complex analysis, and complex functions and sequences. The notions of proper and improper complex numbers and of infinity are fully and clearly explained, as is stereographic projection. Individual chapters then cover limits and continuity, differentiation of analytic functions, polynomials and rational functions, Mobius transformations with their circle-preserving property, exponentials and logarithms, complex integrals and the Cauchy theorem , complex series and uniform convergence, power series, Laurent series and singular points, the residue theorem and its implications, harmonic functions (a subject too often slighted in first courses in complex analysis), partial fraction expansions, conformal mapping, and analytic continuation.
Elementary functions are given a more detailed treatment than is usual for a book at this level. Also, there is an extended discussion of the Schwarz-Christolfel transformation, which is particularly important for applications.
There is a great abundance of worked-out examples, and over three hundred problems (some with hints and answers), making this an excellent textbook for classroom use as well as for independent study. A noteworthy feature is the fact that the parentage of this volume makes it possible for the student to pursue various advanced topics in more detail in the three-volume original, without the problem of having to adjust to a new terminology and notation .
In this way, *Introductory* *Complex Analysis* serves as an introduction not only to the whole field of complex analysis, but also to the magnum opus of an important contemporary Russian mathematician.
**
",
cover = "/home/zack/Dropbox/Library/Kolmogorov/Introductory Complex Analysis (480)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Kolmogorov/Introductory Complex Analysis (480)/Introductory Complex Analysis - Kolmogorov.pdf:PDF",
calibreid = "480",
isbn = "978-04-8664-686-2",
library_name = "Library",
year = "1984",
month = "May",
publisher = "Dover Publications",
rating = "8",
volume = "1",
size = "8920648 octets",
tags = "textbook, real analysis",
timestamp = "2019-02-06",
uuid = "fc65cfbb-f68e-4d1c-b932-e1a6cec32e83",
languages = "eng",
identifiers = "amazon:0486646866,isbn:9780486646862" }
@book{ ColinConradAdams481,
title = "Introduction to Topology: Pure and Applied",
title_sort = "Introduction to Topology: Pure and Applied",
author_sort = "Adams, Colin Conrad \& Franzosa, Robert David",
author = "Colin Conrad Adams and Robert David Franzosa",
note = "Learn the basics of point-set topology with the understanding of its real-world application to a variety of other subjects including science, economics, engineering, and other areas of mathematics. Introduces topology as an important and fascinating mathematics discipline to retain the readers interest in the subject. Is written in an accessible way for readers to understand the usefulness and importance of the application of topology to other fields. Introduces topology concepts combined with their real-world application to subjects such DNA, heart stimulation, population modeling, cosmology, and computer graphics. Covers topics including knot theory, degree theory, dynamical systems and chaos, graph theory, metric spaces, connectedness, and compactness. A useful reference for readers wanting an intuitive introduction to topology.
",
cover = "/home/zack/Dropbox/Library/Colin Conrad Adams/Introduction to Topology\_ Pure and Applied (481)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Colin Conrad Adams/Introduction to Topology_ Pure and Applied (481)/Introduction to Topology_ Pure and Applied - Colin Conrad Adams.pdf:PDF",
calibreid = "481",
isbn = "978-01-3184-869-6",
library_name = "Library",
year = "2008",
month = "Feb",
publisher = "Pearson Prentice Hall",
volume = "1",
size = "1935976 octets",
tags = "Mathematics, Topology",
timestamp = "2019-02-06",
uuid = "daee9318-41ed-473a-9aba-b7ca9849e472",
languages = "eng",
identifiers = "google:W1wnAQAAIAAJ,isbn:9780131848696" }
@book{ JohnLee482,
title = "Introduction to Smooth Manifolds",
title_sort = "Introduction to Smooth Manifolds",
author_sort = "Lee, John",
author = "John Lee",
note = "This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. The approach is as concrete as possible, with pictures and intuitive discussions of how one should think geometrically about the abstract concepts, while making full use of the powerful tools that modern mathematics has to offer.This second edition has been extensively revised and clarified, and the topics have been substantially rearranged. The book now introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, much earlier so that they can be used throughout the book. A few new topics have been added, notably Sard’s theorem and transversality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study of first-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds, and an introduction to contact structures.Prerequisites include a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis.
**
\#\#\# Review
From the reviews of the second edition:
“It starts off with five chapters covering basics on smooth manifolds up to submersions, immersions, embeddings, and of course submanifolds. … the book under review is laden with excellent exercises that significantly further the reader’s understanding of the material, and Lee takes great pains to motivate everything well all the way through … . a fine graduate-level text for differential geometers as well as people like me, fellow travelers who always wish they knew more about such a beautiful subject.” (Michael Berg, MAA Reviews, October, 2012)
\#\#\# From the Back Cover
This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research―smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. The approach is as concrete as possible, with pictures and intuitive discussions of how one should think geometrically about the abstract concepts, while making full use of the powerful tools that modern mathematics has to offer.
This second edition has been extensively revised and clarified, and the topics have been substantially rearranged. The book now introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, much earlier so that they can be used throughout the book. A few new topics have been added, notably Sard’s theorem and transversality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study of first-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds, and an introduction to contact structures.
Prerequisites include a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis.
",
cover = "/home/zack/Dropbox/Library/John Lee/Introduction to Smooth Manifolds (482)/cover.jpg",
calibreid = "482",
isbn = "978-14-4199-982-5",
library_name = "Library",
year = "2012",
month = "Aug",
publisher = "Springer",
rating = "8",
volume = "1",
size = "3541097 octets",
tags = "Geometry, Differential, textbook, differential topology, General, Mathematics, research, manifolds, Topology",
timestamp = "2019-02-06",
uuid = "6084ecf1-5a58-452c-97d0-b1e3faec1b3a",
languages = "eng",
identifiers = "google:xygVcKGPsNwC,amazon:B00DGEQEVQ,isbn:9781441999825" }
@book{ MichaelSipser483,
title = "Introduction to the Theory of Computation",
title_sort = "Introduction to the Theory of Computation",
author_sort = "Sipser, Michael",
author = "Michael Sipser",
note = "Now you can clearly present even the most complex computational theory topics to your students with Sipser's distinct, market-leading INTRODUCTION TO THE THEORY OF COMPUTATION, 3E. The number one choice for today's computational theory course, this highly anticipated revision retains the unmatched clarity and thorough coverage that make it a leading text for upper-level undergraduate and introductory graduate students. This edition continues author Michael Sipser's well-known, approachable style with timely revisions, additional exercises, and more memorable examples in key areas. A new first-of-its-kind theoretical treatment of deterministic context-free languages is ideal for a better understanding of parsing and LR(k) grammars. This edition's refined presentation ensures a trusted accuracy and clarity that make the challenging study of computational theory accessible and intuitive to students while maintaining the subject's rigor and formalism. Readers gain a solid understanding of the fundamental mathematical properties of computer hardware, software, and applications with a blend of practical and philosophical coverage and mathematical treatments, including advanced theorems and proofs. INTRODUCTION TO THE THEORY OF COMPUTATION, 3E's comprehensive coverage makes this an ideal ongoing reference tool for those studying theoretical computing.Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
",
cover = "/home/zack/Dropbox/Library/Michael Sipser/Introduction to the Theory of Computation (483)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Michael Sipser/Introduction to the Theory of Computation (483)/Introduction to the Theory of Computation - Michael Sipser.pdf:PDF",
calibreid = "483",
isbn = "978-12-8540-106-5",
library_name = "Library",
year = "2012",
month = "Jun",
publisher = "Cengage Learning",
volume = "1",
size = "4904243 octets",
tags = "Computers, Computer Science",
timestamp = "2019-02-06",
uuid = "36713fb6-a44b-4e11-8c79-4e9caa878b39",
languages = "eng",
identifiers = "isbn:9781285401065,google:1aMKAAAAQBAJ" }
@book{ SergeLang484,
title = "Algebra",
title_sort = "Algebra",
author_sort = "Lang, Serge",
author = "Serge Lang",
note = "{"}Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books.{"} NOTICES OF THE AMS {"}The author has an impressive knack for presenting the important and interesting ideas of algebra in just the right way, and he never gets bogged down in the dry formalism which pervades some parts of algebra.{"} MATHEMATICAL REVIEWS This book is intended as a basic text for a one-year course in algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text.
",
cover = "/home/zack/Dropbox/Library/Serge Lang/Algebra (484)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Serge Lang/Algebra (484)/Algebra - Serge Lang.pdf:PDF",
calibreid = "484",
isbn = "978-03-8795-385-4",
library_name = "Library",
year = "2005",
month = "Jun",
publisher = "Springer Science \& Business Media",
rating = "8",
volume = "1",
size = "15174559 octets",
tags = "Group Theory, Linear, Algebra, Abstract, textbook, General, Mathematics",
timestamp = "2019-02-06",
uuid = "0ab818a4-7345-47de-83bb-f3929c65ea01",
languages = "eng",
identifiers = "google:Fge-BwqhqIYC,amazon:038795385X,isbn:9780387953854" }
@misc{ Griffith485,
title = "Introduction to Quantum Mechanics",
title_sort = "Introduction to Quantum Mechanics",
author_sort = "Griffith",
author = "Griffith",
cover = "/home/zack/Dropbox/Library/Griffith/Introduction to Quantum Mechanics (485)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Griffith/Introduction to Quantum Mechanics (485)/Introduction to Quantum Mechanics - Griffith.pdf:PDF",
calibreid = "485",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "13588644 octets",
timestamp = "2019-02-06",
uuid = "b922c75d-3aaa-4291-9c13-b4cbf1f4505c",
languages = "eng" }
@book{ PeterJ.Eccles486,
title = "An Introduction to Mathematical Reasoning: Numbers, Sets and Functions",
title_sort = "Introduction to Mathematical Reasoning: Numbers, Sets and Functions, An",
author_sort = "Eccles, Peter J.",
author = "Peter J. Eccles",
note = "This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.
",
cover = "/home/zack/Dropbox/Library/Peter J. Eccles/An Introduction to Mathematical Reasoning\_ Numbers, Sets and Functions (486)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Peter J. Eccles/An Introduction to Mathematical Reasoning_ Numbers, Sets and Functions (486)/An Introduction to Mathematical Reasoning_ - Peter J. Eccles.pdf:PDF",
calibreid = "486",
isbn = "978-05-2159-718-0",
library_name = "Library",
year = "1997",
month = "Dec",
publisher = "Cambridge University Press",
rating = "8",
volume = "1",
size = "8008930 octets",
tags = "Mathematics, History \& Philosophy, Logic, Number Systems",
timestamp = "2019-02-06",
uuid = "ea332f89-b2cc-4e03-97a5-c094adf4d3b4",
languages = "eng",
identifiers = "isbn:9780521597180,google:ImCSX\_gm40oC" }
@misc{ Mehrdad487,
title = "Introduction to Numerical Analysis",
title_sort = "Introduction to Numerical Analysis",
author_sort = "Mehrdad",
author = "Mehrdad",
cover = "/home/zack/Dropbox/Library/Mehrdad/Introduction to Numerical Analysis (487)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Mehrdad/Introduction to Numerical Analysis (487)/Introduction to Numerical Analysis - Mehrdad.pdf:PDF",
calibreid = "487",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "26321330 octets",
timestamp = "2019-02-06",
uuid = "21caefe3-cd03-4b4d-a39b-d034fc5f7f38",
languages = "eng" }
@book{ SergeLang488,
title = "Introduction to Linear Algebra",
title_sort = "Introduction to Linear Algebra",
author_sort = "Lang, Serge",
author = "Serge Lang",
note = "This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, while others are conceptual.
",
cover = "/home/zack/Dropbox/Library/Serge Lang/Introduction to Linear Algebra (488)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Serge Lang/Introduction to Linear Algebra (488)/Introduction to Linear Algebra - Serge Lang.pdf:PDF",
calibreid = "488",
isbn = "978-14-6121-070-2",
library_name = "Library",
year = "2012",
month = "Dec",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "15699425 octets",
tags = "Mathematics, Algebra, Linear, General",
timestamp = "2019-02-06",
uuid = "0b87820a-ba51-4ecc-b3fd-837d7c3a8350",
languages = "eng",
identifiers = "isbn:9781461210702,google:c\_NEBAAAQBAJ" }
@book{ CharlesA.Weibel489,
title = "An Introduction to Homological Algebra",
title_sort = "Introduction to Homological Algebra, An",
author_sort = "Weibel, Charles A.",
author = "Charles A. Weibel",
note = "The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras are also described. This book is suitable for second or third year graduate students. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. By making these tools more accessible, the book helps to break down the technological barrier between experts and casual users of homological algebra.
",
cover = "/home/zack/Dropbox/Library/Charles A. Weibel/An Introduction to Homological Algebra (489)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Charles A. Weibel/An Introduction to Homological Algebra (489)/An Introduction to Homological Algebra - Charles A. Weibel.pdf:PDF",
calibreid = "489",
isbn = "978-11-3964-307-8",
library_name = "Library",
year = "1995",
month = "Oct",
publisher = "Cambridge University Press",
rating = "10",
volume = "1",
size = "16769300 octets",
tags = "Mathematics, Algebra, General, textbook",
timestamp = "2019-02-06",
uuid = "655b9fb0-2e21-4a86-81f6-9cc059903351",
languages = "eng",
identifiers = "google:UtIhAwAAQBAJ,isbn:9781139643078" }
@book{ YitzhakKatznelson490,
title = "An Introduction to Harmonic Analysis",
title_sort = "Introduction to Harmonic Analysis, An",
author_sort = "Katznelson, Yitzhak",
author = "Yitzhak Katznelson",
note = "First published in 1968, An Introduction to Harmonic Analysis has firmly established itself as a classic text and a favorite for students and experts alike. Professor Katznelson starts the book with an exposition of classical Fourier series. The aim is to demonstrate the central ideas of harmonic analysis in a concrete setting, and to provide a stock of examples to foster a clear understanding of the theory. Once these ideas are established, the author goes on to show that the scope of harmonic analysis extends far beyond the setting of the circle group, and he opens the door to other contexts by considering Fourier transforms on the real line as well as a brief look at Fourier analysis on locally compact abelian groups. This new edition has been revised by the author, to include several new sections and a new appendix.
",
cover = "/home/zack/Dropbox/Library/Yitzhak Katznelson/An Introduction to Harmonic Analysis (490)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Yitzhak Katznelson/An Introduction to Harmonic Analysis (490)/An Introduction to Harmonic Analysis - Yitzhak Katznelson.pdf:PDF",
calibreid = "490",
isbn = "978-05-2154-359-0",
library_name = "Library",
year = "2004",
month = "Feb",
publisher = "Cambridge University Press",
volume = "1",
size = "1499813 octets",
tags = "Calculus, Discrete Mathematics, functional analysis",
timestamp = "2019-02-06",
uuid = "2d95ba69-d645-421a-807c-963b55723ddf",
languages = "eng",
identifiers = "isbn:9780521543590,google:gkpUE\_m5vvsC" }
@book{ JohnMilnor491,
title = "Introduction to Algebraic K-Theory. (AM-72)",
title_sort = "Introduction to Algebraic K-Theory. (AM-72)",
author_sort = "Milnor, John",
author = "John Milnor",
note = "Algebraic K-theory describes a branch of algebra that centers about two functors. K0 and K1, which assign to each associative ring ∧ an abelian group K0∧ or K1∧ respectively. Professor Milnor sets out, in the present work, to define and study an analogous functor K2, also from associative rings to abelian groups. Just as functors K0 and K1 are important to geometric topologists, K2 is now considered to have similar topological applications. The exposition includes, besides K-theory, a considerable amount of related arithmetic.
",
cover = "/home/zack/Dropbox/Library/John Milnor/Introduction to Algebraic K-Theory. (AM-72) (491)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/John Milnor/Introduction to Algebraic K-Theory. (AM-72) (491)/Introduction to Algebraic K-Theory. (AM-72 - John Milnor.pdf:PDF",
calibreid = "491",
isbn = "978-14-0088-179-6",
library_name = "Library",
year = "2016",
month = "Mar",
publisher = "Princeton University Press",
volume = "1",
size = "7616364 octets",
tags = "Mathematics, Algebra, General, Topology",
timestamp = "2019-02-06",
uuid = "b1aca78e-0822-4848-8c5b-38de8fb20bfa",
languages = "eng",
identifiers = "google:Bq\_SCwAAQBAJ,isbn:9781400881796" }
@misc{ DavidEisenbud492,
title = "Intersection Theory in Algebraic Geometry",
title_sort = "Intersection Theory in Algebraic Geometry",
author_sort = "Eisenbud, David",
author = "David Eisenbud",
cover = "/home/zack/Dropbox/Library/David Eisenbud/Intersection Theory in Algebraic Geometry (492)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/David Eisenbud/Intersection Theory in Algebraic Geometry (492)/Intersection Theory in Algebraic Geometry - David Eisenbud.pdf:PDF",
calibreid = "492",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "3980248 octets",
tags = "textbook, algebraic geometry",
timestamp = "2019-02-06",
uuid = "fa2543f2-c8b1-4639-b7e4-dfd1cdafeb86",
languages = "eng" }
@book{ ThomasH.Cormen493,
title = "Introduction to Algorithms",
title_sort = "Introduction to Algorithms",
author_sort = "Cormen, Thomas H.",
author = "Thomas H. Cormen",
note = "The latest edition of the essential text and professional reference, with substantial new material on such topics as vEB trees, multithreaded algorithms, dynamic programming, and edge-based flow.Some books on algorithms are rigorous but incomplete; others cover masses of material but lack rigor. Introduction to Algorithms uniquely combines rigor and comprehensiveness. The book covers a broad range of algorithms in depth, yet makes their design and analysis accessible to all levels of readers. Each chapter is relatively self-contained and can be used as a unit of study. The algorithms are described in English and in a pseudocode designed to be readable by anyone who has done a little programming. The explanations have been kept elementary without sacrificing depth of coverage or mathematical rigor.The first edition became a widely used text in universities worldwide as well as the standard reference for professionals. The second edition featured new chapters on the role of algorithms, probabilistic analysis and randomized algorithms, and linear programming. The third edition has been revised and updated throughout. It includes two completely new chapters, on van Emde Boas trees and multithreaded algorithms, substantial additions to the chapter on recurrence (now called “Divide-and-Conquer”), and an appendix on matrices. It features improved treatment of dynamic programming and greedy algorithms and a new notion of edge-based flow in the material on flow networks. Many exercises and problems have been added for this edition. The international paperback edition is no longer available; the hardcover is available worldwide.
",
cover = "/home/zack/Dropbox/Library/Thomas H. Cormen/Introduction to Algorithms (493)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Thomas H. Cormen/Introduction to Algorithms (493)/Introduction to Algorithms - Thomas H. Cormen.pdf:PDF",
calibreid = "493",
isbn = "978-02-6203-384-8",
library_name = "Library",
year = "2009",
month = "Jul",
publisher = "MIT Press",
volume = "1",
size = "26346184 octets",
tags = "Computers, General, Programming, Algorithms, Reference",
timestamp = "2019-02-06",
uuid = "298c94fe-6633-4d07-b016-21fd9f3ddd6b",
languages = "eng",
identifiers = "isbn:9780262033848,google:i-bUBQAAQBAJ" }
@book{ JohnFrankAdams494,
title = "Infinite Loop Spaces",
title_sort = "Infinite Loop Spaces",
author_sort = "Adams, John Frank",
author = "John Frank Adams",
note = "The theory of infinite loop spaces has been the center of much recent activity in algebraic topology. Frank Adams surveys this extensive work for researchers and students. Among the major topics covered are generalized cohomology theories and spectra; infinite-loop space machines in the sense of Boadman-Vogt, May, and Segal; localization and group completion; the transfer; the Adams conjecture and several proofs of it; and the recent theories of Adams and Priddy and of Madsen, Snaith, and Tornehave.
**
",
cover = "/home/zack/Dropbox/Library/John Frank Adams/Infinite Loop Spaces (494)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/John Frank Adams/Infinite Loop Spaces (494)/Infinite Loop Spaces - John Frank Adams.pdf:PDF",
calibreid = "494",
isbn = "978-06-9108-206-6",
library_name = "Library",
year = "1978",
month = "Feb",
publisher = "Princeton University Press",
volume = "1",
size = "649548 octets",
tags = "Geometry, Mathematics, General, Topology",
timestamp = "2019-02-06",
uuid = "066396ca-30c7-4949-80b2-4612be171c6c",
languages = "eng",
identifiers = "amazon:0691082065,google:e2rYkg9lGnsC,isbn:9780691082066" }
@misc{ DavidACox495,
title = "Ideals, Varieties, and Algorithms",
title_sort = "Ideals, Varieties, and Algorithms",
author_sort = "Cox, David A",
author = "David A Cox",
cover = "/home/zack/Dropbox/Library/David A Cox/Ideals, Varieties, and Algorithms (495)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/David A Cox/Ideals, Varieties, and Algorithms (495)/Ideals, Varieties, and Algorithms - David A Cox.pdf:PDF",
calibreid = "495",
library_name = "Library",
year = "2007",
month = "Sep",
volume = "1",
size = "3771078 octets",
timestamp = "2019-02-06",
uuid = "f06890d3-e49b-4282-a377-250f00df3113",
languages = "eng" }
@misc{ CarolineSeries496,
title = "Hyperbolic Geometry",
title_sort = "Hyperbolic Geometry",
author_sort = "Series, Caroline",
author = "Caroline Series",
cover = "/home/zack/Dropbox/Library/Caroline Series/Hyperbolic Geometry (496)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Caroline Series/Hyperbolic Geometry (496)/Hyperbolic Geometry - Caroline Series.pdf:PDF",
calibreid = "496",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "1156700 octets",
tags = "lecture notes, Geometry, hyperbolic geometry",
timestamp = "2019-02-06",
uuid = "8df407e5-06ab-4598-8d41-ae9f7f2316bb",
languages = "eng" }
@book{ DanielHuybrechts497,
title = "Complex Geometry: An Introduction",
title_sort = "Complex Geometry: An Introduction",
author_sort = "Huybrechts, Daniel",
author = "Daniel Huybrechts",
note = "Complex geometry studies (compact) complex manifolds. It discusses algebraic as well as metric aspects. The subject is on the crossroad of algebraic and differential geometry. Recent developments in string theory have made it an highly attractive area, both for mathematicians and theoretical physicists. The author’s goal is to provide an easily accessible introduction to the subject. The book contains detailed accounts of the basic concepts and the many exercises illustrate the theory. Appendices to various chapters allow an outlook to recent research directions. Daniel Huybrechts is currently Professor of Mathematics at the University Denis Diderot in Paris.
",
cover = "/home/zack/Dropbox/Library/Daniel Huybrechts/Complex Geometry\_ An Introduction (497)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Daniel Huybrechts/Complex Geometry_ An Introduction (497)/Complex Geometry_ An Introduction - Daniel Huybrechts.pdf:PDF",
calibreid = "497",
isbn = "978-35-4026-687-7",
library_name = "Library",
year = "2006",
month = "Mar",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "15553076 octets",
tags = "Geometry, Complex Analysis, Algebra, textbook, Mathematical Analysis, Algebraic, Mathematics, General",
timestamp = "2019-02-06",
uuid = "8ecd904b-dc23-4ed8-8657-bfb057ce2e1c",
languages = "eng",
identifiers = "google:eZPCfJlHkXMC,isbn:9783540266877" }
@book{ S.I.Gelfand498,
title = "Homological Algebra",
title_sort = "Homological Algebra",
author_sort = "Gelfand, S. I. \& Manin, Yu.i.",
author = "S. I. Gelfand and Yu.i. Manin",
note = "This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the terminology and ideas of derived categories and derived functors. The book contains applications of homological algebra to the theory of sheaves on topological spaces, to Hodge theory, and to the theory of modules over rings of algebraic differential operators (algebraic D-modules). The authors Gelfand and Manin explain all the main ideas of the theory of derived categories. Both authors are well-known researchers and the second, Manin, is famous for his work in algebraic geometry and mathematical physics. The book is an excellent reference for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geometry and algebraic topology.
",
cover = "/home/zack/Dropbox/Library/S. I. Gelfand/Homological Algebra (498)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/S. I. Gelfand/Homological Algebra (498)/Homological Algebra - S. I. Gelfand.pdf:PDF",
calibreid = "498",
isbn = "978-35-4053-373-3",
library_name = "Library",
year = "1994",
month = "Mar",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "9684848 octets",
tags = "Mathematics, Algebra, Abstract, Geometry, Algebraic, Topology, General",
timestamp = "2019-02-06",
uuid = "7ac93983-e087-4123-96fd-d76145e17244",
languages = "eng",
identifiers = "isbn:9783540533733,google:ZXhsasm5G9oC" }
@book{ JayceGetz500,
title = "Hilbert Modular Forms With Coefficients in Intersection Homology and Quadratic Base Change",
title_sort = "Hilbert Modular Forms With Coefficients in Intersection Homology and Quadratic Base Change",
author_sort = "Getz, Jayce \& Goresky, Mark",
author = "Jayce Getz and Mark Goresky",
note = "In the 1970s Hirzebruch and Zagier produced elliptic modular forms with coefficients in the homology of a Hilbert modular surface. They then computed the Fourier coefficients of these forms in terms of period integrals and L-functions. In this book the authors take an alternate approach to these theorems and generalize them to the setting of Hilbert modular varieties of arbitrary dimension. The approach is conceptual and uses tools that were not available to Hirzebruch and Zagier, including intersection homology theory, properties of modular cycles, and base change. Automorphic vector bundles, Hecke operators and Fourier coefficients of modular forms are presented both in the classical and adèlic settings. The book should provide a foundation for approaching similar questions for other locally symmetric spaces.
",
cover = "/home/zack/Dropbox/Library/Jayce Getz/Hilbert Modular Forms With Coefficients in Intersection Homology and Quadratic Base Change (500)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Jayce Getz/Hilbert Modular Forms With Coefficients in Intersection Homology and Quadratic Base Change (500)/Hilbert Modular Forms With Coefficients in - Jayce Getz.pdf:PDF",
calibreid = "500",
isbn = "978-30-3480-351-9",
library_name = "Library",
year = "2012",
month = "Mar",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "8424640 octets",
tags = "Algebraic, Geometry, notes, number theory, Mathematics, Probability \& Statistics, Stochastic Processes, Topology",
timestamp = "2019-02-06",
uuid = "b8112bd9-031f-4aef-8bc3-12273dd4273a",
languages = "eng",
identifiers = "isbn:9783034803519,google:dNRnMM\_OshkC" }
@misc{ EugeniaCheng501,
title = "Higher-Dimensional Categories",
title_sort = "Higher-Dimensional Categories",
author_sort = "Cheng, Eugenia",
author = "Eugenia Cheng",
cover = "/home/zack/Dropbox/Library/Eugenia Cheng/Higher-Dimensional Categories (501)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Eugenia Cheng/Higher-Dimensional Categories (501)/Higher-Dimensional Categories - Eugenia Cheng.pdf:PDF",
calibreid = "501",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "1960938 octets",
tags = "prototextbook, category theory",
timestamp = "2019-02-06",
uuid = "56ee94e3-fb3d-4695-9437-2b029d4a33a4",
languages = "eng" }
@misc{ Notes502,
title = "Harvard-55a",
title_sort = "Harvard-55a",
author_sort = "Notes",
author = "Notes",
cover = "/home/zack/Dropbox/Library/Notes/Harvard-55a (502)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Notes/Harvard-55a (502)/Harvard-55a - Notes.pdf:PDF",
calibreid = "502",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "791304 octets",
tags = "New",
timestamp = "2019-02-06",
uuid = "e88c33a7-2b5c-4922-8ead-43be6992cf40",
languages = "eng" }
@book{ TrevorHastie503,
title = "The Elements of Statistical Learning: Data Mining, Inference, and Prediction",
title_sort = "Elements of Statistical Learning: Data Mining, Inference, and Prediction, The",
author_sort = "Hastie, Trevor \& Tibshirani, Robert \& Friedman, Jerome",
author = "Trevor Hastie and Robert Tibshirani and Jerome Friedman",
note = "During the past decade there has been an explosion in computation and information technology. With it have come vast amounts of data in a variety of fields such as medicine, biology, finance, and marketing. The challenge of understanding these data has led to the development of new tools in the field of statistics, and spawned new areas such as data mining, machine learning, and bioinformatics. Many of these tools have common underpinnings but are often expressed with different terminology. This book describes the important ideas in these areas in a common conceptual framework. While the approach is statistical, the emphasis is on concepts rather than mathematics. Many examples are given, with a liberal use of color graphics. It is a valuable resource for statisticians and anyone interested in data mining in science or industry. The book's coverage is broad, from supervised learning (prediction) to unsupervised learning. The many topics include neural networks, support vector machines, classification trees and boosting---the first comprehensive treatment of this topic in any book. This major new edition features many topics not covered in the original, including graphical models, random forests, ensemble methods, least angle regression \& path algorithms for the lasso, non-negative matrix factorization, and spectral clustering. There is also a chapter on methods for ``wide'' data (p bigger than n), including multiple testing and false discovery rates. Trevor Hastie, Robert Tibshirani, and Jerome Friedman are professors of statistics at Stanford University. They are prominent researchers in this area: Hastie and Tibshirani developed generalized additive models and wrote a popular book of that title. Hastie co-developed much of the statistical modeling software and environment in R/S-PLUS and invented principal curves and surfaces. Tibshirani proposed the lasso and is co-author of the very successful An Introduction to the Bootstrap. Friedman is the co-inventor of many data-mining tools including CART, MARS, projection pursuit and gradient boosting.
",
cover = "/home/zack/Dropbox/Library/Trevor Hastie/The Elements of Statistical Learning\_ Data Mining, Inference, and Prediction (503)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Trevor Hastie/The Elements of Statistical Learning_ Data Mining, Inference, and Prediction (503)/The Elements of Statistical Learning_ Data - Trevor Hastie.pdf:PDF",
calibreid = "503",
isbn = "978-03-8721-606-5",
library_name = "Library",
year = "2013",
month = "Nov",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "13038254 octets",
tags = "Life Sciences, Discrete Mathematics, Biology, Probability \& Statistics, Science, data science, Computers, Mathematical \& Statistical Software, textbook, General, Stochastic Processes, Databases, Intelligence (AI) \& Semantics, Mathematics",
timestamp = "2019-02-06",
uuid = "8f8375f1-933f-44e8-8070-772ca967d272",
languages = "eng",
identifiers = "isbn:9780387216065,google:yPfZBwAAQBAJ" }
@misc{ EckhardMeinrenken504,
title = "Group Actions on Manifolds",
title_sort = "Group Actions on Manifolds",
author_sort = "Meinrenken, Eckhard",
author = "Eckhard Meinrenken",
cover = "/home/zack/Dropbox/Library/Eckhard Meinrenken/Group Actions on Manifolds (504)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Eckhard Meinrenken/Group Actions on Manifolds (504)/Group Actions on Manifolds - Eckhard Meinrenken.pdf:PDF",
calibreid = "504",
library_name = "Library",
year = "2011",
month = "May",
volume = "1",
size = "576449 octets",
tags = "notes, Topology",
timestamp = "2019-02-06",
uuid = "4b55d198-ba2d-4365-841e-fab9843d9f4b",
languages = "eng" }
@book{ CharlesM.Grinstead505,
title = "Grinstead and Snell's Introduction to Probability",
title_sort = "Grinstead and Snell's Introduction to Probability",
author_sort = "Grinstead, Charles M. \& Snell, J. Laurie",
author = "Charles M. Grinstead and J. Laurie Snell",
note = "This is an introductory probability textbook, published by the American Mathematical Society. It is designed for an introductory probability course taken by mathematics, the physical and social sciences, engineering, and computer science students. The text can be used in a variety of course lengths, levels, and areas of emphasis. For use in a standard one-term course, in which both discrete and continuous probability is covered, students should have taken as a prerequisite two terms of calculus, including an introduction to multiple integrals. In order to cover Chapter 11, which contains material on Markov chains, some knowledge of matrix theory is necessary. The text can also be used in a discrete probability course. For use in a discrete probability course, students should have taken one term of calculus as a prerequisite. All of the computer programs that are used in the text have been written in each of the languages TrueBASIC, Maple, and Mathematica. Contents: 1) Discrete Probability Distributions. 2) Continuous Probability Densities. 3) Combinatorics. 4) Conditional Probability. 5) Distributions and Densities. 6) Expected Value and Variance. 7) Sums of Random Variables. 8) Law of Large Numbers. 9) Central Limit Theorem. 10) Generating Functions. 11) Markov Chains. 12) Random Walks. The text is best used in conjunction with software and exercises available online at http: //www.dartmouth.edu/ chance/teaching\_aids/books\_articles/probability\_book/book.htm
",
cover = "/home/zack/Dropbox/Library/Charles M. Grinstead/Grinstead and Snell's Introduction to Probability (505)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Charles M. Grinstead/Grinstead and Snell's Introduction to Probability (505)/Grinstead and Snell's Introduction to Prob - Charles M. Grinstead.pdf:PDF",
calibreid = "505",
isbn = "978-16-1610-046-9",
library_name = "Library",
year = "2009",
month = "Sep",
publisher = "University Press of Florida",
volume = "1",
size = "3858576 octets",
tags = "Mathematics, Probability \& Statistics, General",
timestamp = "2019-02-06",
uuid = "95e25aaf-0dfa-4477-9870-4d2790efbc68",
languages = "eng",
identifiers = "isbn:9781616100469,google:cE6FRAAACAAJ" }
@book{ FrancisBorceux507,
title = "Handbook of Categorical Algebra: Volume 3, Sheaf Theory",
title_sort = "Handbook of Categorical Algebra: Volume 3, Sheaf Theory",
author_sort = "Borceux, Francis",
author = "Francis Borceux",
note = "The Handbook of Categorical Algebra is intended to give, in three volumes, a rather detailed account of what, ideally, everybody working in category theory should know, whatever the specific topic of research they have chosen. The book is planned also to serve as a reference book for both specialists in the field and all those using category theory as a tool. Volume 3 begins with the essential aspects of the theory of locales, proceeding to a study in chapter 2 of the sheaves on a locale and on a topological space, in their various equivalent presentations: functors, etale maps or W-sets. Next, this situation is generalized to the case of sheaves on a site and the corresponding notion of Grothendieck topos is introduced. Chapter 4 relates the theory of Grothendieck toposes with that of accessible categories and sketches, by proving the existence of a classifying topos for all coherent theories.
",
cover = "/home/zack/Dropbox/Library/Francis Borceux/Handbook of Categorical Algebra\_ Volume 3, Sheaf Theory (507)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Francis Borceux/Handbook of Categorical Algebra_ Volume 3, Sheaf Theory (507)/Handbook of Categorical Algebra_ Volume 3, - Francis Borceux.pdf:PDF",
calibreid = "507",
isbn = "978-05-2144-180-3",
library_name = "Library",
year = "1994",
month = "Dec",
publisher = "Cambridge University Press",
volume = "1",
size = "22761169 octets",
tags = "Mathematics, History \& Philosophy, Logic",
timestamp = "2019-02-06",
uuid = "badeb7c1-134d-4c53-8a94-e5629c2043b3",
languages = "eng",
identifiers = "isbn:9780521441803,google:7jgots78faUC" }
@book{ NormanBiggs508,
title = "Graph Theory",
title_sort = "Graph Theory",
author_sort = "Biggs, Norman \& Lloyd, E. Keith \& Wilson, Robin J.",
author = "Norman Biggs and E. Keith Lloyd and Robin J. Wilson",
note = "First published in 1976, this book has been widely acclaimed both for its significant contribution to the history of mathematics and for the way that it brings the subject alive. Building on a set of original writings from some of the founders of graph theory, the book traces the historical development of the subject through a linking commentary. The relevant underlying mathematics is also explained, providing an original introduction to the subject for students. From reviews: 'The book...serves as an excellent examplein fact, as a modelof a new approach to one aspect of mathematics, when mathematics is considered as a living, vital and developing tradition.' (Edward A. Maziark in Isis) 'Biggs, Lloyd and Wilson's unusual and remarkable book traces the evolution and development of graph theory...Conceived in a very original manner and obviously written with devotion and a very great amount of painstaking historical research, it contains an exceptionally fine collection of source material, and to a graph theorist it is a treasure chest of fascinating historical information and curiosities with rich food for thought.'(Gabriel Dirac in Centaurus) 'The lucidity, grace and wit of the writing makes this book a pleasure to read and re-read.' (S. H. Hollingdale in Bulletin of the Institute of Mathematics and its Applications)
",
cover = "/home/zack/Dropbox/Library/Norman Biggs/Graph Theory (508)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Norman Biggs/Graph Theory (508)/Graph Theory - Norman Biggs.pdf:PDF",
calibreid = "508",
isbn = "978-01-9853-916-2",
library_name = "Library",
year = "1986",
month = "Feb",
publisher = "Clarendon Press",
rating = "8",
volume = "1",
size = "28733270 octets",
tags = "Mathematics, History \& Philosophy, combinatorics",
timestamp = "2019-02-06",
uuid = "68c0a2e3-8ef8-4599-92b7-3f5bb256eb51",
languages = "eng",
identifiers = "isbn:9780198539162,google:XqYTk0sXmpoC" }
@misc{ GoodeAnnin509,
title = "Goode Solution Manual",
title_sort = "Goode Solution Manual",
author_sort = "Goode, Annin",
author = "Goode, Annin",
cover = "/home/zack/Dropbox/Library/Goode, Annin/Goode Solution Manual (509)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Goode, Annin/Goode Solution Manual (509)/Goode Solution Manual - Goode, Annin.pdf:PDF",
calibreid = "509",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "4212800 octets",
timestamp = "2019-02-06",
uuid = "ed190fd3-7f8e-4658-972b-8b2c403b59a9",
languages = "eng" }
@misc{ BruceE.Sagan510,
title = "The Symmetric Group: Representations",
title_sort = "Symmetric Group: Representations, The",
author_sort = "Sagan, Bruce E.",
author = "Bruce E. Sagan",
cover = "/home/zack/Dropbox/Library/Bruce E. Sagan/The Symmetric Group\_ Representations (510)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Bruce E. Sagan/The Symmetric Group_ Representations (510)/The Symmetric Group_ Representations - Bruce E. Sagan.pdf:PDF",
calibreid = "510",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "16285436 octets",
timestamp = "2019-02-06",
uuid = "e404d9d3-f5ae-495f-80a3-2245633f4168",
languages = "eng" }
@book{ MarcelBerger511,
title = "Geometry II",
title_sort = "Geometry II",
author_sort = "Berger, Marcel",
author = "Marcel Berger",
note = "This is the second of a two-volume textbook that provides a very readable and lively presentation of large parts of geometry in the classical sense. For each topic the author presents a theorem that is esthetically pleasing and easily stated, although the proof may be quite hard and concealed. Yet another strong trait of the book is that it provides a comprehensive and unified reference source for the field of geometry in the full breadth of its subfields and ramifications.
**
",
cover = "/home/zack/Dropbox/Library/Marcel Berger/Geometry II (511)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Marcel Berger/Geometry II (511)/Geometry II - Marcel Berger.pdf:PDF",
calibreid = "511",
isbn = "978-35-4017-015-0",
library_name = "Library",
year = "2009",
month = "Jan",
publisher = "Springer",
volume = "1",
size = "20145709 octets",
tags = "Geometry, Mathematics, General, textbook",
timestamp = "2019-02-06",
uuid = "c2617ed9-a2a9-4000-aef5-269519b0462c",
languages = "eng",
identifiers = "isbn:9783540170150,google:iER421ZjkqcC,amazon:3540170154" }
@misc{ JeanGallier512,
title = "A Gentle Introduction to Homology, Cohomology, and Sheaf Cohomology",
title_sort = "Gentle Introduction to Homology, Cohomology, and Sheaf Cohomology, A",
author_sort = "Gallier, Jean",
author = "Jean Gallier",
cover = "/home/zack/Dropbox/Library/Jean Gallier/A Gentle Introduction to Homology, Cohomology, and Sheaf Cohomology (512)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Jean Gallier/A Gentle Introduction to Homology, Cohomology, and Sheaf Cohomology (512)/A Gentle Introduction to Homology, Cohomol - Jean Gallier.pdf:PDF",
calibreid = "512",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "4871724 octets",
tags = "lecture notes, algebraic geometry",
timestamp = "2019-02-06",
uuid = "095fdf5d-e731-47f4-bbc6-4360d7d99b8e",
languages = "eng" }
@book{ WilliamP.Thurston513,
title = "The Geometry and Topology of 3-Manifolds",
title_sort = "Geometry and Topology of 3-Manifolds, The",
author_sort = "Thurston, William P.",
author = "William P. Thurston",
cover = "/home/zack/Dropbox/Library/William P. Thurston/The Geometry and Topology of 3-Manifolds (513)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/William P. Thurston/The Geometry and Topology of 3-Manifolds (513)/The Geometry and Topology of 3-Manifolds - William P. Thurston.pdf:PDF",
calibreid = "513",
library_name = "Library",
year = "1979",
month = "Feb",
publisher = "Département de mathematiques",
volume = "1",
size = "44529299 octets",
tags = "Topology",
timestamp = "2019-02-06",
uuid = "9039dcc8-b814-4727-8081-bc5f586da9cc",
languages = "eng",
identifiers = "google:3enbvgEACAAJ" }
@misc{ T.Y.Lam514,
title = "Lectures in Modules and Rings",
title_sort = "Lectures in Modules and Rings",
author_sort = "Lam, T. Y.",
author = "T. Y. Lam",
cover = "/home/zack/Dropbox/Library/T. Y. Lam/Lectures in Modules and Rings (514)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/T. Y. Lam/Lectures in Modules and Rings (514)/Lectures in Modules and Rings - T. Y. Lam.pdf:PDF",
calibreid = "514",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "46718983 octets",
timestamp = "2019-02-06",
uuid = "d88fde8f-a1ab-449b-9fb6-27874ba6103d",
languages = "eng" }
@misc{ AndreasGathmann515,
title = "Algebraic Geometry",
title_sort = "Algebraic Geometry",
author_sort = "Gathmann, Andreas",
author = "Andreas Gathmann",
cover = "/home/zack/Dropbox/Library/Andreas Gathmann/Algebraic Geometry (515)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Andreas Gathmann/Algebraic Geometry (515)/Algebraic Geometry - Andreas Gathmann.pdf:PDF",
calibreid = "515",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "1597613 octets",
tags = "textbook, algebraic geometry",
timestamp = "2019-02-06",
uuid = "8fe52cee-c78d-49bb-a68d-bf36c2f6641b",
languages = "eng" }
@book{ HerbertS.Wilf516,
title = "Generatingfunctionology",
title_sort = "Generatingfunctionology",
author_sort = "Wilf, Herbert S.",
author = "Herbert S. Wilf",
note = "This is the Second Edition of the highly successful introduction to the use of generating functions and series in combinatorial mathematics. This new edition includes several new areas of application, including the cycle index of the symmetric group, permutations and square roots, counting polyominoes, and exact covering sequences. An appendix on using the computer algebra programs MAPLE(r) and Mathematica (r) to generate functions is also included. The book provides a clear, unified introduction to the basic enumerative applications of generating functions, and includes exercises and solutions, many new, at the end of each chapter.
",
cover = "/home/zack/Dropbox/Library/Herbert S. Wilf/Generatingfunctionology (516)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Herbert S. Wilf/Generatingfunctionology (516)/Generatingfunctionology - Herbert S. Wilf.pdf:PDF",
calibreid = "516",
isbn = "978-01-2751-956-2",
library_name = "Library",
year = "1994",
month = "Feb",
publisher = "Academic Press",
volume = "1",
size = "9327829 octets",
tags = "Computers, General",
timestamp = "2019-02-06",
uuid = "af08a0b6-4333-4bf1-ab01-11c708cc1eb7",
languages = "eng",
identifiers = "google:5iTvAAAAMAAJ,isbn:9780127519562" }
@book{ RyszardEngelking517,
title = "General Topology",
title_sort = "General Topology",
author_sort = "Engelking, Ryszard",
author = "Ryszard Engelking",
cover = "/home/zack/Dropbox/Library/Ryszard Engelking/General Topology (517)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Ryszard Engelking/General Topology (517)/General Topology - Ryszard Engelking.pdf:PDF",
calibreid = "517",
isbn = "978-38-8538-006-1",
library_name = "Library",
year = "1989",
month = "Feb",
publisher = "Heldermann Verlag",
volume = "1",
size = "29332103 octets",
tags = "Mathematics, Topology, textbook",
timestamp = "2019-02-06",
uuid = "7ce00b7f-0ff3-49c3-951c-389a5b5f0a26",
languages = "eng",
identifiers = "google:K3spAQAAMAAJ,isbn:9783885380061" }
@misc{ JulianHavil518,
title = "Gamma Exploring Euler's Constant",
title_sort = "Gamma Exploring Euler's Constant",
author_sort = "Havil, Julian",
author = "Julian Havil",
cover = "/home/zack/Dropbox/Library/Julian Havil/Gamma Exploring Euler's Constant (518)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Julian Havil/Gamma Exploring Euler's Constant (518)/Gamma Exploring Euler's Constant - Julian Havil.pdf:PDF",
calibreid = "518",
library_name = "Library",
year = "2008",
month = "Aug",
volume = "1",
size = "10782115 octets",
timestamp = "2019-02-06",
uuid = "46129b50-4771-4db2-9702-3fc0679e5061",
languages = "eng" }
@misc{ TamasSzamuely519,
title = "Galois Groups and Fundamental Groups",
title_sort = "Galois and Fundamental Groups",
author_sort = "Szamuely, Tamas",
author = "Tamas Szamuely",
cover = "/home/zack/Dropbox/Library/Tamas Szamuely/Galois Groups and Fundamental Groups (519)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Tamas Szamuely/Galois Groups and Fundamental Groups (519)/Galois Groups and Fundamental Groups - Tamas Szamuely.pdf:PDF",
calibreid = "519",
library_name = "Library",
year = "2008",
month = "Oct",
volume = "1",
size = "2072697 octets",
tags = "textbook, number theory, Topology",
timestamp = "2019-02-06",
uuid = "d91b7e86-1b4d-4f02-babc-91a0561c9aaa",
languages = "eng" }
@book{ IanNicholasStewart520,
title = "Galois Theory, Fourth Edition",
title_sort = "Galois Theory, Fourth Edition",
author_sort = "Stewart, Ian Nicholas",
author = "Ian Nicholas Stewart",
note = "Since 1973, Galois Theory has been educating undergraduate students on Galois groups and classical Galois theory. In Galois Theory, Fourth Edition, mathematician and popular science author Ian Stewart updates this well-established textbook for today’s algebra students. New to the Fourth Edition The replacement of the topological proof of the fundamental theorem of algebra with a simple and plausible result from point-set topology and estimates that will be familiar to anyone who has taken a first course in analysis Revised chapter on ruler-and-compass constructions that results in a more elegant theory and simpler proofs A section on constructions using an angle-trisector since it is an intriguing and direct application of the methods developed A new chapter that takes a retrospective look at what Galois actually did compared to what many assume he did Updated references This bestseller continues to deliver a rigorous yet engaging treatment of the subject while keeping pace with current educational requirements. More than 200 exercises and a wealth of historical notes augment the proofs, formulas, and theorems.
",
cover = "/home/zack/Dropbox/Library/Ian Nicholas Stewart/Galois Theory, Fourth Edition (520)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Ian Nicholas Stewart/Galois Theory, Fourth Edition (520)/Galois Theory, Fourth Edition - Ian Nicholas Stewart.pdf:PDF",
calibreid = "520",
isbn = "978-14-8224-583-7",
library_name = "Library",
year = "2015",
month = "Mar",
publisher = "CRC Press",
volume = "1",
size = "23346853 octets",
tags = "Mathematics, General, Algebra, number theory",
timestamp = "2019-02-06",
uuid = "b25769e6-d162-4807-9d23-ede43b26bfaa",
languages = "eng",
identifiers = "google:JnsZBwAAQBAJ,isbn:9781482245837" }
@book{ JohnStillwell522,
title = "The Four Pillars of Geometry",
title_sort = "Four Pillars of Geometry, The",
author_sort = "Stillwell, John",
author = "John Stillwell",
note = "Many people think there is only one “right” way to teach geometry. For two millennia, the “right” way was Euclid’s way, and it is still good in many respects. But in the 1950s the cry “Down with triangles!” was heard in France and new geometry books appeared, packed with linear algebra but with no diagrams. Was this the new “right” way, or was the “right” way something else again, perhaps transformation groups? In this book, I wish to show that geometry can be developed in four fundamentally different ways, and that all should be used if the subject is to be shown in all its splendor. Euclid-style construction and axiomatics seem the best way to start, but linear algebra smooths the later stages by replacing some tortuous arguments by simple calculations. And how can one avoid projective geometry? It not only explains why objects look the way they do; it also explains why geometry is entangled with algebra. Finally, one needs to know that there is not one geometry, but many, and transformation groups are the best way to distinguish between them. Two chapters are devoted to each approach: The ?rst is concrete and introductory, whereas the second is more abstract. Thus, the ?rst chapter on Euclid is about straightedge and compass constructions; the second is about axioms and theorems. The ?rst chapter on linear algebra is about coordinates; the second is about vector spaces and the inner product.
",
cover = "/home/zack/Dropbox/Library/John Stillwell/The Four Pillars of Geometry (522)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/John Stillwell/The Four Pillars of Geometry (522)/The Four Pillars of Geometry - John Stillwell.pdf:PDF",
calibreid = "522",
isbn = "978-03-8725-530-9",
library_name = "Library",
year = "2005",
month = "Aug",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "2042871 octets",
tags = "Linear, Algebra, Geometry, textbook, General, Mathematics",
timestamp = "2019-02-06",
uuid = "9e31a912-e113-455f-8f38-c29f1b992a3d",
languages = "eng",
identifiers = "isbn:9780387255309,google:I1QPQic\_PxwC" }
@book{ WalterRudin523,
title = "Functional Analysis",
title_sort = "Functional Analysis",
author_sort = "Rudin, Walter",
author = "Walter Rudin",
note = "This classic text is written for graduate courses in functional analysis. This text is used in modern investigations in analysis and applied mathematics. This new edition includes up-to-date presentations of topics as well as more examples and exercises. New topics include Kakutani's fixed point theorem, Lamonosov's invariant subspace theorem, and an ergodic theorem. This text is part of the Walter Rudin Student Series in Advanced Mathematics.
",
cover = "/home/zack/Dropbox/Library/Walter Rudin/Functional Analysis (523)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Walter Rudin/Functional Analysis (523)/Functional Analysis - Walter Rudin.pdf:PDF",
calibreid = "523",
isbn = "978-00-7061-988-3",
library_name = "Library",
year = "2006",
month = "Feb",
publisher = "McGraw-Hill",
volume = "1",
size = "5040430 octets",
timestamp = "2019-02-06",
uuid = "435c3811-6303-46d4-a9b4-109b329fdf6e",
languages = "eng",
identifiers = "isbn:9780070619883,google:l7XFfDmjp5IC" }
@book{ IanStewart524,
title = "The Foundations of Mathematics",
title_sort = "Foundations of Mathematics, The",
author_sort = "Stewart, Ian \& Math, Professor Of \& Stewart, Gresham Professor Of Geometry Ian \& Tall, David \& Tall, David Orme",
author = "Ian Stewart and Professor Of Math and Gresham Professor Of Geometry Ian Stewart and David Tall and David Orme Tall",
note = "{"}There are many textbooks available for a so-called transition course from calculus to abstract mathematics. I have taught this course several times and always find it problematic. The Foundations of Mathematics (Stewart and Tall) is a horse of a different color. The writing is excellent and there is actually some useful mathematics. I definitely like this book.{"}--The Bulletin of Mathematics Books
",
cover = "/home/zack/Dropbox/Library/Ian Stewart/The Foundations of Mathematics (524)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Ian Stewart/The Foundations of Mathematics (524)/The Foundations of Mathematics - Ian Stewart.pdf:PDF",
calibreid = "524",
isbn = "978-01-9853-165-4",
library_name = "Library",
year = "1977",
month = "Feb",
publisher = "Oxford University Press",
volume = "1",
size = "744755 octets",
tags = "Fiction, Classics",
timestamp = "2019-02-06",
uuid = "7d3b733c-ecd4-482c-8036-35f8c2ad137c",
languages = "eng",
identifiers = "isbn:9780198531654,google:TLelvnIU2sEC" }
@book{ WendellFleming525,
title = "Functions of Several Variables",
title_sort = "Functions of Several Variables",
author_sort = "Fleming, Wendell",
author = "Wendell Fleming",
note = "The purpose of this book is to give a systematic development of differential and integral calculus for functions of several variables. The traditional topics from advanced calculus are included: maxima and minima, chain rule, implicit function theorem, multiple integrals, divergence and Stokes's theorems, and so on. However, the treatment differs in several important respects from the traditional one. Vector notation is used throughout, and the distinction is maintained between n-dimensional euclidean space En and its dual. The elements of the Lebesgue theory of integrals are given. In place of the traditional vector analysis in £3, we introduce exterior algebra and the calculus of exterior differential forms. The formulas of vector analysis then become special cases of formulas about differential forms and integrals over manifolds lying in P. The book is suitable for a one-year course at the advanced undergraduate level. By omitting certain chapters, a one semester course can be based on it. For instance, if the students already have a good knowledge of partial differentiation and the elementary topology of P, then substantial parts of Chapters 4, 5, 7, and 8 can be covered in a semester. Some knowledge of linear algebra is presumed. However, results from linear algebra are reviewed as needed (in some cases without proof). A number of changes have been made in the first edition. Many of these were suggested by classroom experience. A new Chapter 2 on elementary topology has been added.
",
cover = "/home/zack/Dropbox/Library/Wendell Fleming/Functions of Several Variables (525)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Wendell Fleming/Functions of Several Variables (525)/Functions of Several Variables - Wendell Fleming.pdf:PDF",
calibreid = "525",
isbn = "978-14-6849-461-7",
library_name = "Library",
year = "2012",
month = "Dec",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "29377750 octets",
tags = "Mathematics, Calculus, Mathematical Analysis, functional analysis, General",
timestamp = "2019-02-06",
uuid = "49e13884-2407-486f-b87d-c805363804bc",
languages = "eng",
identifiers = "google:v-QlBQAAQBAJ,isbn:9781468494617" }
@book{ PhilippeFlajolet526,
title = "Analytic Combinatorics",
title_sort = "Analytic Combinatorics",
author_sort = "Flajolet, Philippe \& Sedgewick, Robert",
author = "Philippe Flajolet and Robert Sedgewick",
note = "Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
",
cover = "/home/zack/Dropbox/Library/Philippe Flajolet/Analytic Combinatorics (526)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Philippe Flajolet/Analytic Combinatorics (526)/Analytic Combinatorics - Philippe Flajolet.pdf:PDF",
calibreid = "526",
isbn = "978-11-3947-716-1",
library_name = "Library",
year = "2009",
month = "Jan",
publisher = "Cambridge University Press",
volume = "1",
size = "11731500 octets",
tags = "combinatorics, Mathematics, textbook, Discrete Mathematics",
timestamp = "2019-02-06",
uuid = "e54771ea-f057-48b4-b2ca-4fa7565e767d",
languages = "eng",
identifiers = "isbn:9781139477161,google:0h-4QcA1c1QC" }
@book{ SheldonRoss527,
title = "A First Course in Probability",
title_sort = "First Course in Probability, A",
author_sort = "Ross, Sheldon",
author = "Sheldon Ross",
note = "This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. A First Course in Probability, Ninth Edition, features clear and intuitive explanations of the mathematics of probability theory, outstanding problem sets, and a variety of diverse examples and applications. This book is ideal for an upper-level undergraduate or graduate level introduction to probability for math, science, engineering and business students. It assumes a background in elementary calculus.
",
cover = "/home/zack/Dropbox/Library/Sheldon Ross/A First Course in Probability (527)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Sheldon Ross/A First Course in Probability (527)/A First Course in Probability - Sheldon Ross.pdf:PDF",
calibreid = "527",
isbn = "978-03-2192-667-8",
library_name = "Library",
year = "2015",
month = "Dec",
publisher = "Pearson Education",
volume = "1",
size = "2833356 octets",
tags = "Mathematics, Probability \& Statistics, General",
timestamp = "2019-02-06",
uuid = "5156f224-4203-4495-b5d3-7b267913a32e",
languages = "eng",
identifiers = "google:AstQCwAAQBAJ,isbn:9780321926678" }
@book{ AlbertBoggess528,
title = "A First Course in Wavelets With Fourier Analysis",
title_sort = "First Course in Wavelets With Fourier Analysis, A",
author_sort = "Boggess, Albert \& Narcowich, Francis J.",
author = "Albert Boggess and Francis J. Narcowich",
note = "A comprehensive, self-contained treatment of Fourier analysis and wavelets—now in a new edition Through expansive coverage and easy-to-follow explanations, A First Course in Wavelets with Fourier Analysis, Second Edition provides a self-contained mathematical treatment of Fourier analysis and wavelets, while uniquely presenting signal analysis applications and problems. Essential and fundamental ideas are presented in an effort to make the book accessible to a broad audience, and, in addition, their applications to signal processing are kept at an elementary level. The book begins with an introduction to vector spaces, inner product spaces, and other preliminary topics in analysis. Subsequent chapters feature: The development of a Fourier series, Fourier transform, and discrete Fourier analysis Improved sections devoted to continuous wavelets and two-dimensional wavelets The analysis of Haar, Shannon, and linear spline wavelets The general theory of multi-resolution analysis Updated MATLAB code and expanded applications to signal processing The construction, smoothness, and computation of Daubechies' wavelets Advanced topics such as wavelets in higher dimensions, decomposition and reconstruction, and wavelet transform Applications to signal processing are provided throughout the book, most involving the filtering and compression of signals from audio or video. Some of these applications are presented first in the context of Fourier analysis and are later explored in the chapters on wavelets. New exercises introduce additional applications, and complete proofs accompany the discussion of each presented theory. Extensive appendices outline more advanced proofs and partial solutions to exercises as well as updated MATLAB routines that supplement the presented examples. A First Course in Wavelets with Fourier Analysis, Second Edition is an excellent book for courses in mathematics and engineering at the upper-undergraduate and graduate levels. It is also a valuable resource for mathematicians, signal processing engineers, and scientists who wish to learn about wavelet theory and Fourier analysis on an elementary level.
",
cover = "/home/zack/Dropbox/Library/Albert Boggess/A First Course in Wavelets With Fourier Analysis (528)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Albert Boggess/A First Course in Wavelets With Fourier Analysis (528)/A First Course in Wavelets With Fourier An - Albert Boggess.pdf:PDF",
calibreid = "528",
isbn = "978-11-1921-432-8",
library_name = "Library",
year = "2015",
month = "Aug",
publisher = "John Wiley \& Sons",
volume = "1",
size = "46511756 octets",
tags = "Mathematics, Numerical Analysis, General",
timestamp = "2019-02-06",
uuid = "0b375f82-3da1-46fb-a813-3f4e612fc0c9",
languages = "eng",
identifiers = "isbn:9781119214328,google:p4FsCgAAQBAJ" }
@book{ FrankW.Warner529,
title = "Foundations of Differentiable Manifolds and Lie Groups",
title_sort = "Foundations of Differentiable Manifolds and Lie Groups",
author_sort = "Warner, Frank W.",
author = "Frank W. Warner",
note = "Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. It includes differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provides a proof of the de Rham theorem via sheaf cohomology theory, and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find this beginning graduate-level text extremely useful.
",
cover = "/home/zack/Dropbox/Library/Frank W. Warner/Foundations of Differentiable Manifolds and Lie Groups (529)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Frank W. Warner/Foundations of Differentiable Manifolds and Lie Groups (529)/Foundations of Differentiable Manifolds an - Frank W. Warner.pdf:PDF",
calibreid = "529",
isbn = "978-14-7571-799-0",
library_name = "Library",
year = "2013",
month = "Nov",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "12537897 octets",
tags = "Group Theory, twoside, Algebra, Geometry, textbook, General, Analytic, differential geometry, Mathematics, lie groups, manifolds, Topology",
timestamp = "2019-02-06",
uuid = "726e4b20-c75b-4fd6-8b5b-a9680d6d5ffe",
languages = "eng",
identifiers = "isbn:9781475717990,google:S\_7lBwAAQBAJ" }
@book{ DavidS.Richeson530,
title = "Euler's Gem: The Polyhedron Formula and the Birth of Topology",
title_sort = "Euler's Gem: The Polyhedron Formula and the Birth of Topology",
author_sort = "Richeson, David S.",
author = "David S. Richeson",
note = "Leonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable mathematical idea. From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of V vertices, E edges, and F faces satisfies the equation V-E+F=2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenth-century mathematicians widened the formula's scope in ways that Euler never envisioned by adapting it for use with doughnut shapes, smooth surfaces, and higher dimensional shapes; and how twentieth-century mathematicians discovered that every shape has its own Euler's formula. Using wonderful examples and numerous illustrations, Richeson presents the formula's many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who's who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem's development, Euler's Gem will fascinate every mathematics enthusiast.
",
cover = "/home/zack/Dropbox/Library/David S. Richeson/Euler's Gem\_ The Polyhedron Formula and the Birth of Topology (530)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/David S. Richeson/Euler's Gem_ The Polyhedron Formula and the Birth of Topology (530)/Euler's Gem_ The Polyhedron Formula and th - David S. Richeson.pdf:PDF",
calibreid = "530",
isbn = "978-14-0083-856-1",
library_name = "Library",
year = "2012",
month = "Mar",
publisher = "Princeton University Press",
volume = "1",
size = "4384581 octets",
tags = "Topology, Science, pop math, textbook, General, Geometry, Mathematics, History \& Philosophy",
timestamp = "2019-02-06",
uuid = "447f75dd-715e-4cb4-b11e-330744f32ea9",
languages = "eng",
identifiers = "google:KUYLhOVkaV4C,isbn:9781400838561" }
@book{ WilliamG.Chinn531,
title = "First Concepts of Topology",
title_sort = "First Concepts of Topology",
author_sort = "Chinn, William G. \& Steenrod, Norman Earl",
author = "William G. Chinn and Norman Earl Steenrod",
note = "The authors of First Concepts of Topology demonstrate the power, the flavor and the adaptability of topology, one of the youngest branches of mathematics, in proving so-called existence theorems. An existence theorem asserts that a solution to some given problem exists; thus it assures those who hunt for a solution that their labors may not be in vain. Since existence theorems are frequently basic to the structure of a mathematical subject, the applications of topology to the proofs of these theorems are frequently basic to the structure of a mathematical subject, the applications of topology to the proofs of these theorems constitute a unifying force for large areas of mathematics. In Part I of this monograph an existence theorem governing a large class of one-dimensional problems is treated; all the important ingredients in its proof, such as continuity of functions, compactness and connectedness of point sets, are developed and illustrated. In Part II, its two-dimensional analogue is carefully built via the necessary generalizations of the one-dimensional tools and concepts. The results are applied to such fundamental mathematical objects as zeros of polynomials, fixed points of mappings, and singularities of vector fields. The reader will find that each of the new concepts he masters will prove to be of invaluable help in his mathematical progress, especially in understanding the basis of the calculus. -- from back cover.
",
cover = "/home/zack/Dropbox/Library/William G. Chinn/First Concepts of Topology (531)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/William G. Chinn/First Concepts of Topology (531)/First Concepts of Topology - William G. Chinn.pdf:PDF",
calibreid = "531",
isbn = "978-08-8385-618-5",
library_name = "Library",
year = "1966",
month = "Feb",
publisher = "MAA",
volume = "1",
size = "7609047 octets",
tags = "Mathematics, General",
timestamp = "2019-02-06",
uuid = "51797faa-a79c-4828-be30-b55e8dcb05ca",
languages = "eng",
identifiers = "google:QJ03p2pOTJ0C,isbn:9780883856185" }
@misc{ IMartinIsaacs532,
title = "Finite Group Theory",
title_sort = "Finite Group Theory",
author_sort = "Isaacs, I Martin",
author = "I Martin Isaacs",
cover = "/home/zack/Dropbox/Library/I Martin Isaacs/Finite Group Theory (532)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/I Martin Isaacs/Finite Group Theory (532)/Finite Group Theory - I Martin Isaacs.pdf:PDF",
calibreid = "532",
library_name = "Library",
year = "2011",
month = "Aug",
volume = "1",
size = "20070195 octets",
timestamp = "2019-02-06",
uuid = "6d20981c-09ad-4d3a-aa14-ff951893622d",
languages = "eng" }
@book{ MarcosMarino533,
title = "Enumerative Invariants in Algebraic Geometry and String Theory: Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, June 6-11, 2005 (Lecture Notes in Mathematics)",
title_sort = "Enumerative Invariants in Algebraic Geometry and String Theory: Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, June 6-11, 2005 (Lecture Notes in Mathematics)",
author_sort = "Marino, Marcos \& Thaddeus, Michael \& Vakil, Ravi \& Behrend, Kai \& Manetti, Marco",
author = "Marcos Marino and Michael Thaddeus and Ravi Vakil and Kai Behrend and Marco Manetti",
note = "Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical high-energy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of Gromov-Witten invariants) leading in turn to the solution of problems in enumerative geometry. Conversely, the availability of mathematically rigorous definitions and theorems has benefited the physics research by providing the required evidence in fields where experimental testing seems problematic. The aim of this volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, is to cover part of the most recent and interesting findings in this subject.
**
",
cover = "/home/zack/Dropbox/Library/Marcos Marino/Enumerative Invariants in Algebraic Geometry and String Theory\_ Lectures Given at the C.I.M.E. (533)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Marcos Marino/Enumerative Invariants in Algebraic Geometry and String Theory_ Lectures Given at the C.I.M.E. (533)/Enumerative Invariants in Algebraic Geomet - Marcos Marino.pdf:PDF",
calibreid = "533",
isbn = "978-35-4079-813-2",
library_name = "Library",
year = "2008",
month = "Oct",
publisher = "Springer",
volume = "1",
size = "4959594 octets",
tags = "algebraic geometry, textbook",
timestamp = "2019-02-06",
uuid = "0d8b612b-8529-4f6f-9f11-1b011d4a5503",
languages = "eng",
identifiers = "isbn:9783540798132,amazon:3540798137" }
@book{ RichardDurrett534,
title = "Essentials of Stochastic Processes",
title_sort = "Essentials of Stochastic Processes",
author_sort = "Durrett, Richard",
author = "Richard Durrett",
note = "This test is designed for a Master's Level course in stochastic processes. It features the introduction and use of martingales, which allow one to do much more with Brownian motion, e.g., option pricing, and queueing theory is integrated into the Continuous Time Markov Chain and Renewal Theory chapters as examples.
",
cover = "/home/zack/Dropbox/Library/Richard Durrett/Essentials of Stochastic Processes (534)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Richard Durrett/Essentials of Stochastic Processes (534)/Essentials of Stochastic Processes - Richard Durrett.pdf:PDF",
calibreid = "534",
isbn = "978-33-1945-614-0",
library_name = "Library",
year = "2016",
month = "Nov",
publisher = "Springer",
rating = "8",
volume = "1",
size = "13345572 octets",
tags = "Mathematics, Probability \& Statistics, General, Business \& Economics, Statistics, Operations Research, Applied, Economics, Stochastic Processes",
timestamp = "2019-02-06",
uuid = "f2dfa6e2-3cea-4272-a5a2-d048b5fb3124",
languages = "eng",
identifiers = "google:ced0DQAAQBAJ,isbn:9783319456140" }
@misc{ RICHARDP.STANLEY535,
title = "Enumerative Combinatorics, Volume 1: Second Edition",
title_sort = "Enumerative Combinatorics, Volume 1: Second Edition",
author_sort = "STANLEY, RICHARD P.",
author = "RICHARD P. STANLEY",
cover = "/home/zack/Dropbox/Library/RICHARD P. STANLEY/Enumerative Combinatorics, Volume 1\_ Second Edition (535)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/RICHARD P. STANLEY/Enumerative Combinatorics, Volume 1_ Second Edition (535)/Enumerative Combinatorics, Volume 1_ Secon - RICHARD P. STANLEY.pdf:PDF",
calibreid = "535",
library_name = "Library",
year = "2011",
month = "Nov",
rating = "10",
volume = "1",
size = "6833631 octets",
timestamp = "2019-02-06",
uuid = "90fc530f-c02d-414d-a7ca-41afce64a597",
languages = "eng" }
@book{ CharlesB.Thomas536,
title = "Elliptic Cohomology",
title_sort = "Elliptic Cohomology",
author_sort = "Thomas, Charles B.",
author = "Charles B. Thomas",
note = "Elliptic cohomology is an extremely beautiful theory with both geometric and arithmetic aspects. The former is explained by the fact that the theory is a quotient of oriented cobordism localised away from 2, the latter by the fact that the coefficients coincide with a ring of modular forms. The aim of the book is to construct this cohomology theory, and evaluate it on classifying spaces BG of finite groups G. This class of spaces is important, since (using ideas borrowed from `Monstrous Moonshine') it is possible to give a bundle-theoretic definition of EU-(BG). Concluding chapters also discuss variants, generalisations and potential applications.
",
cover = "/home/zack/Dropbox/Library/Charles B. Thomas/Elliptic Cohomology (536)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Charles B. Thomas/Elliptic Cohomology (536)/Elliptic Cohomology - Charles B. Thomas.pdf:PDF",
calibreid = "536",
isbn = "978-03-0646-969-5",
library_name = "Library",
year = "2006",
month = "Apr",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "13838541 octets",
tags = "Mathematical \& Computational, Geometry, Science, textbook, General, number theory, Mathematics, physics",
timestamp = "2019-02-06",
uuid = "5076d16d-58b8-49fe-9c35-40527a7c2227",
languages = "eng",
identifiers = "isbn:9780306469695,google:L7TkBwAAQBAJ" }
@book{ HaynesR.Miller537,
title = "Elliptic Cohomology: Geometry, Applications, and Higher Chromatic Analogues",
title_sort = "Elliptic Cohomology: Geometry, Applications, and Higher Chromatic Analogues",
author_sort = "Miller, Haynes R. \& Ravenel, Douglas C.",
author = "Haynes R. Miller and Douglas C. Ravenel",
note = "Edward Witten once said that Elliptic Cohomology was a piece of 21st Century Mathematics that happened to fall into the 20th Century. He also likened our understanding of it to what we know of the topography of an archipelago; the peaks are beautiful and clearly connected to each other, but the exact connections are buried, as yet invisible. This very active subject has connections to algebraic topology, theoretical physics, number theory and algebraic geometry, and all these connections are represented in the sixteen papers in this volume. A variety of distinct perspectives are offered, with topics including equivariant complex elliptic cohomology, the physics of M-theory, the modular characteristics of vertex operator algebras, and higher chromatic analogues of elliptic cohomology. This is the first collection of papers on elliptic cohomology in almost twenty years and gives a broad picture of the state of the art in this important field of mathematics.
**
",
cover = "/home/zack/Dropbox/Library/Haynes R. Miller/Elliptic Cohomology\_ Geometry, Applications, and Higher Chromatic Analogues (537)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Haynes R. Miller/Elliptic Cohomology_ Geometry, Applications, and Higher Chromatic Analogues (537)/Elliptic Cohomology_ Geometry, Application - Haynes R. Miller.pdf:PDF",
calibreid = "537",
isbn = "978-05-2170-040-5",
library_name = "Library",
year = "2007",
month = "Mar",
publisher = "Cambridge University Press",
rating = "8",
volume = "1",
size = "3299606 octets",
tags = "Applied, Mathematical \& Computational, Geometry, Science, textbook, General, Mathematics, number theory, physics, Topology",
timestamp = "2019-02-06",
uuid = "b6763a80-9056-4806-8a0d-42ca9474daa3",
languages = "eng",
identifiers = "google:ofnD0loTwC0C,amazon:052170040X,isbn:9780521700405" }
@book{ AndrewPressley538,
title = "Elementary Differential Geometry",
title_sort = "Elementary Differential Geometry",
author_sort = "Pressley, Andrew",
author = "Andrew Pressley",
note = "Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions, and with trying to answer them using calculus techniques. It is a subject that contains some of the most beautiful and profound results in mathematics, yet many of them are accessible to higher level undergraduates.Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces while keeping the prerequisites to an absolute minimum. Nothing more than first courses in linear algebra and multivariate calculus are required, and the most direct and straightforward approach is used at all times. Numerous diagrams illustrate both the ideas in the text and the examples of curves and surfaces discussed there.The second edition has extra exercises with solutions available to lecturers online. There is additional material on Map Colouring, Holonomy and geodesic curvature and various additions to existing sections.
",
cover = "/home/zack/Dropbox/Library/Andrew Pressley/Elementary Differential Geometry (538)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Andrew Pressley/Elementary Differential Geometry (538)/Elementary Differential Geometry - Andrew Pressley.pdf:PDF",
calibreid = "538",
isbn = "978-18-5233-152-8",
library_name = "Library",
year = "2001",
month = "Feb",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "11508028 octets",
tags = "Geometry, Mathematics, Differential, Topology",
timestamp = "2019-02-06",
uuid = "5ca68356-a13c-41ad-8128-84da8d085f89",
languages = "eng",
identifiers = "isbn:9781852331528,google:UXPyquQaO6EC" }
@book{ LawrenceE.Spence539,
title = "Elementary Linear Algebra: A Matrix Approach",
title_sort = "Elementary Linear Algebra: A Matrix Approach",
author_sort = "Spence, Lawrence E. \& Insel, Arnold J. \& Friedberg, Stephen H.",
author = "Lawrence E. Spence and Arnold J. Insel and Stephen H. Friedberg",
note = "Ideal as a reference or quick review of the fundamentals of linear algebra, this book offers a matrix-oriented approach--with more emphasis on Euclidean n-space, problem solving, and applications, and less emphasis on abstract vector spaces. It features a variety of applications, boxed statements of important results, and a large number of numbered and unnumbered examples. Matrices, Vectors, and Systems of Linear Equations. Matrices and Linear Transformations. Determinants. Subspaces and Their Properties. Eigenvalues, Eigenvectors, and Diagonalization. Orthogonality. Vector Spaces. Complex Numbers. A professional reference for computer scientists, statisticians, and some engineers.
",
cover = "/home/zack/Dropbox/Library/Lawrence E. Spence/Elementary Linear Algebra\_ A Matrix Approach (539)/cover.jpg",
calibreid = "539",
isbn = "978-01-3716-722-7",
library_name = "Library",
year = "2000",
month = "Feb",
publisher = "Prentice Hall",
volume = "1",
size = "112458273 octets",
tags = "Mathematics, Algebra, Linear",
timestamp = "2019-02-06",
uuid = "15246771-5d15-4203-8211-ca9429028a9c",
languages = "eng",
identifiers = "isbn:9780137167227,google:YhDQvwEACAAJ" }
@book{ HowardAnton540,
title = "Elementary Linear Algebra: Applications Version, 11th Edition",
title_sort = "Elementary Linear Algebra: Applications Version, 11th Edition",
author_sort = "Anton, Howard \& Rorres, Chris",
author = "Howard Anton and Chris Rorres",
note = "Elementary Linear Algebra 11th edition gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus.
",
cover = "/home/zack/Dropbox/Library/Howard Anton/Elementary Linear Algebra\_ Applications Version, 11th Edition (540)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Howard Anton/Elementary Linear Algebra_ Applications Version, 11th Edition (540)/Elementary Linear Algebra_ Applications Ve - Howard Anton.pdf:PDF",
calibreid = "540",
isbn = "978-11-1887-916-0",
library_name = "Library",
year = "2013",
month = "Oct",
publisher = "Wiley Global Education",
rating = "8",
volume = "1",
size = "10391447 octets",
tags = "linear algebra, Algebra, Linear, textbook, Mathematics",
timestamp = "2019-02-06",
uuid = "8f71bb63-4133-42a6-95a8-95bad1fac643",
languages = "eng",
identifiers = "google:loRbAgAAQBAJ,isbn:9781118879160" }
@book{ KennethA.Ross541,
title = "Elementary Analysis: The Theory of Calculus",
title_sort = "Elementary Analysis: The Theory of Calculus",
author_sort = "Ross, Kenneth A.",
author = "Kenneth A. Ross",
note = "Designed for students having no previous experience with rigorous proofs, this text on analysis can be used immediately following standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.
",
cover = "/home/zack/Dropbox/Library/Kenneth A. Ross/Elementary Analysis\_ The Theory of Calculus (541)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Kenneth A. Ross/Elementary Analysis_ The Theory of Calculus (541)/Elementary Analysis_ The Theory of Calculu - Kenneth A. Ross.pdf:PDF",
calibreid = "541",
isbn = "978-14-7573-971-8",
library_name = "Library",
year = "2013",
month = "Apr",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "71789029 octets",
tags = "Calculus, ISBN-13:, Mathematical Analysis, Mathematics",
timestamp = "2019-02-06",
uuid = "2e502b4d-aa94-4798-98b4-4fe88fbb0843",
languages = "eng",
identifiers = "google:meqPBAAAQBAJ,isbn:9781475739718" }
@book{ VictorGuillemin542,
title = "Differential Topology",
title_sort = "Differential Topology",
author_sort = "Guillemin, Victor \& Pollack, Alan",
author = "Victor Guillemin and Alan Pollack",
note = "Differential Topology provides an elementary and intuitive introduction to the study of smooth manifolds. In the years since its first publication, Guillemin and Pollack's book has become a standard text on the subject. It is a jewel of mathematical exposition, judiciously picking exactly the right mixture of detail and generality to display the richness within. The text is mostly self-contained, requiring only undergraduate analysis and linear algebra. By relying on a unifying idea--transversality--the authors are able to avoid the use of big machinery or ad hoc techniques to establish the main results. In this way, they present intelligent treatments of important theorems, such as the Lefschetz fixed-point theorem, the Poincaré-Hopf index theorem, and Stokes theorem. The book has a wealth of exercises of various types. Some are routine explorations of the main material. In others, the students are guided step-by-step through proofs of fundamental results, such as the Jordan-Brouwer separation theorem. An exercise section in Chapter 4 leads the student through a construction of de Rham cohomology and a proof of its homotopy invariance. The book is suitable for either an introductory graduate course or an advanced undergraduate course.
",
cover = "/home/zack/Dropbox/Library/Victor Guillemin/Differential Topology (542)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Victor Guillemin/Differential Topology (542)/Differential Topology - Victor Guillemin.pdf:PDF",
calibreid = "542",
isbn = "978-08-2185-193-7",
library_name = "Library",
year = "2010",
month = "Feb",
publisher = "American Mathematical Soc.",
volume = "1",
size = "4455048 octets",
tags = "Mathematics, Topology, textbook, differential topology",
timestamp = "2019-02-06",
uuid = "d47ac2d7-b177-431c-be90-2b3f1f708a6a",
languages = "eng",
identifiers = "google:FdRhAQAAQBAJ,isbn:9780821851937" }
@misc{ Joao543,
title = "Div Grad Curl",
title_sort = "Div Grad Curl",
author_sort = "Joao",
author = "Joao",
cover = "/home/zack/Dropbox/Library/Joao/Div Grad Curl (543)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Joao/Div Grad Curl (543)/Div Grad Curl - Joao.pdf:PDF",
calibreid = "543",
library_name = "Library",
year = "2013",
month = "Feb",
volume = "1",
size = "23498564 octets",
timestamp = "2019-02-06",
uuid = "c667503c-1280-464f-8042-20b170dc24ce",
languages = "eng" }
@book{ GrimaldiRalphP.544,
title = "Discrete and Combinatorial Mathematics: An Applied Introduction",
title_sort = "Discrete and Combinatorial Mathematics: An Applied Introduction",
author_sort = "P., Grimaldi Ralph",
author = "Grimaldi Ralph P.",
cover = "/home/zack/Dropbox/Library/Grimaldi Ralph P\_/Discrete and Combinatorial Mathematics\_ An Applied Introduction (544)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Grimaldi Ralph P_/Discrete and Combinatorial Mathematics_ An Applied Introduction (544)/Discrete and Combinatorial Mathematics_ An - Grimaldi Ralph P_.pdf:PDF",
calibreid = "544",
isbn = "978-81-3175-894-6",
library_name = "Library",
year = "2004",
month = "Feb",
publisher = "University of Simon Fraser Library",
volume = "1",
size = "89299018 octets",
tags = "combinatorics, textbook",
timestamp = "2019-02-06",
uuid = "a1a8ff8b-018c-45b5-93f2-231b7c373966",
languages = "eng",
identifiers = "isbn:9788131758946,google:uwPcsUvC47kC" }
@book{ StephenW.Goode545,
title = "Differential Equations and Linear Algebra",
title_sort = "Differential Equations and Linear Algebra",
author_sort = "Goode, Stephen W. \& Annin, Scott A.",
author = "Stephen W. Goode and Scott A. Annin",
note = "This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Differential Equations and Linear Algebra is designed for use in combined differential equations and linear algebra courses. It is best suited for students who have successfully completed three semesters of calculus. Differential Equations and Linear Algebra presents a carefully balanced and sound integration of both differential equations and linear algebra. It promotes in-depth understanding rather than rote memorization, enabling readers to fully comprehend abstract concepts and leave the course with a solid foundation in key areas. Flexible in format, it explains concepts clearly and logically with an abundance of examples and illustrations, without sacrificing level or rigor. The Fourth Edition includes many updated problems to support the material, with varying difficulty levels from which students/instructors can choose.
",
cover = "/home/zack/Dropbox/Library/Stephen W. Goode/Differential Equations and Linear Algebra (545)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Stephen W. Goode/Differential Equations and Linear Algebra (545)/Differential Equations and Linear Algebra - Stephen W. Goode.pdf:PDF",
calibreid = "545",
isbn = "978-03-2199-016-7",
library_name = "Library",
year = "2016",
month = "Jan",
publisher = "Pearson Education",
volume = "1",
size = "7634436 octets",
tags = "Mathematics, textbook, General",
timestamp = "2019-02-06",
uuid = "61b74534-e356-4705-bbb3-bb5585b4e908",
languages = "eng",
identifiers = "isbn:9780321990167,google:\_rx5CwAAQBAJ" }
@misc{ LoringW.Tu546,
title = "Differential Geometry - Connections, Curvature, and Characteristic Classes",
title_sort = "Differential Geometry - Connections, Curvature, and Characteristic Classes",
author_sort = "Tu, Loring W.",
author = "Loring W. Tu",
cover = "/home/zack/Dropbox/Library/Loring W. Tu/Differential Geometry - Connections, Curvature, and Characteristic Classes (546)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Loring W. Tu/Differential Geometry - Connections, Curvature, and Characteristic Classes (546)/Differential Geometry - Connections, Curva - Loring W. Tu.pdf:PDF",
calibreid = "546",
library_name = "Library",
year = "2017",
month = "May",
rating = "10",
volume = "1",
size = "2855529 octets",
tags = "textbook, differential geometry",
timestamp = "2019-02-06",
uuid = "b39053fd-70d9-4c6f-84c5-395bb5ba2e5b",
languages = "eng" }
@book{ FredDiamond547,
title = "A First Course in Modular Forms",
title_sort = "First Course in Modular Forms, A",
author_sort = "Diamond, Fred \& Shurman, Jerry",
author = "Fred Diamond and Jerry Shurman",
note = "This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers elliptic curves as complex tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner theory; Hecke eigenforms and their arithmetic properties; the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory. The authors assume no background in algebraic number theory and algebraic geometry. Exercises are included.
",
cover = "/home/zack/Dropbox/Library/Fred Diamond/A First Course in Modular Forms (547)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Fred Diamond/A First Course in Modular Forms (547)/A First Course in Modular Forms - Fred Diamond.pdf:PDF",
calibreid = "547",
isbn = "978-03-8727-226-9",
library_name = "Library",
year = "2006",
month = "Mar",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "3482355 octets",
tags = "Geometry, textbook, number theory, Algebraic, Mathematics, Probability \& Statistics, Stochastic Processes",
timestamp = "2019-02-06",
uuid = "60ed8414-bddd-44a6-b1cf-d3a3cc6d9956",
languages = "eng",
identifiers = "isbn:9780387272269,google:EXZCAAAAQBAJ" }
@misc{ YichaoTian549,
title = "Course Notes on Intersection Theory",
title_sort = "Course Notes on Intersection Theory",
author_sort = "Tian, Yichao",
author = "Yichao Tian",
cover = "/home/zack/Dropbox/Library/Yichao Tian/Course Notes on Intersection Theory (549)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Yichao Tian/Course Notes on Intersection Theory (549)/Course Notes on Intersection Theory - Yichao Tian.pdf:PDF",
calibreid = "549",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "472213 octets",
tags = "algebraic topology",
timestamp = "2019-02-06",
uuid = "1b8e83b0-29a6-493f-bf2e-1b1dc6bc034d",
languages = "eng" }
@misc{ Bourbaki550,
title = "Panorama of Pure Mathematics",
title_sort = "Panorama of Pure Mathematics",
author_sort = "Bourbaki",
author = "Bourbaki",
cover = "/home/zack/Dropbox/Library/Bourbaki/Panorama of Pure Mathematics (550)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Bourbaki/Panorama of Pure Mathematics (550)/Panorama of Pure Mathematics - Bourbaki.pdf:PDF",
calibreid = "550",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "19014186 octets",
tags = "textbook, survey",
timestamp = "2019-02-06",
uuid = "bb321904-db8b-4e65-80db-2716636560c2",
languages = "eng" }
@book{ NealKoblitz551,
title = "A Course in Number Theory and Cryptography",
title_sort = "Course in Number Theory and Cryptography, A",
author_sort = "Koblitz, Neal",
author = "Neal Koblitz",
note = ". . . both Gauss and lesser mathematicians may be justified in rejoic ing that there is one science [number theory] at any rate, and that their own, whose very remoteness from ordinary human activities should keep it gentle and clean. - G. H. Hardy, A Mathematician's Apology, 1940 G. H. Hardy would have been surprised and probably displeased with the increasing interest in number theory for application to {"}ordinary human activities{"} such as information transmission (error-correcting codes) and cryptography (secret codes). Less than a half-century after Hardy wrote the words quoted above, it is no longer inconceivable (though it hasn't happened yet) that the N. S. A. (the agency for U. S. government work on cryptography) will demand prior review and clearance before publication of theoretical research papers on certain types of number theory. In part it is the dramatic increase in computer power and sophistica tion that has influenced some of the questions being studied by number theorists, giving rise to a new branch of the subject, called {"}computational number theory. {"} This book presumes almost no background in algebra or number the ory. Its purpose is to introduce the reader to arithmetic topics, both ancient and very modern, which have been at the center of interest in applications, especially in cryptography. For this reason we take an algorithmic approach, emphasizing estimates of the efficiency of the techniques that arise from the theory.
",
cover = "/home/zack/Dropbox/Library/Neal Koblitz/A Course in Number Theory and Cryptography (551)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Neal Koblitz/A Course in Number Theory and Cryptography (551)/A Course in Number Theory and Cryptography - Neal Koblitz.pdf:PDF",
calibreid = "551",
isbn = "978-03-8794-293-3",
library_name = "Library",
year = "1994",
month = "Sep",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "1300761 octets",
tags = "Cryptography, Probability \& Statistics, number theory, Stochastic Processes, Mathematics",
timestamp = "2019-02-06",
uuid = "c10d4f95-5b75-4ead-9882-0ef4eda160b3",
languages = "eng",
identifiers = "amazon:0387942939,isbn:9780387942933,google:QTItdhGfqCcC" }
@book{ J.H.vanLint552,
title = "A Course in Combinatorics",
title_sort = "Course in Combinatorics, A",
author_sort = "Lint, J. H. van \& Wilson, R. M.",
author = "J. H. van Lint and R. M. Wilson",
note = "This is the second edition of a popular book on combinatorics, a subject dealing with ways of arranging and distributing objects, and which involves ideas from geometry, algebra and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has thus become essential for workers in many scientific fields to have some familiarity with the subject. The authors have tried to be as comprehensive as possible, dealing in a unified manner with, for example, graph theory, extremal problems, designs, colorings and codes. The depth and breadth of the coverage make the book a unique guide to the whole of the subject. The book is ideal for courses on combinatorical mathematics at the advanced undergraduate or beginning graduate level. Working mathematicians and scientists will also find it a valuable introduction and reference.
",
cover = "/home/zack/Dropbox/Library/J. H. van Lint/A Course in Combinatorics (552)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/J. H. van Lint/A Course in Combinatorics (552)/A Course in Combinatorics - J. H. van Lint.pdf:PDF",
calibreid = "552",
isbn = "978-11-3943-063-0",
library_name = "Library",
year = "2001",
month = "Nov",
publisher = "Cambridge University Press",
volume = "1",
size = "2868181 octets",
tags = "Mathematics, Discrete Mathematics, combinatorics",
timestamp = "2019-02-06",
uuid = "0578cf2f-0c0a-4f2f-9daa-8666777fa017",
languages = "eng",
identifiers = "isbn:9781139430630,google:0uEgAwAAQBAJ" }
@book{ JohnSensele553,
title = "Cookbook of a Level Statistics: Descriptive Statistics, Probability and Inferential Statistics",
title_sort = "Cookbook of a Level Statistics: Descriptive Statistics, Probability and Inferential Statistics",
author_sort = "Sensele, John",
author = "John Sensele",
note = "Measures of central tendency, measure of spread, probability, probability distributions, estimation, regression
**
",
cover = "/home/zack/Dropbox/Library/John Sensele/Cookbook of a Level Statistics\_ Descriptive Statistics, Probability and Inferential Statistics (553)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/John Sensele/Cookbook of a Level Statistics_ Descriptive Statistics, Probability and Inferential Statistics (553)/Cookbook of a Level Statistics_ Descriptiv - John Sensele.pdf:PDF",
calibreid = "553",
library_name = "Library",
year = "100",
month = "Dec",
publisher = "Mutumpa",
rating = "6",
volume = "1",
size = "1002180 octets",
timestamp = "2019-02-06",
uuid = "2a75414e-40a1-468c-9d46-640025b9c4e2",
languages = "eng",
identifiers = "amazon:B00R1XZ8J2" }
@book{ GayleLaakmannMcDowell554,
title = "Cracking the Coding Interview, 6th Edition: 189 Programming Questions and Solutions (Indian Edition)",
title_sort = "Cracking the Coding Interview, 6th Edition: 189 Programming Questions and Solutions (Indian Edition)",
author_sort = "McDowell, Gayle Laakmann",
author = "Gayle Laakmann McDowell",
cover = "/home/zack/Dropbox/Library/Gayle Laakmann McDowell/Cracking the Coding Interview, 6th Edition\_ 189 Programming Questions and Solutions (Indian Edi (554)/cover.jpg",
calibreid = "554",
isbn = "978-09-8478-286-4",
library_name = "Library",
year = "2015",
month = "Oct",
publisher = "CareerCup",
volume = "1",
timestamp = "2019-02-06",
uuid = "855910f5-8e35-413f-8850-cd514173f5b2",
languages = "eng",
identifiers = "isbn:9780984782864,google:sFx8jgEACAAJ" }
@misc{ JohnB.Conway555,
title = "Function of One Complex Variable I",
title_sort = "Function of One Complex Variable I",
author_sort = "Conway, John B.",
author = "John B. Conway",
cover = "/home/zack/Dropbox/Library/John B. Conway/Function of One Complex Variable I (555)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/John B. Conway/Function of One Complex Variable I (555)/Function of One Complex Variable I - John B. Conway.pdf:PDF",
calibreid = "555",
library_name = "Library",
year = "2011",
month = "Sep",
rating = "10",
volume = "1",
size = "38744913 octets",
tags = "textbook, Complex Analysis",
timestamp = "2019-02-06",
uuid = "170b8521-a9d8-4c93-ae70-13c1f2c56921",
languages = "eng" }
@book{ JosephGallian556,
title = "Contemporary Abstract Algebra",
title_sort = "Contemporary Abstract Algebra",
author_sort = "Gallian, Joseph",
author = "Joseph Gallian",
note = "Contemporary Abstract Algebra 7/e provides a solid introduction to the traditional topics in abstract algebra while conveying to students that it is a contemporary subject used daily by working mathematicians, computer scientists, physicists, and chemists. The text includes numerous figures, tables, photographs, charts, biographies, computer exercises, and suggested readings giving the subject a current feel which makes the content interesting and relevant for students.Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
",
cover = "/home/zack/Dropbox/Library/Joseph Gallian/Contemporary Abstract Algebra (556)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Joseph Gallian/Contemporary Abstract Algebra (556)/Contemporary Abstract Algebra - Joseph Gallian.pdf:PDF",
calibreid = "556",
isbn = "978-05-4716-509-7",
library_name = "Library",
year = "2009",
month = "Jan",
publisher = "Cengage Learning",
volume = "1",
size = "6643055 octets",
tags = "Mathematics, General",
timestamp = "2019-02-06",
uuid = "a37260d2-7f0f-4545-8cd3-e4dbe0047631",
languages = "eng",
identifiers = "google:CnH3mlOKpsMC,isbn:9780547165097" }
@book{ RonaldL.Graham557,
title = "Concrete Mathematics",
title_sort = "Concrete Mathematics",
author_sort = "Graham, Ronald L.",
author = "Ronald L. Graham",
cover = "/home/zack/Dropbox/Library/Ronald L. Graham/Concrete Mathematics (557)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Ronald L. Graham/Concrete Mathematics (557)/Concrete Mathematics - Ronald L. Graham.pdf:PDF",
calibreid = "557",
isbn = "978-81-3170-841-5",
library_name = "Library",
year = "1994",
month = "Feb",
publisher = "Pearson Education",
volume = "1",
size = "6336536 octets",
timestamp = "2019-02-06",
uuid = "3596f671-3b5e-45c9-a738-d98096d97eee",
languages = "eng",
identifiers = "google:bRr2IvwTJaEC,isbn:9788131708415" }
@misc{ WernerHildbertGreub558,
title = "Connections, Curvature, and Cohomology. Vol. 2: Lie Groups, Principal Bundles, and Characteristic Classes (Pure and Applied Mathematics Series; v. 47-II)",
title_sort = "Connections, Curvature, and Cohomology. Vol. 2: Lie Groups, Principal Bundles, and Characteristic Classes (Pure and Applied Mathematics Series; v. 47-II)",
author_sort = "Greub, Werner Hildbert \& Halperin, Stephen \& Vanstone, Ray",
author = "Werner Hildbert Greub and Stephen Halperin and Ray Vanstone",
note = "9780123027023
",
cover = "/home/zack/Dropbox/Library/Werner Hildbert Greub/Connections, Curvature, and Cohomology. Vol. 2\_ Lie Groups, Principal Bundles, and Characterist (558)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Werner Hildbert Greub/Connections, Curvature, and Cohomology. Vol. 2_ Lie Groups, Principal Bundles, and Characterist (558)/Connections, Curvature, and Cohomology. Vo - Werner Hildbert Greub.pdf:PDF",
calibreid = "558",
isbn = "01-2302-702-0",
library_name = "Library",
year = "2008",
month = "Apr",
volume = "1",
size = "17375861 octets",
tags = "textbook, Geometry, differential geometry",
timestamp = "2019-02-06",
uuid = "d85759ee-7b90-4b8b-99a7-9888aff7efa4",
languages = "eng",
identifiers = "isbn:0123027020" }
@book{ JohnB.Conway561,
title = "A Course in Functional Analysis",
title_sort = "Course in Functional Analysis, A",
author_sort = "Conway, John B.",
author = "John B. Conway",
note = "Functional analysis has become a sufficiently large area of mathematics that it is possible to find two research mathematicians, both of whom call themselves functional analysts, who have great difficulty understanding the work of the other. The common thread is the existence of a linear space with a topology or two (or more). Here the paths diverge in the choice of how that topology is defined and in whether to study the geometry of the linear space, or the linear operators on the space, or both. In this book I have tried to follow the common thread rather than any special topic. I have included some topics that a few years ago might have been thought of as specialized but which impress me as interesting and basic. Near the end of this work I gave into my natural temptation and included some operator theory that, though basic for operator theory, might be considered specialized by some functional analysts.
",
cover = "/home/zack/Dropbox/Library/John B. Conway/A Course in Functional Analysis (561)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/John B. Conway/A Course in Functional Analysis (561)/A Course in Functional Analysis - John B. Conway.pdf:PDF",
calibreid = "561",
isbn = "978-14-7573-828-5",
library_name = "Library",
year = "2013",
month = "Apr",
publisher = "Springer Science \& Business Media",
rating = "10",
volume = "1",
size = "7020959 octets",
tags = "Calculus, analysis, Mathematical Analysis, textbook, functional analysis, Mathematics",
timestamp = "2019-02-06",
uuid = "a85211a0-a113-41f5-9a3e-42213296472e",
languages = "eng",
identifiers = "google:ccEGCAAAQBAJ,isbn:9781475738285" }
@book{ AndreiD.Polyanin562,
title = "A Concise Handbook of Mathematics, Physics, and Engineering Sciences",
title_sort = "Concise Handbook of Mathematics, Physics, and Engineering Sciences, A",
author_sort = "Polyanin, Andrei D. \& Chernoutsan, Alexei I.",
author = "Andrei D. Polyanin and Alexei I. Chernoutsan",
note = "A Concise Handbook of Mathematics, Physics, and Engineering Sciences takes a practical approach to the basic notions, formulas, equations, problems, theorems, methods, and laws that most frequently occur in scientific and engineering applications and university education. The authors pay special attention to issues that many engineers and students find difficult to understand. The first part of the book contains chapters on arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, functions of complex variables, integral transforms, ordinary and partial differential equations, special functions, and probability theory. The second part discusses molecular physics and thermodynamics, electricity and magnetism, oscillations and waves, optics, special relativity, quantum mechanics, atomic and nuclear physics, and elementary particles. The third part covers dimensional analysis and similarity, mechanics of point masses and rigid bodies, strength of materials, hydrodynamics, mass and heat transfer, electrical engineering, and methods for constructing empirical and engineering formulas. The main text offers a concise, coherent survey of the most important definitions, formulas, equations, methods, theorems, and laws. Numerous examples throughout and references at the end of each chapter provide readers with a better understanding of the topics and methods. Additional issues of interest can be found in the remarks. For ease of reading, the supplement at the back of the book provides several long mathematical tables, including indefinite and definite integrals, direct and inverse integral transforms, and exact solutions of differential equations.
",
cover = "/home/zack/Dropbox/Library/Andrei D. Polyanin/A Concise Handbook of Mathematics, Physics, and Engineering Sciences (562)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Andrei D. Polyanin/A Concise Handbook of Mathematics, Physics, and Engineering Sciences (562)/A Concise Handbook of Mathematics, Physics - Andrei D. Polyanin.pdf:PDF",
calibreid = "562",
isbn = "978-14-3980-639-5",
library_name = "Library",
year = "2010",
month = "Oct",
publisher = "Taylor \& Francis",
volume = "1",
size = "8901669 octets",
tags = "Mathematical \& Computational, Science, General, Environmental, Mathematics, physics, Engineering (General)",
timestamp = "2019-02-06",
uuid = "1216d160-8d05-418f-80f8-e7fafccf827d",
languages = "eng",
identifiers = "isbn:9781439806395,google:svNEjwEACAAJ" }
@book{ DavidA.Forsyth563,
title = "Computer Vision: A Modern Approach: A Modern Approach",
title_sort = "Computer Vision: A Modern Approach: A Modern Approach",
author_sort = "Forsyth, David A. \& Ponce, Jean",
author = "David A. Forsyth and Jean Ponce",
note = "Appropriate for upper-division undergraduate- and graduate-level courses in computer vision found in departments of Computer Science, Computer Engineering and Electrical Engineering. This textbook provides the most complete treatment of modern computer vision methods by two of the leading authorities in the field. This accessible presentation gives both a general view of the entire computer vision enterprise and also offers sufficient detail for students to be able to build useful applications. Students will learn techniques that have proven to be useful by first-hand experience and a wide range of mathematical methods.
",
cover = "/home/zack/Dropbox/Library/David A. Forsyth/Computer Vision\_ A Modern Approach\_ A Modern Approach (563)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/David A. Forsyth/Computer Vision_ A Modern Approach_ A Modern Approach (563)/Computer Vision_ A Modern Approach_ A Mode - David A. Forsyth.pdf:PDF",
calibreid = "563",
isbn = "978-12-9201-408-1",
library_name = "Library",
year = "2015",
month = "Jan",
publisher = "Pearson Education Limited",
volume = "1",
size = "45508012 octets",
tags = "Computer Vision Library, Computer Vision \& Pattern Recognition, Computers",
timestamp = "2019-02-06",
uuid = "d71a8ca1-b999-4901-9aaf-9d04deec1493",
languages = "eng",
identifiers = "google:pAWpBwAAQBAJ,isbn:9781292014081" }
@book{ F.WilliamLawvere565,
title = "Conceptual Mathematics: A First Introduction to Categories",
title_sort = "Conceptual Mathematics: A First Introduction to Categories",
author_sort = "Lawvere, F. William \& Schanuel, Stephen Hoel",
author = "F. William Lawvere and Stephen Hoel Schanuel",
note = "The idea of a {"}category{"}--a sort of mathematical universe--has brought about a remarkable unification and simplification of mathematics. Written by two of the best-known names in categorical logic, Conceptual Mathematics is the first book to apply categories to the most elementary mathematics. It thus serves two purposes: first, to provide a key to mathematics for the general reader or beginning student; and second, to furnish an easy introduction to categories for computer scientists, logicians, physicists, and linguists who want to gain some familiarity with the categorical method without initially committing themselves to extended study.
",
cover = "/home/zack/Dropbox/Library/F. William Lawvere/Conceptual Mathematics\_ A First Introduction to Categories (565)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/F. William Lawvere/Conceptual Mathematics_ A First Introduction to Categories (565)/Conceptual Mathematics_ A First Introducti - F. William Lawvere.pdf:PDF",
calibreid = "565",
isbn = "978-05-2147-817-5",
library_name = "Library",
year = "1997",
month = "Oct",
publisher = "Cambridge University Press",
volume = "1",
size = "14664274 octets",
tags = "Geometry, Algebraic, ISBN-13: 9780521472494, Logic, Mathematics, History \& Philosophy",
timestamp = "2019-02-06",
uuid = "63de9d87-c034-4d41-b34e-fc298e031f48",
languages = "eng",
identifiers = "isbn:9780521478175,google:o1tHw4W5MZQC" }
@book{ MichaelSpivak568,
title = "A Comprehensive Introduction to Differential Geometry",
title_sort = "Comprehensive Introduction to Differential Geometry, A",
author_sort = "Spivak, Michael",
author = "Michael Spivak",
cover = "/home/zack/Dropbox/Library/Michael Spivak/A Comprehensive Introduction to Differential Geometry (568)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Michael Spivak/A Comprehensive Introduction to Differential Geometry (568)/A Comprehensive Introduction to Differenti - Michael Spivak.pdf:PDF",
calibreid = "568",
isbn = "978-09-1409-804-1",
library_name = "Library",
year = "1975",
month = "Feb",
publisher = "Publish or Perish",
volume = "1",
size = "7732652 octets",
tags = "Geometry, Mathematics, Differential, Topology",
timestamp = "2019-02-06",
uuid = "bb3f5029-7a49-48cc-96b7-b1c8aa6b673c",
languages = "eng",
identifiers = "isbn:9780914098041,google:flXvAAAAMAAJ" }
@book{ DouglasC.Ravenel569,
title = "Complex Cobordism and Stable Homotopy Groups of Spheres",
title_sort = "Complex Cobordism and Stable Homotopy Groups of Spheres",
author_sort = "Ravenel, Douglas C.",
author = "Douglas C. Ravenel",
note = "Since the publication of its first edition, this book has served as one of the few available on the classical Adams spectral sequence, and is the best account on the Adams-Novikov spectral sequence. This new edition has been updated in many places, especially the final chapter, which has been completely rewritten with an eye toward future research in the field. It remains the definitive reference on the stable homotopy groups of spheres. The first three chapters introduce the homotopy groups of spheres and take the reader from the classical results in the field though the computational aspects of the classical Adams spectral sequence and its modifications, which are the main tools topologists have to investigate the homotopy groups of spheres. Nowadays, the most efficient tools are the Brown-Peterson theory, the Adams-Novikov spectral sequence, and the chromatic spectral sequence, a device for analyzing the global structure of the stable homotopy groups of spheres and relating them to the cohomology of the Morava stabilizer groups. These topics are described in detail in Chapters 4 to 6. The revamped Chapter 7 is the computational payoff of the book, yielding a lot of information about the stable homotopy group of spheres. Appendices follow, giving self-contained accounts of the theory of formal group laws and the homological algebra associated with Hopf algebras and Hopf algebroids. The book is intended for anyone wishing to study computational stable homotopy theory. It is accessible to graduate students with a knowledge of algebraic topology and recommended to anyone wishing to venture into the frontiers of the subject.
**
",
cover = "/home/zack/Dropbox/Library/Douglas C. Ravenel/Complex Cobordism and Stable Homotopy Groups of Spheres (569)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Douglas C. Ravenel/Complex Cobordism and Stable Homotopy Groups of Spheres (569)/Complex Cobordism and Stable Homotopy Grou - Douglas C. Ravenel.pdf:PDF",
calibreid = "569",
isbn = "978-08-2182-967-7",
library_name = "Library",
year = "2003",
month = "Nov",
publisher = "American Mathematical Soc.",
rating = "10",
volume = "1",
size = "3210354 octets",
tags = "Mathematics, General, Topology",
timestamp = "2019-02-06",
uuid = "11b94652-e37e-4989-8a68-9a404f9879c6",
languages = "eng",
identifiers = "google:19GFAwAAQBAJ,amazon:082182967X,isbn:9780821829677" }
@misc{ JurgenJost570,
title = "Compact Riemann Surfaces: An Introduction",
title_sort = "Compact Riemann Surfaces: An Introduction",
author_sort = "Jost, Jurgen",
author = "Jurgen Jost",
cover = "/home/zack/Dropbox/Library/Jurgen Jost/Compact Riemann Surfaces\_ An Introduction (570)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Jurgen Jost/Compact Riemann Surfaces_ An Introduction (570)/Compact Riemann Surfaces_ An Introduction - Jurgen Jost.pdf:PDF",
calibreid = "570",
library_name = "Library",
year = "2007",
month = "Apr",
volume = "1",
size = "2134336 octets",
timestamp = "2019-02-06",
uuid = "03ea5426-3519-4bfc-8ed6-74bc376dfbd4",
languages = "eng" }
@book{ JamesWardBrown572,
title = "Complex Variables and Applications",
title_sort = "Complex Variables and Applications",
author_sort = "Brown, James Ward \& Churchill, Ruel Vance",
author = "James Ward Brown and Ruel Vance Churchill",
note = "Contents - Complex Numbers; Analytic Functions; Elementary Functions; Integrals; Series; Residues and Poles; Applications of Residues; Mapping by Elementary Functions; Conformal Mapping; Applications of Conformal Mapping; The Schwarz - Christoffel Transformation; Integral Formulas of the Poisson Type.
",
cover = "/home/zack/Dropbox/Library/James Ward Brown/Complex Variables and Applications (572)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/James Ward Brown/Complex Variables and Applications (572)/Complex Variables and Applications - James Ward Brown.pdf:PDF",
calibreid = "572",
isbn = "978-00-7287-252-1",
library_name = "Library",
year = "2004",
month = "Feb",
publisher = "McGraw-Hill Higher Education",
rating = "8",
volume = "1",
size = "18515791 octets",
tags = "Mathematics, functional analysis",
timestamp = "2019-02-06",
uuid = "906a5364-192b-4814-9e9a-736fcf0822cb",
languages = "eng",
identifiers = "google:4vfuAAAAMAAJ,isbn:9780072872521" }
@book{ JohnWillardMilnor573,
title = "Collected Papers of John Milnor: Homotopy, Homology and Manifolds",
title_sort = "Collected Papers of John Milnor: Homotopy, Homology and Manifolds",
author_sort = "Milnor, John Willard",
author = "John Willard Milnor",
cover = "/home/zack/Dropbox/Library/John Willard Milnor/Collected Papers of John Milnor\_ Homotopy, Homology and Manifolds (573)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/John Willard Milnor/Collected Papers of John Milnor_ Homotopy, Homology and Manifolds (573)/Collected Papers of John Milnor_ Homotopy, - John Willard Milnor.pdf:PDF",
calibreid = "573",
isbn = "978-08-2184-475-5",
library_name = "Library",
year = "1994",
month = "Feb",
publisher = "Publish or Perish",
volume = "1",
size = "382737 octets",
tags = "notes",
timestamp = "2019-02-06",
uuid = "b76209a0-6b51-461b-bd92-d705f108f30c",
languages = "eng",
identifiers = "google:V2wpvQEACAAJ,isbn:9780821844755" }
@misc{ WeiyiZhang574,
title = "Cohomology and Poincare Duality",
title_sort = "Cohomology and Poincare Duality",
author_sort = "Zhang, Weiyi",
author = "Weiyi Zhang",
cover = "/home/zack/Dropbox/Library/Weiyi Zhang/Cohomology and Poincare Duality (574)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Weiyi Zhang/Cohomology and Poincare Duality (574)/Cohomology and Poincare Duality - Weiyi Zhang.pdf:PDF",
calibreid = "574",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "465944 octets",
tags = "algebraic topology",
timestamp = "2019-02-06",
uuid = "4b39f7ec-0a78-45cc-bb68-767fd355e14d",
languages = "eng" }
@misc{ JeanPierreSerre575,
title = "Coherent Algebraic Sheaves",
title_sort = "Coherent Algebraic Sheaves",
author_sort = "Serre, Jean Pierre",
author = "Jean Pierre Serre",
cover = "/home/zack/Dropbox/Library/Jean Pierre Serre/Coherent Algebraic Sheaves (575)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Jean Pierre Serre/Coherent Algebraic Sheaves (575)/Coherent Algebraic Sheaves - Jean Pierre Serre.pdf:PDF",
calibreid = "575",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "800386 octets",
timestamp = "2019-02-06",
uuid = "d1235a22-6205-4ffa-bf04-7ec27776d1a0",
languages = "eng" }
@misc{ AlexanderWijins576,
title = "Classification of Fiber Bundles, Gauge Theory, and D-branes",
title_sort = "Classification of Fiber Bundles, Gauge Theory, and D-branes",
author_sort = "Wijins, Alexander",
author = "Alexander Wijins",
cover = "/home/zack/Dropbox/Library/Alexander Wijins/Classification of Fiber Bundles, Gauge Theory, and D-branes (576)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Alexander Wijins/Classification of Fiber Bundles, Gauge Theory, and D-branes (576)/Classification of Fiber Bundles, Gauge The - Alexander Wijins.pdf:PDF",
calibreid = "576",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "555877 octets",
tags = "research, notes",
timestamp = "2019-02-06",
uuid = "09b15be4-1356-4298-9e3a-1b64c2192f03",
languages = "eng" }
@book{ DavidEisenbud577,
title = "Commutative Algebra: With a View Toward Algebraic Geometry",
title_sort = "Commutative Algebra: With a View Toward Algebraic Geometry",
author_sort = "Eisenbud, David \& Eisenbud, Professor David",
author = "David Eisenbud and Professor David Eisenbud",
note = "Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry. The author presents a comprehensive view of commutative algebra, from basics, such as localization and primary decomposition, through dimension theory, differentials, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. Many exercises illustrate and sharpen the theory and extended exercises give the reader an active part in complementing the material presented in the text. One novel feature is a chapter devoted to a quick but thorough treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Applications of the theory and even suggestions for computer algebra projects are included. This book will appeal to readers from beginners to advanced students of commutative algebra or algebraic geometry. To help beginners, the essential ideals from algebraic geometry are treated from scratch. Appendices on homological algebra, multilinear algebra and several other useful topics help to make the book relatively self- contained. Novel results and presentations are scattered throughout the text.
",
cover = "/home/zack/Dropbox/Library/David Eisenbud/Commutative Algebra\_ With a View Toward Algebraic Geometry (577)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/David Eisenbud/Commutative Algebra_ With a View Toward Algebraic Geometry (577)/Commutative Algebra_ With a View Toward Al - David Eisenbud.pdf:PDF",
calibreid = "577",
isbn = "978-03-8794-269-8",
library_name = "Library",
year = "1995",
month = "Mar",
publisher = "Springer Science \& Business Media",
rating = "10",
volume = "1",
size = "43950395 octets",
tags = "Mathematics, Algebra, General, Geometry, Algebraic",
timestamp = "2019-02-06",
uuid = "047c5d57-43c8-4449-841c-147ae37d2b7f",
languages = "eng",
identifiers = "isbn:9780387942698,google:Fm\_yPgZBucMC" }
@book{ JohnRobertTaylor578,
title = "Classical Mechanics",
title_sort = "Classical Mechanics",
author_sort = "Taylor, John Robert",
author = "John Robert Taylor",
note = "John Taylor has brought to his most recent book, ClassicalMechanics, all of the clarity and insight that made his Introduction toError Analysisa best-selling text. ClassicalMechanicsis intended for students who have studied some mechanics in anintroductory physics course, such as {"}freshman physics.{"} With unusual clarity, the book covers most of the topics normally found in books at this level, includingconservation laws, oscillations, Lagrangian mechanics, two-body problems, non-inertial frames, rigid bodies, normal modes, chaos theory,Hamiltonian mechanics, and continuum mechanics. A particular highlight is the chapter on chaos, which focuses on a fewsimple systems, to give a truly comprehensible introduction to theconcepts that we hear so much about. At the end of each chapter is a large selection of interesting problemsfor the student, 744 in all, classified by topic and approximate difficulty, and ranging fromsimple exercises to challenging computer projects. Adopted by more than 450 colleges anduniversities in the USA and Canada and translated into six languages, Taylor's Classical Mechanicsisa thorough and very readable introduction to a subject that is four hundredyears old but as exciting today as ever. Theauthor manages to convey that excitement as well as deep understanding and insight. Ancillaries A detailed Instructors' Manual is available for adopting professors. Art from the book may be downloaded by adopting professors.
",
cover = "/home/zack/Dropbox/Library/John Robert Taylor/Classical Mechanics (578)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/John Robert Taylor/Classical Mechanics (578)/Classical Mechanics - John Robert Taylor.pdf:PDF",
calibreid = "578",
isbn = "978-18-9138-922-1",
library_name = "Library",
year = "2005",
month = "Feb",
publisher = "University Science Books",
volume = "1",
size = "83184011 octets",
tags = "Science, Mechanics, General, physics",
timestamp = "2019-02-06",
uuid = "53d37dcc-f7cd-48ee-b328-cc0900ddbae1",
languages = "eng",
identifiers = "google:P1kCtNr-pJsC,isbn:9781891389221" }
@book{ J.MichaelSteele579,
title = "The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities",
title_sort = "Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities, The",
author_sort = "Steele, J. Michael",
author = "J. Michael Steele",
note = "Michael Steele describes the fundamental topics in mathematical inequalities and their uses. Using the Cauchy-Schwarz inequality as a guide, Steele presents a fascinating collection of problems related to inequalities and coaches readers through solutions in a style reminiscent of George Polya, by teaching basic concepts and sharpening problem solving skills at the same time. Undergraduate and beginning graduate students in mathematics, theoretical computer science, statistics, engineering, and economics will find the book appropriate for self-study, and it can also be used as a supplement to courses in analysis, probability, and combinatorics.
",
cover = "/home/zack/Dropbox/Library/J. Michael Steele/The Cauchy-Schwarz Master Class\_ An Introduction to the Art of Mathematical Inequalities (579)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/J. Michael Steele/The Cauchy-Schwarz Master Class_ An Introduction to the Art of Mathematical Inequalities (579)/The Cauchy-Schwarz Master Class_ An Introd - J. Michael Steele.pdf:PDF",
calibreid = "579",
isbn = "978-05-2154-677-5",
library_name = "Library",
year = "2004",
month = "Apr",
publisher = "Cambridge University Press",
volume = "1",
size = "2629634 octets",
tags = "Calculus, combinatorics, General, History \& Philosophy, Mathematical Analysis, Mathematics, Probability \& Statistics, problems",
timestamp = "2019-02-06",
uuid = "1536d3d5-cdc0-4785-9878-a1c2a4aeeb69",
languages = "eng",
identifiers = "google:7GDyRMrlgDsC,isbn:9780521546775" }
@book{ SteveAwodey581,
title = "Category Theory (Oxford Logic Guides)",
title_sort = "Category Theory (Oxford Logic Guides)",
author_sort = "Awodey, Steve",
author = "Steve Awodey",
note = "Category theory is a branch of abstract algebra with incredibly diverse applications. This text and reference book is aimed not only at mathematicians, but also researchers and students of computer science, logic, linguistics, cognitive science, philosophy, and any of the other fields in which the ideas are being applied. Containing clear definitions of the essential concepts, illuminated with numerous accessible examples, and providing full proofs of all important propositions and theorems, this book aims to make the basic ideas, theorems, and methods of category theory understandable to this broad readership.
Although assuming few mathematical pre-requisites, the standard of mathematical rigour is not compromised. The material covered includes the standard core of categories; functors; natural transformations; equivalence; limits and colimits; functor categories; representables; Yoneda's lemma; adjoints; monads. An extra topic of cartesian closed categories and the lambda-calculus is also provided - a must for computer scientists, logicians and linguists!
This Second Edition contains numerous revisions to the original text, including expanding the exposition, revising and elaborating the proofs, providing additional diagrams, correcting typographical errors and, finally, adding an entirely new section on monoidal categories. Nearly a hundred new exercises have also been added, many with solutions, to make the book more useful as a course text and for self-study.
**
",
cover = "/home/zack/Dropbox/Library/Steve Awodey/Category Theory (Oxford Logic Guides) (581)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Steve Awodey/Category Theory (Oxford Logic Guides) (581)/Category Theory (Oxford Logic Guides) - Steve Awodey.pdf:PDF",
calibreid = "581",
isbn = "978-01-9923-718-0",
library_name = "Library",
year = "2010",
month = "Aug",
publisher = "Oxford University Press",
volume = "1",
size = "1062654 octets",
timestamp = "2019-02-06",
uuid = "267bee7e-6994-45d8-8750-2653bd3500e4",
languages = "eng",
identifiers = "amazon:0199237182,isbn:9780199237180" }
@book{ SaundersMacLane582,
title = "Categories for the Working Mathematician",
title_sort = "Categories for the Working Mathematician",
author_sort = "Lane, Saunders Mac",
author = "Saunders Mac Lane",
note = "Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterized by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including two new chapters on topics of active interest. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into prominence. The bibliography has also been expanded to cover some of the many other recent advances concerning categories.
",
cover = "/home/zack/Dropbox/Library/Saunders Mac Lane/Categories for the Working Mathematician (582)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Saunders Mac Lane/Categories for the Working Mathematician (582)/Categories for the Working Mathematician - Saunders Mac Lane.pdf:PDF",
calibreid = "582",
isbn = "978-03-8798-403-2",
library_name = "Library",
year = "1998",
month = "Sep",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "1181691 octets",
tags = "Geometry, Algebra, Abstract, General, Algebraic, Logic, Mathematics, Topology",
timestamp = "2019-02-06",
uuid = "b529f3e6-0230-40ee-9c16-f5743e35a710",
languages = "eng",
identifiers = "amazon:0387984038,isbn:9780387984032,google:MXboNPdTv7QC" }
@book{ KennethIreland583,
title = "A Classical Introduction to Modern Number Theory",
title_sort = "Classical Introduction to Modern Number Theory, A",
author_sort = "Ireland, Kenneth \& Rosen, Michael",
author = "Kenneth Ireland and Michael Rosen",
note = "Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves.
",
cover = "/home/zack/Dropbox/Library/Kenneth Ireland/A Classical Introduction to Modern Number Theory (583)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Kenneth Ireland/A Classical Introduction to Modern Number Theory (583)/A Classical Introduction to Modern Number - Kenneth Ireland.pdf:PDF",
calibreid = "583",
isbn = "978-14-7572-103-4",
library_name = "Library",
year = "2013",
month = "Apr",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "31739940 octets",
tags = "Probability \& Statistics, textbook, number theory, Stochastic Processes, Mathematics",
timestamp = "2019-02-06",
uuid = "33a3e474-f9c2-4048-a8d0-c4acca6b5865",
languages = "eng",
identifiers = "isbn:9781475721034,google:HlHuBwAAQBAJ" }
@book{ JamesStewart584,
title = "Calculus: Student Solutions Manual",
title_sort = "Calculus: Student Solutions Manual",
author_sort = "Stewart, James",
author = "James Stewart",
note = "James Stewart has carefully and completely revised the best-selling calculus text in North America, retaining the focus on problem solving, the meticulous accuracy, the patient explanations, and the carefully graded problems that have made this text work so well for a wide range of students. In the new edition, Stewart has increased his emphasis on technology and innovation and has expanded his focus on problem-solving and applications. When writing his previous editions, Stewart set out to bring some of the spirit of Polya to his presentation. This resulted in the ''strategy sections'' in the First Edition and the ''Problems Plus'' and ''Applications Plus'' sections in the Second Edition. Now in the Third Edition, he extends the idea further with a new section on ''Principles of Problem Solving'' and new extended examples in the ''Problems Plus''and ''Applications Plus'' sections. Stewart makes a serious attempt to help students reason mathematically.
",
cover = "/home/zack/Dropbox/Library/James Stewart/Calculus\_ Student Solutions Manual (584)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/James Stewart/Calculus_ Student Solutions Manual (584)/Calculus_ Student Solutions Manual - James Stewart.pdf:PDF",
calibreid = "584",
isbn = "978-05-3421-802-7",
library_name = "Library",
year = "1995",
month = "Feb",
publisher = "Brooks/Cole Pub. Co.",
volume = "1",
size = "23867964 octets",
tags = "Calculus, Mathematics, solutions, textbook, problems",
timestamp = "2019-02-06",
uuid = "5e5dfa4e-7eb2-4401-962c-bdf83e1172bb",
languages = "eng",
identifiers = "google:dZHDtgEACAAJ,isbn:9780534218027" }
@book{ TomM.Apostol585,
title = "Calculus, Vol. 1: One-Variable Calculus With an Introduction to Linear Algebra (Second Edition) (Volume 1)",
title_sort = "Calculus, Vol. 1: One-Variable Calculus With an Introduction to Linear Algebra (Second Edition) (Volume 1)",
author_sort = "Apostol, Tom M.",
author = "Tom M. Apostol",
cover = "/home/zack/Dropbox/Library/Tom M. Apostol/Calculus, Vol. 1\_ One-Variable Calculus With an Introduction to Linear Algebra (Second Edition) (585)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Tom M. Apostol/Calculus, Vol. 1_ One-Variable Calculus With an Introduction to Linear Algebra (Second Edition) (585)/Calculus, Vol. 1_ One-Variable Calculus Wi - Tom M. Apostol.pdf:PDF",
calibreid = "585",
isbn = "978-99-7151-396-2",
library_name = "Library",
year = "1967",
month = "Feb",
publisher = "TBS",
rating = "8",
volume = "1",
size = "20170389 octets",
timestamp = "2019-02-06",
uuid = "ec7c843e-6c9d-4585-91c6-8cf8e9dbbad4",
languages = "eng",
identifiers = "amazon:997151396X,isbn:9789971513962" }
@book{ JamesStewart586,
title = "Calculus",
title_sort = "Calculus",
author_sort = "Stewart, James",
author = "James Stewart",
note = "James Stewart's CALCULUS texts are widely renowned for their mathematical precision and accuracy, clarity of exposition, and outstanding examples and problem sets. Millions of students worldwide have explored calculus through Stewart's trademark style, while instructors have turned to his approach time and time again. In the Seventh Edition of CALCULUS, Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart's texts best-sellers continue to provide a strong foundation for the Seventh Edition. From the most unprepared student to the most mathematically gifted, Stewart's writing and presentation serve to enhance understanding and build confidence.Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
",
cover = "/home/zack/Dropbox/Library/James Stewart/Calculus (586)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/James Stewart/Calculus (586)/Calculus - James Stewart.pdf:PDF",
calibreid = "586",
isbn = "978-05-3849-781-7",
library_name = "Library",
year = "2011",
month = "Jan",
publisher = "Cengage Learning",
volume = "1",
size = "22574628 octets",
tags = "Calculus, Mathematics, textbook, General",
timestamp = "2019-02-06",
uuid = "0e475e12-ae09-4ec5-8478-70ea939d06a3",
languages = "eng",
identifiers = "isbn:9780538497817,google:AavjDHGwGpIC" }
@book{ MarkGross587,
title = "Calabi-Yau Manifolds and Related Geometries: Lectures at a Summer School in Nordfjordeid, Norway, June 2001",
title_sort = "Calabi-Yau Manifolds and Related Geometries: Lectures at a Summer School in Nordfjordeid, Norway, June 2001",
author_sort = "Gross, Mark \& Huybrechts, Daniel \& Joyce, Dominic",
author = "Mark Gross and Daniel Huybrechts and Dominic Joyce",
note = "This is an introduction to a very active field of research, on the boundary between mathematics and physics. It is aimed at graduate students and researchers in geometry and string theory. Proofs or sketches are given for many important results. From the reviews: {"}An excellent introduction to current research in the geometry of Calabi-Yau manifolds, hyper-Kähler manifolds, exceptional holonomy and mirror symmetry....This is an excellent and useful book.{"} --MATHEMATICAL REVIEWS
",
cover = "/home/zack/Dropbox/Library/Mark Gross/Calabi-Yau Manifolds and Related Geometries\_ Lectures at a Summer School in Nordfjordeid, Norwa (587)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Mark Gross/Calabi-Yau Manifolds and Related Geometries_ Lectures at a Summer School in Nordfjordeid, Norwa (587)/Calabi-Yau Manifolds and Related Geometrie - Mark Gross.pdf:PDF",
calibreid = "587",
isbn = "978-36-4219-004-9",
library_name = "Library",
year = "2012",
month = "Dec",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "3024408 octets",
tags = "Mathematics, Geometry, Differential, Algebraic, Topology, General",
timestamp = "2019-02-06",
uuid = "8389d432-cdc4-4f09-ad88-09e4385d2d23",
languages = "eng",
identifiers = "isbn:9783642190049,google:FFQOBwAAQBAJ" }
@book{ MichaelSpivak588,
title = "Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus",
title_sort = "Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus",
author_sort = "Spivak, Michael",
author = "Michael Spivak",
note = "This little book is especially concerned with those portions of ?advanced calculus? in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.
",
cover = "/home/zack/Dropbox/Library/Michael Spivak/Calculus on Manifolds\_ A Modern Approach to Classical Theorems of Advanced Calculus (588)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Michael Spivak/Calculus on Manifolds_ A Modern Approach to Classical Theorems of Advanced Calculus (588)/Calculus on Manifolds_ A Modern Approach t - Michael Spivak.pdf:PDF",
calibreid = "588",
isbn = "978-04-2997-045-0",
library_name = "Library",
year = "2018",
month = "May",
publisher = "CRC Press",
volume = "1",
size = "7875421 octets",
tags = "Mathematics, General",
timestamp = "2019-02-06",
uuid = "f18c8a9e-89aa-4962-a0d9-518318f1cb30",
languages = "eng",
identifiers = "isbn:9780429970450,google:C0paDwAAQBAJ" }
@book{ GeorgeM.Bergman589,
title = "An Invitation to General Algebra and Universal Constructions",
title_sort = "Invitation to General Algebra and Universal Constructions, An",
author_sort = "Bergman, George M.",
author = "George M. Bergman",
note = "Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.
**
\#\#\# Review
“The aim of this book is to survey the basic notions and results of general algebra; also, it is a detailed and self-contained introduction to general algebra from the point of view of categories and functors. … The author takes care in writing full proofs throughout the book and he shows also ways of possible applications. The text contains a wealth material and should serve as a textbook for readers interested in this field.” (Danica Jakubíková-Studenovská, zbMATH 1317.08001, 2015)
\#\#\# From the Back Cover
Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.
",
cover = "/home/zack/Dropbox/Library/George M. Bergman/An Invitation to General Algebra and Universal Constructions (589)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/George M. Bergman/An Invitation to General Algebra and Universal Constructions (589)/An Invitation to General Algebra and Unive - George M. Bergman.pdf:PDF",
calibreid = "589",
isbn = "978-33-1911-478-1",
library_name = "Library",
year = "2015",
month = "Feb",
publisher = "Springer",
volume = "1",
size = "4698249 octets",
tags = "Algebra, Abstract, textbook, General, Mathematics, History \& Philosophy",
timestamp = "2019-02-06",
uuid = "00bb88a4-57a7-4119-8286-d2ba600ec776",
languages = "eng",
identifiers = "google:9UGMBgAAQBAJ,amazon:B00TCRC9T2,isbn:9783319114781" }
@book{ CharlesCPinter590,
title = "A Book of Abstract Algebra: Second Edition",
title_sort = "Book of Abstract Algebra: Second Edition, A",
author_sort = "Pinter, Charles C",
author = "Charles C Pinter",
note = "Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. Intended for undergraduate courses in abstract algebra, it is suitable for junior- and senior-level math majors and future math teachers. This second edition features additional exercises to improve student familiarity with applications. An introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definition-theorem-proof-corollary-example; instead, they take the form of a discussion with students, focusing on explanations and offering motivation. Each chapter rests upon a central theme, usually a specific application or use. The author provides elementary background as needed and discusses standard topics in their usual order. He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability.
",
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calibreid = "590",
isbn = "978-04-8647-417-5",
library_name = "Library",
year = "2010",
month = "Jan",
publisher = "Courier Corporation",
volume = "1",
size = "19901776 octets",
tags = "Mathematics, Algebra, Abstract",
timestamp = "2019-02-06",
uuid = "f7f7d948-0d0a-4262-b68c-dfcba1da0fc7",
languages = "eng",
identifiers = "isbn:9780486474175,google:ZAo\_AwAAQBAJ" }
@misc{ SilvaSouza591,
title = "Berkeley Problems in Mathematics",
title_sort = "Berkeley Problems in Mathematics",
author_sort = "Souza, Silva",
author = "Silva Souza",
cover = "/home/zack/Dropbox/Library/Silva Souza/Berkeley Problems in Mathematics (591)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Silva Souza/Berkeley Problems in Mathematics (591)/Berkeley Problems in Mathematics - Silva Souza.pdf:PDF",
calibreid = "591",
library_name = "Library",
year = "2001",
month = "Jan",
volume = "1",
size = "15481330 octets",
tags = "problems",
timestamp = "2019-02-06",
uuid = "f3f3b715-e805-4dc9-984c-54aba59db896",
languages = "eng" }
@book{ MarcelBerger592,
title = "Geometry I",
title_sort = "Geometry I",
author_sort = "Berger, Marcel",
author = "Marcel Berger",
note = "Volume I of this 2-volume textbook provides a lively and readable presentation of large parts of classical geometry. For each topic the author presents an esthetically pleasing and easily stated theorem - although the proof may be difficult and concealed. The mathematical text is illustrated with figures, open problems and references to modern literature, providing a unified reference to geometry in the full breadth of its subfields and ramifications.
**
",
cover = "/home/zack/Dropbox/Library/Marcel Berger/Geometry I (592)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Marcel Berger/Geometry I (592)/Geometry I - Marcel Berger.pdf:PDF",
calibreid = "592",
isbn = "978-35-4011-658-5",
library_name = "Library",
year = "2009",
month = "Jan",
publisher = "Springer",
rating = "8",
volume = "1",
size = "24593563 octets",
tags = "Geometry, Mathematics, General, textbook",
timestamp = "2019-02-06",
uuid = "95b88175-8cfe-4f6c-acc4-f05fc3aee300",
languages = "eng",
identifiers = "google:5W6cnfQegYcC,isbn:9783540116585,amazon:3540116583" }
@book{ JohnA.Beachy594,
title = "Abstract Algebra: Third Edition",
title_sort = "Abstract Algebra: Third Edition",
author_sort = "Beachy, John A. \& Blair, William D.",
author = "John A. Beachy and William D. Blair",
note = "Highly regarded by instructors in past editions for its sequencing of topics as well as its concrete approach, slightly slower beginning pace, and extensive set of exercises, the latest edition of Abstract Algebra extends the thrust of the widely used earlier editions as it introduces modern abstract concepts only after a careful study of important examples. Beachy and Blairs clear narrative presentation responds to the needs of inexperienced students who stumble over proof writing, who understand definitions and theorems but cannot do the problems, and who want more examples that tie into their previous experience. The authors introduce chapters by indicating why the material is important and, at the same time, relating the new material to things from the students background and linking the subject matter of the chapter to the broader picture.Instructors will find the latest edition pitched at a suitable level of difficulty and will appreciate its gradual increase in the level of sophistication as the student progresses through the book. Rather than inserting superficial applications at the expense of important mathematical concepts, the Beachy and Blair solid, well-organized treatment motivates the subject with concrete problems from areas that students have previously encountered, namely, the integers and polynomials over the real numbers.Supplementary material for instructors and students available on the books Web site: www.math.niu.edu/{\char`\~}beachy/abstract\_algebra/
",
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formats = "pdf",
file = ":/home/zack/Dropbox/Library/John A. Beachy/Abstract Algebra_ Third Edition (594)/Abstract Algebra_ Third Edition - John A. Beachy.pdf:PDF",
calibreid = "594",
isbn = "978-14-7860-799-1",
library_name = "Library",
year = "2006",
month = "Jan",
publisher = "Waveland Press",
rating = "8",
volume = "1",
size = "5059569 octets",
tags = "Mathematics, Algebra, Abstract",
timestamp = "2019-02-06",
uuid = "8ba2e4cf-f765-4d5a-8d30-939330bee6e6",
languages = "eng",
identifiers = "isbn:9781478607991,google:baEQAAAAQBAJ" }
@book{ M.A.Armstrong595,
title = "Basic Topology",
title_sort = "Basic Topology",
author_sort = "Armstrong, M. A.",
author = "M. A. Armstrong",
note = "In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for calculating them. Students with knowledge of real analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology. Over 139 illustrations and more than 350 problems of various difficulties will help students gain a rounded understanding of the subject.
",
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file = ":/home/zack/Dropbox/Library/M. A. Armstrong/Basic Topology (595)/Basic Topology - M. A. Armstrong.pdf:PDF",
calibreid = "595",
isbn = "978-14-7571-793-8",
library_name = "Library",
year = "2013",
month = "Apr",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "27745516 octets",
tags = "Geometry, Mathematics, Topology, General",
timestamp = "2019-02-06",
uuid = "110f219f-80c8-4af6-a40a-45c583a138ac",
languages = "eng",
identifiers = "google:NJbuBwAAQBAJ,isbn:9781475717938" }
@book{ TomM.Apostol596,
title = "Calculus: Multi-Variable Calculus and Linear Algebra, With Applications to Differential Equations and Probability",
title_sort = "Calculus: Multi-Variable Calculus and Linear Algebra, With Applications to Differential Equations and Probability",
author_sort = "Apostol, Tom M.",
author = "Tom M. Apostol",
note = "An introduction to the calculus, with an excellent balance between theory and technique. Integration is treated before differentiation -- this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.
**
",
cover = "/home/zack/Dropbox/Library/Tom M. Apostol/Calculus\_ Multi-Variable Calculus and Linear Algebra, With Applications to Differential Equatio (596)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Tom M. Apostol/Calculus_ Multi-Variable Calculus and Linear Algebra, With Applications to Differential Equatio (596)/Calculus_ Multi-Variable Calculus and Line - Tom M. Apostol.pdf:PDF",
calibreid = "596",
isbn = "978-04-7100-007-5",
library_name = "Library",
year = "1969",
month = "Feb",
publisher = "Wiley",
rating = "8",
volume = "1",
size = "9690514 octets",
tags = "Calculus, Câalculo, textbook, Mathematical Analysis, Mathematics, General",
timestamp = "2019-02-06",
uuid = "fca8d736-62c4-4a98-859e-d36c28c93d72",
languages = "eng",
identifiers = "google:TLUdAQAAMAAJ,amazon:0471000078,isbn:9780471000075" }
@book{ JerroldE.Marsden597,
title = "Basic Complex Analysis",
title_sort = "Basic Complex Analysis",
author_sort = "Marsden, Jerrold E. \& Hoffman, Michael J.",
author = "Jerrold E. Marsden and Michael J. Hoffman",
note = "Basic Complex Analysis skillfully combines a clear exposition of core theory with a rich variety of applications. Designed for undergraduates in mathematics, the physical sciences, and engineering who have completed two years of calculus and are taking complex analysis for the first time..
",
cover = "/home/zack/Dropbox/Library/Jerrold E. Marsden/Basic Complex Analysis (597)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Jerrold E. Marsden/Basic Complex Analysis (597)/Basic Complex Analysis - Jerrold E. Marsden.pdf:PDF",
calibreid = "597",
isbn = "978-07-1672-877-1",
library_name = "Library",
year = "1999",
month = "Feb",
publisher = "Macmillan",
volume = "1",
size = "61499339 octets",
tags = "New, General, Mathematical Analysis, Mathematics",
timestamp = "2019-02-06",
uuid = "2b455bfa-8445-419f-a22f-f92c1ea1305b",
languages = "eng",
identifiers = "google:Z26tKIymJjMC,isbn:9780716728771" }
@book{ ThomasA.Garrity598,
title = "All the Mathematics You Missed: But Need to Know for Graduate School",
title_sort = "All the Mathematics You Missed: But Need to Know for Graduate School",
author_sort = "Garrity, Thomas A.",
author = "Thomas A. Garrity",
cover = "/home/zack/Dropbox/Library/Thomas A. Garrity/All the Mathematics You Missed\_ But Need to Know for Graduate School (598)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Thomas A. Garrity/All the Mathematics You Missed_ But Need to Know for Graduate School (598)/All the Mathematics You Missed_ But Need t - Thomas A. Garrity.pdf:PDF",
calibreid = "598",
isbn = "978-73-0209-085-4",
library_name = "Library",
year = "2004",
month = "Feb",
publisher = "清华大学出版社有限公司",
volume = "1",
size = "12926006 octets",
timestamp = "2019-02-06",
uuid = "a8617c41-9220-4eb5-b433-034a6e33f9d7",
languages = "eng",
identifiers = "isbn:9787302090854,google:hxSqG1WIJt4C" }
@book{ JamesR.Munkres599,
title = "Analysis on Manifolds",
title_sort = "Analysis on Manifolds",
author_sort = "Munkres, James R.",
author = "James R. Munkres",
cover = "/home/zack/Dropbox/Library/James R. Munkres/Analysis on Manifolds (599)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/James R. Munkres/Analysis on Manifolds (599)/Analysis on Manifolds - James R. Munkres.pdf:PDF",
calibreid = "599",
isbn = "978-02-0151-035-5",
library_name = "Library",
year = "1991",
month = "Feb",
publisher = "Addison-Wesley Publishing Company, Advanced Book Program",
volume = "1",
size = "15862716 octets",
tags = "Geometry, Differential, General, Mathematics, Mathematical Analysis, Topology",
timestamp = "2019-02-06",
uuid = "b2fd2560-5392-42e8-94bc-179387f22683",
languages = "eng",
identifiers = "google:logpAQAAMAAJ,isbn:9780201510355" }
@misc{ DonaldKnuth600,
title = "The Art of Computer Programming | Vol 1-3 Boxed Set",
title_sort = "Art of Computer Programming | Vol 1-3 Boxed Set, The",
author_sort = "Knuth, Donald",
author = "Donald Knuth",
cover = "/home/zack/Dropbox/Library/Donald Knuth/The Art of Computer Programming \_ Vol 1-3 Boxed Set (600)/cover.jpg",
calibreid = "600",
library_name = "Library",
year = "2005",
month = "Oct",
volume = "1",
size = "152125874 octets",
tags = "http://namdatviet.com",
timestamp = "2019-02-06",
uuid = "25eb0023-61e3-473b-9a2d-5d8c14013841",
languages = "eng" }
@book{ MichaelArtin601,
title = "Algebra",
title_sort = "Algebra",
author_sort = "Artin, Michael",
author = "Michael Artin",
note = "This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book.
**Algebra, Second Edition** , by Michael Artin, provides comprehensive coverage at the level of an honors-undergraduate or introductory-graduate course. The second edition of this classic text incorporates twenty years of feedback plus the author’s own teaching experience. This book discusses concrete topics of algebra in greater detail than others, preparing readers for the more abstract concepts; linear algebra is tightly integrated throughout.
**
\#\#\# From the Back Cover
Algebra, Second Edition, by Michael Artin, provides comprehensive coverage at the level of an honors-undergraduate or introductory-graduate course. The second edition of this classic text incorporates twenty years of feedback plus the author's own teaching experience. This book discusses concrete topics of algebra in greater detail than others, preparing readers for the more abstract concepts; linear algebra is tightly integrated throughout.
\#\#\# About the Author
**Michael Artin** received his A.B. from Princeton University in 1955, and his M.A. and Ph.D. from Harvard University in 1956 and 1960, respectively. He continued at Harvard as Benjamin Peirce Lecturer, 1960—63. He joined the MIT mathematics faculty in 1963, and was appointed Norbert Wiener Professor from 1988—93. Outside MIT, Artin served as President of the American Mathematical Society from 1990-92. He has received honorary doctorate degrees from the University of Antwerp and University of Hamburg.
Professor Artin is an algebraic geometer, concentrating on non-commutative algebra. He has received many awards throughout his distinguished career, including the Undergraduate Teaching Prize and the Educational and Graduate Advising Award. He received the Leroy P. Steele Prize for Lifetime Achievement from the AMS. In 2005 he was honored with the Harvard Graduate School of Arts \& Sciences Centennial Medal, for being {"}an architect of the modern approach to algebraic geometry.{"} Professor Artin is a Member of the National Academy of Sciences, Fellow of the American Academy of Arts \& Sciences, Fellow of the American Association for the Advancement of Science, and Fellow of the Society of Industrial and Applied Mathematics. He is a Foreign Member of the Royal Holland Society of Sciences, and Honorary Member of the Moscow Mathematical Society.
",
cover = "/home/zack/Dropbox/Library/Michael Artin/Algebra (601)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Michael Artin/Algebra (601)/Algebra - Michael Artin.pdf:PDF",
calibreid = "601",
isbn = "978-03-2199-803-3",
library_name = "Library",
year = "2014",
month = "Jan",
publisher = "Pearson",
volume = "1",
size = "55883963 octets",
tags = "Mathematics, General, textbook, Algebra",
timestamp = "2019-02-06",
uuid = "a166521d-eb33-43ad-b825-92ecf2753544",
languages = "eng",
identifiers = "amazon:B00HR7MSZO,google:\_p7oAgAAQBAJ,isbn:9780321998033" }
@book{ RobertM.Switzer602,
title = "Algebraic Topology - Homotopy and Homology",
title_sort = "Algebraic Topology - Homotopy and Homology",
author_sort = "Switzer, Robert M.",
author = "Robert M. Switzer",
note = "From the reviews:{"}The author has attempted an ambitious and most commendable project. He assumes only a modest knowledge of algebraic topology on the part of the reader to start with, and he leads the reader systematically to the point at which he can begin to tackle problems in the current areas of research centered around generalized homology theories and their applications. ... The author has sought to make his treatment complete and he has succeeded. The book contains much material that has not previously appeared in this format. The writing is clean and clear and the exposition is well motivated. ... This book is, all in all, a very admirable work and a valuable addition to the literature...(S.Y. Husseini in Mathematical Reviews, 1976)
",
cover = "/home/zack/Dropbox/Library/Robert M. Switzer/Algebraic Topology - Homotopy and Homology (602)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Robert M. Switzer/Algebraic Topology - Homotopy and Homology (602)/Algebraic Topology - Homotopy and Homology - Robert M. Switzer.pdf:PDF",
calibreid = "602",
isbn = "978-36-4261-923-6",
library_name = "Library",
year = "2017",
month = "Dec",
publisher = "Springer",
volume = "1",
size = "32421736 octets",
tags = "Mathematics, Topology, Geometry, General",
timestamp = "2019-02-06",
uuid = "adb60d13-a8a8-4e62-b5da-850f01827429",
languages = "eng",
identifiers = "isbn:9783642619236,google:P\_JdDwAAQBAJ" }
@book{ J.S.Milne603,
title = "Algebraic Number Theory",
title_sort = "Algebraic Number Theory",
author_sort = "Milne, J. S.",
author = "J. S. Milne",
cover = "/home/zack/Dropbox/Library/J. S. Milne/Algebraic Number Theory (603)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/J. S. Milne/Algebraic Number Theory (603)/Algebraic Number Theory - J. S. Milne.pdf:PDF",
calibreid = "603",
library_name = "Library",
year = "2008",
month = "Feb",
publisher = "J.S. Milne",
volume = "1",
size = "1043375 octets",
tags = "textbook, number theory",
timestamp = "2019-02-06",
uuid = "dcf17d98-668b-4be2-a000-f9ca3eb999f6",
languages = "eng",
identifiers = "google:VBOGAQAACAAJ" }
@misc{ MatthewBaker604,
title = "Algebraic Number Theory Course Notes",
title_sort = "Algebraic Number Theory Course Notes",
author_sort = "Baker, Matthew",
author = "Matthew Baker",
cover = "/home/zack/Dropbox/Library/Matthew Baker/Algebraic Number Theory Course Notes (604)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Matthew Baker/Algebraic Number Theory Course Notes (604)/Algebraic Number Theory Course Notes - Matthew Baker.pdf:PDF",
calibreid = "604",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "991205 octets",
timestamp = "2019-02-06",
uuid = "b28c31e8-491b-450a-9707-ca1b24002c38",
languages = "eng" }
@book{ JurgenNeukirch605,
title = "Algebraic Number Theory",
title_sort = "Algebraic Number Theory",
author_sort = "Neukirch, Jürgen",
author = "Jürgen Neukirch",
note = "From the review: {"}The present book has as its aim to resolve a discrepancy in the textbook literature and ... to provide a comprehensive introduction to algebraic number theory which is largely based on the modern, unifying conception of (one-dimensional) arithmetic algebraic geometry. ... Despite this exacting program, the book remains an introduction to algebraic number theory for the beginner... The author discusses the classical concepts from the viewpoint of Arakelov theory.... The treatment of class field theory is ... particularly rich in illustrating complements, hints for further study, and concrete examples.... The concluding chapter VII on zeta-functions and L-series is another outstanding advantage of the present textbook.... The book is, without any doubt, the most up-to-date, systematic, and theoretically comprehensive textbook on algebraic number field theory available.{"} W. Kleinert in: Zentralblatt für Mathematik, 1992
",
cover = "/home/zack/Dropbox/Library/Jurgen Neukirch/Algebraic Number Theory (605)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Jurgen Neukirch/Algebraic Number Theory (605)/Algebraic Number Theory - Jurgen Neukirch.pdf:PDF",
calibreid = "605",
isbn = "978-36-6203-983-0",
library_name = "Library",
year = "2013",
month = "Mar",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "41434308 octets",
tags = "Probability \& Statistics, textbook, number theory, Stochastic Processes, Mathematics",
timestamp = "2019-02-06",
uuid = "59eb710d-42e7-44ea-90fc-0023567867b9",
languages = "eng",
identifiers = "google:hS3qCAAAQBAJ,isbn:9783662039830" }
@book{ JoeHarris606,
title = "Algebraic Geometry: A First Course",
title_sort = "Algebraic Geometry: A First Course",
author_sort = "Harris, Joe",
author = "Joe Harris",
note = "This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988. It is intended to be, as the title suggests, a first introduction to the subject. Even so, a few words are in order about the purposes of the book. Algebraic geometry has developed tremendously over the last century. During the 19th century, the subject was practiced on a relatively concrete, down-to-earth level; the main objects of study were projective varieties, and the techniques for the most part were grounded in geometric constructions. This approach flourished during the middle of the century and reached its culmination in the work of the Italian school around the end of the 19th and the beginning of the 20th centuries. Ultimately, the subject was pushed beyond the limits of its foundations: by the end of its period the Italian school had progressed to the point where the language and techniques of the subject could no longer serve to express or carry out the ideas of its best practitioners.
",
cover = "/home/zack/Dropbox/Library/Joe Harris/Algebraic Geometry\_ A First Course (606)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Joe Harris/Algebraic Geometry_ A First Course (606)/Algebraic Geometry_ A First Course - Joe Harris.pdf:PDF",
calibreid = "606",
isbn = "978-14-7572-189-8",
library_name = "Library",
year = "2013",
month = "Nov",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "30489110 octets",
tags = "Mathematics, Geometry, Algebraic, Algebra, General",
timestamp = "2019-02-06",
uuid = "349de4b1-d216-445d-ab74-58953c41db8c",
languages = "eng",
identifiers = "google:U-UlBQAAQBAJ,isbn:9781475721898" }
@misc{ RobinHartshorne607,
title = "Algebraic Geometry",
title_sort = "Algebraic Geometry",
author_sort = "Hartshorne, Robin",
author = "Robin Hartshorne",
cover = "/home/zack/Dropbox/Library/Robin Hartshorne/Algebraic Geometry (607)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Robin Hartshorne/Algebraic Geometry (607)/Algebraic Geometry - Robin Hartshorne.pdf:PDF",
calibreid = "607",
library_name = "Library",
year = "100",
month = "Dec",
rating = "10",
volume = "1",
size = "32225648 octets",
tags = "textbook, algebraic geometry",
timestamp = "2019-02-06",
uuid = "285ee6d9-7748-4e6e-921f-5addfe1f760e",
languages = "eng" }
@book{ RichardStanley608,
title = "Algebraic Combinatorics: Walks, Trees, Tableaux, and More",
title_sort = "Algebraic Combinatorics: Walks, Trees, Tableaux, and More",
author_sort = "Stanley, Richard",
author = "Richard Stanley",
note = "Written by one of the foremost experts in the field, Algebraic Combinatorics is a unique undergraduate textbook that will prepare the next generation of pure and applied mathematicians. The combination of the author’s extensive knowledge of combinatorics and classical and practical tools from algebra will inspire motivated students to delve deeply into the fascinating interplay between algebra and combinatorics. Readers will be able to apply their newfound knowledge to mathematical, engineering, and business models. The text is primarily intended for use in a one-semester advanced undergraduate course in algebraic combinatorics, enumerative combinatorics, or graph theory. Prerequisites include a basic knowledge of linear algebra over a field, existence of finite fields, and group theory. The topics in each chapter build on one another and include extensive problem sets as well as hints to selected exercises. Key topics include walks on graphs, cubes and the Radon transform, the Matrix–Tree Theorem, and the Sperner property. There are also three appendices on purely enumerative aspects of combinatorics related to the chapter material: the RSK algorithm, plane partitions, and the enumeration of labeled trees. Richard Stanley is currently professor of Applied Mathematics at the Massachusetts Institute of Technology. Stanley has received several awards including the George Polya Prize in applied combinatorics, the Guggenheim Fellowship, and the Leroy P. Steele Prize for mathematical exposition. Also by the author: Combinatorics and Commutative Algebra, Second Edition, © Birkhauser.
",
cover = "/home/zack/Dropbox/Library/Richard Stanley/Algebraic Combinatorics\_ Walks, Trees, Tableaux, and More (608)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Richard Stanley/Algebraic Combinatorics_ Walks, Trees, Tableaux, and More (608)/Algebraic Combinatorics_ Walks, Trees, Tab - Richard Stanley.pdf:PDF",
calibreid = "608",
isbn = "978-14-6146-998-8",
library_name = "Library",
year = "2013",
month = "Jun",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "2216532 octets",
tags = "Mathematics, combinatorics, Graphic Methods, General",
timestamp = "2019-02-06",
uuid = "6b510dfb-efc1-4444-9a7e-ab462dc41b59",
languages = "eng",
identifiers = "isbn:9781461469988,google:\_Tc\_AAAAQBAJ" }
@book{ AllenHatcher609,
title = "Algebraic Topology",
title_sort = "Algebraic Topology",
author_sort = "Hatcher, Allen",
author = "Allen Hatcher",
note = "In most mathematics departments at major universities one of the three or four basic first-year graduate courses is in the subject of algebraic topology. This introductory textbook in algebraic topology is suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises. The four main chapters present the basic material of the subject: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature of the book is the inclusion of many optional topics which are not usually part of a first course due to time constraints, and for which elementary expositions are sometimes hard to find. Among these are: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and a full exposition of Steenrod squares and powers. Researchers will also welcome this aspect of the book.
",
cover = "/home/zack/Dropbox/Library/Allen Hatcher/Algebraic Topology (609)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Allen Hatcher/Algebraic Topology (609)/Algebraic Topology - Allen Hatcher.pdf:PDF",
calibreid = "609",
isbn = "978-05-2179-540-1",
library_name = "Library",
year = "2002",
month = "Feb",
publisher = "Cambridge University Press",
rating = "10",
volume = "1",
size = "8051279 octets",
tags = "Topology, Geometry, textbook, research, Algebraic, Mathematics, General, algebraic topology",
timestamp = "2019-02-06",
uuid = "453fdc82-b902-496c-b419-00ae3c19fa49",
languages = "eng",
identifiers = "isbn:9780521795401,google:BjKs86kosqgC" }
@misc{ Ahlfors610,
title = "Complex Analysis",
title_sort = "Complex Analysis",
author_sort = "Ahlfors",
author = "Ahlfors",
cover = "/home/zack/Dropbox/Library/Ahlfors/Complex Analysis (610)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Ahlfors/Complex Analysis (610)/Complex Analysis - Ahlfors.pdf:PDF",
calibreid = "610",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "14830743 octets",
timestamp = "2019-02-06",
uuid = "46ae8567-73fa-404e-b32e-6f0a7b917078",
languages = "eng" }
@book{ PaoloAluffi611,
title = "Algebra: Chapter 0",
title_sort = "Algebra: Chapter 0",
author_sort = "Aluffi, Paolo",
author = "Paolo Aluffi",
note = "Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.
",
cover = "/home/zack/Dropbox/Library/Paolo Aluffi/Algebra\_ Chapter 0 (611)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Paolo Aluffi/Algebra_ Chapter 0 (611)/Algebra_ Chapter 0 - Paolo Aluffi.pdf:PDF",
calibreid = "611",
isbn = "978-08-2184-781-7",
library_name = "Library",
year = "2009",
month = "Feb",
publisher = "American Mathematical Soc.",
rating = "6",
volume = "1",
size = "57050289 octets",
tags = "textbook, Algebra",
timestamp = "2019-02-06",
uuid = "74c825ea-b2c7-459e-b7ed-f7f5c877fe9f",
languages = "eng",
identifiers = "amazon:B01FIZAES4,isbn:9780821847817,google:deWkZWYbyHQC" }
@book{ StevenRoman612,
title = "Advanced Linear Algebra",
title_sort = "Advanced Linear Algebra",
author_sort = "Roman, Steven",
author = "Steven Roman",
note = "This is a graduate textbook covering an especially broad range of topics. The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism theorems. The author then proceeds to modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for normal operators. The second part of the book is a collection of topics, including metric vector spaces, metric spaces, Hilbert spaces, tensor products, and affine geometry. The last chapter discusses the umbral calculus, an area of modern algebra with important applications. For the third edition, the author has: * added a new chapter on associative algebras that includes the well known characterizations of the finite-dimensional division algebras over the real field (a theorem of Frobenius) and over a finite field (Wedderburn's theorem); * polished and refined some arguments (such as the discussion of reflexivity, the rational canonical form, best approximations and the definitions of tensor products); * upgraded some proofs that were originally done only for finite-dimensional/rank cases; * added new theorems, including the spectral mapping theorem and a theorem to the effect that , dim(V)=dim(V*) with equality if and only if V is finite-dimensional;* corrected all known errors; * the reference section has been enlarged considerably, with over a hundred references to books on linear algebra. From the reviews of the second edition: {"}In this 2nd edition, the author has rewritten the entire book and has added more than 100 pages of new materials. ... As in the previous edition, the text is well written and gives a thorough discussion of many topics of linear algebra and related fields. ... the exercises are rewritten and expanded. ... Overall, I found the book a very useful one. ... It is a suitable choice as a graduate text or as a reference book.{"} - Ali-Akbar Jafarian, ZentralblattMATH {"}This is a formidable volume, a compendium of linear algebra theory, classical and modern ... . The development of the subject is elegant ... . The proofs are neat ... . The exercise sets are good, with occasional hints given for the solution of trickier problems. ... It represents linear algebra and does so comprehensively.{"} -Henry Ricardo, MathDL
",
cover = "/home/zack/Dropbox/Library/Steven Roman/Advanced Linear Algebra (612)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Steven Roman/Advanced Linear Algebra (612)/Advanced Linear Algebra - Steven Roman.pdf:PDF",
calibreid = "612",
isbn = "978-03-8772-831-5",
library_name = "Library",
year = "2007",
month = "Sep",
publisher = "Springer Science \& Business Media",
volume = "1",
size = "2275563 octets",
tags = "Linear, Algebra, linear algebra, textbook, General, Mathematics",
timestamp = "2019-02-06",
uuid = "26c758c9-922e-46a7-84fe-757b2fb2f5e0",
languages = "eng",
identifiers = "isbn:9780387728315,google:bSyQr-wUys8C" }
@book{ PatrickFitzpatrick613,
title = "Advanced Calculus",
title_sort = "Advanced Calculus",
author_sort = "Fitzpatrick, Patrick",
author = "Patrick Fitzpatrick",
note = "Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables. Special attention has been paid to the motivation for proofs. Selected topics, such as the Picard Existence Theorem for differential equations, have been included in such a way that selections may be made while preserving a fluid presentation of the essential material. Supplemented with numerous exercises, {"}{"}Advanced Calculus{"}{"} is a perfect book for undergraduate students of analysis.
",
cover = "/home/zack/Dropbox/Library/Patrick Fitzpatrick/Advanced Calculus (613)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Patrick Fitzpatrick/Advanced Calculus (613)/Advanced Calculus - Patrick Fitzpatrick.pdf:PDF",
calibreid = "613",
isbn = "978-08-2184-791-6",
library_name = "Library",
year = "2009",
month = "Feb",
publisher = "American Mathematical Soc.",
rating = "8",
volume = "1",
size = "17394732 octets",
tags = "Calculus, Mathematics, tutoring",
timestamp = "2019-02-06",
uuid = "c9aefbff-591e-40a5-821e-b7adbc98a940",
languages = "eng",
identifiers = "google:4hhFXPdTXwoC,isbn:9780821847916" }
@misc{ HenryS.Warren616,
title = "Hacker's Delight",
title_sort = "Hacker's Delight",
author_sort = "Warren, Henry S.",
author = "Henry S. Warren",
cover = "/home/zack/Dropbox/Library/Henry S. Warren/Hacker's Delight (616)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Henry S. Warren/Hacker's Delight (616)/Hacker's Delight - Henry S. Warren.pdf:PDF",
calibreid = "616",
library_name = "Library",
year = "2016",
month = "May",
volume = "1",
size = "26476282 octets",
tags = "Computer Science, Hacking, Unread",
timestamp = "2019-02-07",
uuid = "b974902c-bb0f-47bc-aacc-ec83313286ab" }
@misc{ Neukirch619,
title = "Algebraic Number Theory",
title_sort = "Algebraic Number Theory",
author_sort = "Neukirch",
author = "Neukirch",
cover = "/home/zack/Dropbox/Library/Neukirch/Algebraic Number Theory (619)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Neukirch/Algebraic Number Theory (619)/Algebraic Number Theory - Neukirch.pdf:PDF",
calibreid = "619",
library_name = "Library",
year = "2012",
month = "Dec",
volume = "1",
size = "47750368 octets",
timestamp = "2019-02-07",
uuid = "f29ccc42-686b-4753-93a4-c35e85965aa2" }
@misc{ DrorVarolin620,
title = "Riemann Surfaces By Way of Analytic Geometry",
title_sort = "Riemann Surfaces By Way of Analytic Geometry",
author_sort = "Varolin, Dror",
author = "Dror Varolin",
formats = "zip",
file = ":/home/zack/Dropbox/Library/Dror Varolin/Riemann Surfaces By Way of Analytic Geometry (620)/Riemann Surfaces By Way of Analytic Geomet - Dror Varolin.zip:ZIP",
calibreid = "620",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "13366 octets",
timestamp = "2019-02-07",
uuid = "2a91f3a0-d2e4-4571-b481-527ab60cc649",
languages = "eng" }
@misc{ PeterScholze623,
title = "Algebraic Geometry I",
title_sort = "Algebraic Geometry I",
author_sort = "Scholze, Peter",
author = "Peter Scholze",
cover = "/home/zack/Dropbox/Library/Peter Scholze/Algebraic Geometry I (623)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Peter Scholze/Algebraic Geometry I (623)/Algebraic Geometry I - Peter Scholze.pdf:PDF",
calibreid = "623",
library_name = "Library",
year = "2017",
month = "Mar",
volume = "1",
size = "919569 octets",
timestamp = "2019-02-07",
uuid = "744ad545-3298-4a78-85fb-fb3b712da95a" }
@misc{ JosephJ.Rotman624,
title = "Advanced Modern Algebra",
title_sort = "Advanced Modern Algebra",
author_sort = "Rotman, Joseph J.",
author = "Joseph J. Rotman",
formats = "zip",
file = ":/home/zack/Dropbox/Library/Joseph J. Rotman/Advanced Modern Algebra (624)/Advanced Modern Algebra - Joseph J. Rotman.zip:ZIP",
calibreid = "624",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "21897 octets",
timestamp = "2019-02-07",
uuid = "2c64e9f7-feba-48e4-88ee-3eeef824a038",
languages = "eng" }
@misc{ PAULRENTELN625,
title = "MANIFOLDS, TENSORS, AND FORMS",
title_sort = "MANIFOLDS, TENSORS, AND FORMS",
author_sort = "RENTELN, PAUL",
author = "PAUL RENTELN",
cover = "/home/zack/Dropbox/Library/PAUL RENTELN/MANIFOLDS, TENSORS, AND FORMS (625)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/PAUL RENTELN/MANIFOLDS, TENSORS, AND FORMS (625)/MANIFOLDS, TENSORS, AND FORMS - PAUL RENTELN.pdf:PDF",
calibreid = "625",
library_name = "Library",
year = "2013",
month = "Sep",
volume = "1",
size = "6859730 octets",
timestamp = "2019-02-07",
uuid = "2cde6d71-dd55-4300-9739-4696ed8ab8d7" }
@misc{ J.PeterMay628,
title = "A Concise Course in Algebraic Topology",
title_sort = "Concise Course in Algebraic Topology, A",
author_sort = "May, J. Peter",
author = "J. Peter May",
cover = "/home/zack/Dropbox/Library/J. Peter May/A Concise Course in Algebraic Topology (628)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/J. Peter May/A Concise Course in Algebraic Topology (628)/A Concise Course in Algebraic Topology - J. Peter May.pdf:PDF",
calibreid = "628",
library_name = "Library",
year = "2007",
month = "Sep",
volume = "1",
size = "2431166 octets",
tags = "Topology, textbook",
timestamp = "2019-02-07",
uuid = "bd8eda70-b5bb-4384-8050-b9100df9dbb3" }
@misc{ PenroseRoger629,
title = "The Road to Reality",
title_sort = "Road to Reality, The",
author_sort = "Roger, Penrose",
author = "Penrose Roger",
cover = "/home/zack/Dropbox/Library/Penrose Roger/The Road to Reality (629)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Penrose Roger/The Road to Reality (629)/The Road to Reality - Penrose Roger.pdf:PDF",
calibreid = "629",
library_name = "Library",
year = "2005",
month = "Nov",
volume = "1",
size = "14500299 octets",
timestamp = "2019-02-07",
uuid = "903da61f-6db9-4ad5-83c3-8b9ea995d70e" }
@misc{ Unknown634,
title = "Fiber Bundles Basics",
title_sort = "Fiber Bundles Basics",
author_sort = "Unknown",
author = "Unknown",
cover = "/home/zack/Dropbox/Library/Unknown/Fiber Bundles Basics (634)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Unknown/Fiber Bundles Basics (634)/Fiber Bundles Basics - Unknown.pdf:PDF",
calibreid = "634",
library_name = "Library",
year = "2018",
month = "May",
volume = "1",
size = "626222 octets",
tags = "research, notes",
timestamp = "2019-02-07",
uuid = "a559a5b2-3e71-4966-9750-3f79480e2935" }
@misc{ JeanPierreSerre635,
title = "Linear Representations of Finite Groups",
title_sort = "Linear Representations of Finite Groups",
author_sort = "Serre, Jean Pierre",
author = "Jean Pierre Serre",
cover = "/home/zack/Dropbox/Library/Jean Pierre Serre/Linear Representations of Finite Groups (635)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Jean Pierre Serre/Linear Representations of Finite Groups (635)/Linear Representations of Finite Groups - Jean Pierre Serre.pdf:PDF",
calibreid = "635",
library_name = "Library",
year = "2016",
month = "Oct",
volume = "1",
size = "8373800 octets",
timestamp = "2019-02-07",
uuid = "ed8516cb-2e2d-4493-b82d-785b8d7d446e" }
@misc{ MarshallHall636,
title = "Subgroups of free products",
title_sort = "Subgroups of free products",
author_sort = "Hall, Marshall",
author = "Marshall Hall",
note = "20.0X
",
cover = "/home/zack/Dropbox/Library/Marshall Hall/Subgroups of free products (636)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Marshall Hall/Subgroups of free products (636)/Subgroups of free products - Marshall Hall.pdf:PDF",
calibreid = "636",
library_name = "Library",
year = "2012",
month = "Oct",
volume = "1",
size = "585345 octets",
timestamp = "2019-02-07",
uuid = "944f4793-541f-4143-8fad-ea188a771016" }
@misc{ GoodeAnnin646,
title = "Differential Equations and Linear Algebra (Soln Manual)",
title_sort = "Differential Equations and Linear Algebra (Soln Manual)",
author_sort = "Goode, Annin",
author = "Goode, Annin",
cover = "/home/zack/Dropbox/Library/Goode, Annin/Differential Equations and Linear Algebra (Soln Manual) (646)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Goode, Annin/Differential Equations and Linear Algebra (Soln Manual) (646)/Differential Equations and Linear Algebra - Goode, Annin.pdf:PDF",
calibreid = "646",
library_name = "Library",
year = "2007",
month = "Sep",
volume = "1",
size = "4212797 octets",
timestamp = "2019-02-07",
uuid = "1b2d8bb8-9076-4ff2-86f6-e00cb655f9cb" }
@misc{ DavidACox647,
title = "Ideals, Varieties, and Algorithms",
title_sort = "Ideals, Varieties, and Algorithms",
author_sort = "Cox, David A",
author = "David A Cox",
cover = "/home/zack/Dropbox/Library/David A Cox/Ideals, Varieties, and Algorithms (647)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/David A Cox/Ideals, Varieties, and Algorithms (647)/Ideals, Varieties, and Algorithms - David A Cox.pdf:PDF",
calibreid = "647",
library_name = "Library",
year = "2007",
month = "Sep",
volume = "1",
size = "3797234 octets",
timestamp = "2019-02-07",
uuid = "cffdcbc7-83f0-4459-9233-9acc4e40017c" }
@misc{ FalconerKenneth649,
title = "Fractal Geometry Mathematical",
title_sort = "Fractal Geometry Mathematical",
author_sort = "Kenneth, Falconer",
author = "Falconer Kenneth",
cover = "/home/zack/Dropbox/Library/Falconer Kenneth/Fractal Geometry Mathematical (649)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Falconer Kenneth/Fractal Geometry Mathematical (649)/Fractal Geometry Mathematical - Falconer Kenneth.pdf:PDF",
calibreid = "649",
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year = "2002",
month = "Jul",
volume = "1",
size = "16145450 octets",
timestamp = "2019-02-07",
uuid = "29ca3807-b3e0-430b-ae13-1aa4f1dc2ff4" }
@misc{ H.M.Schey651,
title = "Div, Grad, Curl, and All That: An Informal Text on Vector Calculus",
title_sort = "Div, Grad, Curl, and All That: An Informal Text on Vector Calculus",
author_sort = "Schey, H. M.",
author = "H. M. Schey",
formats = "zip",
file = ":/home/zack/Dropbox/Library/H. M. Schey/Div, Grad, Curl, and All That_ An Informal Text on Vector Calculus (651)/Div, Grad, Curl, and All That_ An Informal - H. M. Schey.zip:ZIP",
calibreid = "651",
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uuid = "c32ca7a5-4b2a-49a6-8dd6-b82580cbbbc0",
languages = "eng" }
@misc{ JohnMilnor654,
title = "Characteristic Classes",
title_sort = "Characteristic Classes",
author_sort = "Milnor, John \& Stasheff, James D.",
author = "John Milnor and James D. Stasheff",
cover = "/home/zack/Dropbox/Library/John Milnor/Characteristic Classes (654)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/John Milnor/Characteristic Classes (654)/Characteristic Classes - John Milnor.pdf:PDF",
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month = "Jan",
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size = "12960816 octets",
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timestamp = "2019-02-07",
uuid = "f6a988d6-0b6e-433a-a137-a530376601dc" }
@misc{ DavidStevenDummit656,
title = "Abstract Algebra",
title_sort = "Abstract Algebra",
author_sort = "Dummit, David Steven \& Foote, Richard M.",
author = "David Steven Dummit and Richard M. Foote",
cover = "/home/zack/Dropbox/Library/David Steven Dummit/Abstract Algebra (656)/cover.jpg",
formats = "pdf",
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volume = "1",
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timestamp = "2019-02-07",
uuid = "f72dd7bd-d53b-4b61-8f4b-819d21de659b" }
@book{ JeanPierreSerre658,
title = "Local Fields",
title_sort = "Local Fields",
author_sort = "Serre, Jean Pierre",
author = "Jean Pierre Serre",
cover = "/home/zack/Dropbox/Library/Jean Pierre Serre/Local Fields (658)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Jean Pierre Serre/Local Fields (658)/Local Fields - Jean Pierre Serre.pdf:PDF",
calibreid = "658",
library_name = "Library",
year = "1995",
month = "Feb",
publisher = "Springer Verlag",
rating = "8",
volume = "1",
size = "9283944 octets",
timestamp = "2019-02-10",
uuid = "a13d8167-c730-4222-98e8-53306ea21c99",
languages = "eng",
identifiers = "amazon:B005DNCEVM" }
@misc{ S.P.Novikov659,
title = "Topological Library: Part 1",
title_sort = "Topological Library: Part 1",
author_sort = "Novikov, S. P. \& Taimanov, I. A.",
author = "S. P. Novikov and I. A. Taimanov",
cover = "/home/zack/Dropbox/Library/S. P. Novikov/Topological Library\_ Part 1 (659)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/S. P. Novikov/Topological Library_ Part 1 (659)/Topological Library_ Part 1 - S. P. Novikov.pdf:PDF",
calibreid = "659",
library_name = "Library",
year = "2007",
month = "Apr",
volume = "1",
size = "3308338 octets",
timestamp = "2019-02-11",
uuid = "c937d99c-b914-4cf7-bf4c-4dcc356a326e" }
@misc{ S.P.NovikovI.A.Taimanov660,
title = "Topological Library: Part 2: Characteristic Classes and Smooth Structures on Manifolds (Series on Knots and Everything)",
title_sort = "Topological Library: Part 2: Characteristic Classes and Smooth Structures on Manifolds (Series on Knots and Everything)",
author_sort = "S. P. Novikov, I. A. Taimanov \& Manturov, V. O.",
author = "S. P. Novikov, I. A. Taimanov and V. O. Manturov",
cover = "/home/zack/Dropbox/Library/S. P. Novikov, I. A. Taimanov/Topological Library\_ Part 2\_ Characteristic Classes and Smooth Structures on Manifolds (Series (660)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/S. P. Novikov, I. A. Taimanov/Topological Library_ Part 2_ Characteristic Classes and Smooth Structures on Manifolds (Series (660)/Topological Library_ Part 2_ Characteristi - S. P. Novikov, I. A. Taimanov.pdf:PDF",
calibreid = "660",
isbn = "98-1283-686-1",
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year = "100",
month = "Dec",
volume = "1",
size = "1962032 octets",
tags = "World Scientific Publishing Company",
timestamp = "2019-02-11",
uuid = "5b454904-e367-4ffb-847c-8f29a692cebb",
identifiers = "isbn:9812836861" }
@misc{ NovikovTaimanov661,
title = "Topological Library Part 3: Spectral Sequences",
title_sort = "Topological Library Part 3: Spectral Sequences",
author_sort = "Novikov, Taimanov",
author = "Novikov, Taimanov",
cover = "/home/zack/Dropbox/Library/Novikov, Taimanov/Topological Library Part 3\_ Spectral Sequences (661)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Novikov, Taimanov/Topological Library Part 3_ Spectral Sequences (661)/Topological Library Part 3_ Spectral Seque - Novikov, Taimanov.pdf:PDF",
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volume = "1",
size = "40173894 octets",
timestamp = "2019-02-11",
uuid = "2a8601cc-c6a3-4c06-ad86-e669a89cb661" }
@misc{ SergeiI.Gelfand662,
title = "Methods of Homological Algebra",
title_sort = "Methods of Homological Algebra",
author_sort = "Gelfand, Sergei I. \& Manin, Yuri I.",
author = "Sergei I. Gelfand and Yuri I. Manin",
cover = "/home/zack/Dropbox/Library/Sergei I. Gelfand/Methods of Homological Algebra (662)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Sergei I. Gelfand/Methods of Homological Algebra (662)/Methods of Homological Algebra - Sergei I. Gelfand.pdf:PDF",
calibreid = "662",
library_name = "Library",
year = "2008",
month = "Mar",
volume = "1",
size = "18297033 octets",
tags = "Algebra, homological algebra, Abstract, textbook, General, Mathematics, History \& Philosophy",
timestamp = "2019-02-11",
uuid = "34ec0f5a-74b5-4942-902e-695e860da90f" }
@misc{ PaulSelick663,
title = "Introduction to Homotopy Theory",
title_sort = "Introduction to Homotopy Theory",
author_sort = "Selick, Paul",
author = "Paul Selick",
cover = "/home/zack/Dropbox/Library/Paul Selick/Introduction to Homotopy Theory (663)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Paul Selick/Introduction to Homotopy Theory (663)/Introduction to Homotopy Theory - Paul Selick.pdf:PDF",
calibreid = "663",
library_name = "Library",
year = "2019",
month = "Feb",
volume = "1",
size = "20208063 octets",
tags = "Mathematics, Topology",
timestamp = "2019-02-11",
uuid = "98351709-d45b-4a01-a032-338761a719cc" }
@misc{ Strunk664,
title = "The Elements of Style",
title_sort = "Elements of Style, The",
author_sort = "Strunk \& White",
author = "Strunk and White",
note = "Grammar, Style, Usage
",
cover = "/home/zack/Dropbox/Library/Strunk/The Elements of Style (664)/cover.jpg",
calibreid = "664",
library_name = "Library",
year = "2007",
month = "Aug",
volume = "1",
tags = "Grammar, Style, Usage",
timestamp = "2019-02-13",
uuid = "7869556f-e192-4f44-80a9-7d32a8c6aab6" }
@misc{ BjornGustavii665,
title = "How to Write and Illustrate Scientific Papers",
title_sort = "How to Write and Illustrate Scientific Papers",
author_sort = "Gustavii, Bjorn",
author = "Bjorn Gustavii",
cover = "/home/zack/Dropbox/Library/Bjorn Gustavii/How to Write and Illustrate Scientific Papers (665)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Bjorn Gustavii/How to Write and Illustrate Scientific Papers (665)/How to Write and Illustrate Scientific Pap - Bjorn Gustavii.pdf:PDF",
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volume = "1",
size = "3150973 octets",
timestamp = "2019-02-13",
uuid = "c97a2ab1-cc8b-4aa2-b865-a3fefa8e5aaf" }
@misc{ MilesReid666,
title = "Undergraduate Algebraic Geometry",
title_sort = "Undergraduate Algebraic Geometry",
author_sort = "Reid, Miles",
author = "Miles Reid",
cover = "/home/zack/Dropbox/Library/Miles Reid/Undergraduate Algebraic Geometry (666)/cover.jpg",
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timestamp = "2019-02-16",
uuid = "43a2b6e0-fa1a-4385-bbd8-53b0dca1507a" }
@misc{ Unknown667,
title = "The Matrix Cookbook",
title_sort = "Matrix Cookbook, The",
author_sort = "Unknown",
author = "Unknown",
cover = "/home/zack/Dropbox/Library/Unknown/The Matrix Cookbook (667)/cover.jpg",
formats = "pdf",
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timestamp = "2019-02-16",
uuid = "4a80cc7c-4737-4c86-8040-55c08ac0114b" }
@misc{ WilliamFultonJoeHarris668,
title = "Representation Theory: A First Course",
title_sort = "Representation Theory: A First Course",
author_sort = "William Fulton, Joe Harris",
author = "William Fulton, Joe Harris",
cover = "/home/zack/Dropbox/Library/William Fulton, Joe Harris/Representation Theory\_ A First Course (668)/cover.jpg",
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timestamp = "2019-02-27",
uuid = "ab08efb0-90ba-49e2-9329-8a224b93a391" }
@book{ DavidMumford669,
title = "The Red Book of Varieties and Schemes",
title_sort = "Red Book of Varieties and Schemes, The",
author_sort = "Mumford, David",
author = "David Mumford",
note = "{"}The book under review is a reprint of Mumford's famous Harvard lecture notes, widely used by the few past generations of algebraic geometers. Springer-Verlag has done the mathematical community a service by making these notes available once again.... The informal style and frequency of examples make the book an excellent text.{"} (Mathematical Reviews)
**
",
cover = "/home/zack/Dropbox/Library/David Mumford/The Red Book of Varieties and Schemes (669)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/David Mumford/The Red Book of Varieties and Schemes (669)/The Red Book of Varieties and Schemes - David Mumford.pdf:PDF",
calibreid = "669",
isbn = "978-35-4050-497-9",
library_name = "Library",
year = "1988",
month = "Nov",
publisher = "Springer",
rating = "10",
volume = "1",
size = "11270199 octets",
timestamp = "2019-02-27",
uuid = "7bbce6b7-8711-419b-83b9-ea9c6d2de11f",
languages = "eng",
identifiers = "isbn:9783540504979,amazon:3540504974" }
@book{ J.F.Adams670,
title = "Stable Homotopy and Generalised Homology",
title_sort = "Stable Homotopy and Generalised Homology",
author_sort = "Adams, J. F.",
author = "J. F. Adams",
note = "J. Frank Adams, the founder of stable homotopy theory, gave a lecture series at the University of Chicago in 1967, 1970, and 1971, the well-written notes of which are published in this classic in algebraic topology. The three series focused on Novikov's work on operations in complex cobordism, Quillen's work on formal groups and complex cobordism, and stable homotopy and generalized homology. Adams's exposition of the first two topics played a vital role in setting the stage for modern work on periodicity phenomena in stable homotopy theory. His exposition on the third topic occupies the bulk of the book and gives his definitive treatment of the Adams spectral sequence along with many detailed examples and calculations in KU-theory that help give a feel for the subject.
**
",
cover = "/home/zack/Dropbox/Library/J. F. Adams/Stable Homotopy and Generalised Homology (670)/cover.jpg",
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calibreid = "670",
isbn = "978-02-2600-524-9",
library_name = "Library",
year = "1974",
month = "Feb",
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size = "7017307 octets",
tags = "Mathematics, General",
timestamp = "2019-02-27",
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languages = "eng",
identifiers = "isbn:9780226005249,amazon:0226005240,google:6vG13YQcPnYC" }
@book{ DavidEisenbud671,
title = "The Geometry of Schemes",
title_sort = "Geometry of Schemes, The",
author_sort = "Eisenbud, David",
author = "David Eisenbud",
note = "Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
**
",
cover = "/home/zack/Dropbox/Library/David Eisenbud/The Geometry of Schemes (671)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/David Eisenbud/The Geometry of Schemes (671)/The Geometry of Schemes - David Eisenbud.pdf:PDF",
calibreid = "671",
isbn = "978-03-8798-637-1",
library_name = "Library",
year = "2001",
month = "Nov",
publisher = "Springer",
rating = "10",
volume = "1",
size = "1847684 octets",
tags = "Mathematics, Geometry, Algebraic, Algebra, General",
timestamp = "2019-02-27",
uuid = "acfb1b69-eac1-4bd9-836d-ff7750f99b91",
languages = "eng",
identifiers = "isbn:9780387986371,google:XNbVBAAAQBAJ,amazon:0387986375" }
@book{ DusaMcDuff672,
title = "Introduction to Symplectic Topology",
title_sort = "Introduction to Symplectic Topology",
author_sort = "McDuff, Dusa",
author = "Dusa McDuff",
note = "Symplectic structures underlie the equations of classical mechanics and their properties are reflected in the behavior of a wide range of physical systems. Over the last few years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results. At its publication in 1995, *Introduction to Symplectic Topology* was the first comprehensive introduction to the subject and it has since become an established text in this fast-developing branch of mathematics. This second edition has been significantly revised and expanded, with new references and additional examples and theorems. It includes a section on new developments and an expanded discussion of Taubes and Donaldson's recent results.
**
",
cover = "/home/zack/Dropbox/Library/Dusa McDuff/Introduction to Symplectic Topology (672)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Dusa McDuff/Introduction to Symplectic Topology (672)/Introduction to Symplectic Topology - Dusa McDuff.pdf:PDF",
calibreid = "672",
isbn = "978-01-9850-451-1",
library_name = "Library",
year = "1999",
month = "Jul",
publisher = "Oxford University Press",
volume = "1",
size = "37130874 octets",
timestamp = "2019-02-28",
uuid = "c466d6f2-bcae-4872-8ba0-ac41b97f25ba",
languages = "eng",
identifiers = "amazon:0198504519,isbn:9780198504511" }
@misc{ Unknown673,
title = "Putnam and Beyond",
title_sort = "Putnam and Beyond",
author_sort = "Unknown",
author = "Unknown",
cover = "/home/zack/Dropbox/Library/Unknown/Putnam and Beyond (673)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Unknown/Putnam and Beyond (673)/Putnam and Beyond - Unknown.pdf:PDF",
calibreid = "673",
library_name = "Library",
year = "2009",
month = "Oct",
volume = "1",
size = "3988805 octets",
timestamp = "2019-03-08",
uuid = "84f391bc-67ee-4439-85a2-6f6f58e642f4" }
@misc{ CanutoTabacco674,
title = "Mathematical Analysis 1",
title_sort = "Mathematical Analysis 1",
author_sort = "Canuto, Tabacco",
author = "Canuto, Tabacco",
cover = "/home/zack/Dropbox/Library/Canuto, Tabacco/Mathematical Analysis 1 (674)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Canuto, Tabacco/Mathematical Analysis 1 (674)/Mathematical Analysis 1 - Canuto, Tabacco.pdf:PDF",
calibreid = "674",
library_name = "Library",
year = "2014",
month = "Dec",
volume = "1",
size = "5694272 octets",
timestamp = "2019-03-13",
uuid = "85e0341c-bd91-4b8a-b858-5ca72c47a907" }
@book{ StevenJ.Leon675,
title = "Linear Algebra With Applications",
title_sort = "Linear Algebra With Applications",
author_sort = "Leon, Steven J.",
author = "Steven J. Leon",
note = "Written for undergraduate first courses in Linear Algebra. Assumes the user has had calculus. Renowned for thoroughness and accessibility, this top-selling text by one of the leading figures in linear algebra education offers students a challenging and enjoyable study of linear algebra that is infused with an abundance of applications. Balancing coverage of mathematical theory and applied topics, Professor Leon explains concepts with precision so that students at any level can understand the material. Worked examples are heavily integrated into each chapter. The book stresses the important role geometry and visualization play in understanding the subject. This edition will continue to be packaged with the ancillary ATLAST computer exercise guide, as well as new MATLAB and Maple guides. *NEW-Chapter Tests-At the end of each chapter there is now a true-false exam testing the basic concepts covered in the chapter, asks students to prove or explain their answers. *NEW-Earlier presentation of the Singular Value Decomposition - Now covered in Chapter 6, Section 5 and includes the applications of the singular value decomposition to least square problems, principal component analysis, info
",
cover = "/home/zack/Dropbox/Library/Steven J. Leon/Linear Algebra With Applications (675)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Steven J. Leon/Linear Algebra With Applications (675)/Linear Algebra With Applications - Steven J. Leon.pdf:PDF",
calibreid = "675",
isbn = "978-01-3033-781-8",
library_name = "Library",
year = "2002",
month = "Feb",
publisher = "Prentice Hall",
rating = "8",
volume = "1",
size = "3755629 octets",
tags = "Algebra, Linear, linear algebra, Mathematics, textbook, tutoring",
timestamp = "2019-03-14",
uuid = "22fe668c-3917-402e-bacf-1570cc62a41d",
languages = "eng",
identifiers = "google:mlxGAQAAIAAJ,isbn:9780130337818" }
@misc{ J.Milnor676,
title = "Morse Theory",
title_sort = "Morse Theory",
author_sort = "Milnor, J.",
author = "J. Milnor",
cover = "/home/zack/Dropbox/Library/J. Milnor/Morse Theory (676)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/J. Milnor/Morse Theory (676)/Morse Theory - J. Milnor.pdf:PDF",
calibreid = "676",
library_name = "Library",
year = "2019",
month = "Mar",
volume = "1",
size = "1745397 octets",
timestamp = "2019-03-28",
uuid = "9fe1bf2c-5d9a-4434-b636-603c671300bd" }
@misc{ EmilyRiehl677,
title = "Category Theory in Context",
title_sort = "Category Theory in Context",
author_sort = "Riehl, Emily",
author = "Emily Riehl",
cover = "/home/zack/Dropbox/Library/Emily Riehl/Category Theory in Context (677)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Emily Riehl/Category Theory in Context (677)/Category Theory in Context - Emily Riehl.pdf:PDF",
calibreid = "677",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "2021985 octets",
timestamp = "2019-03-28",
uuid = "7f177e54-3c5f-44b0-a1b1-9588e9ce0c76" }
@misc{ GarthWarner680,
title = "Fibrations and Sheaves",
title_sort = "Fibrations and Sheaves",
author_sort = "Warner, Garth",
author = "Garth Warner",
cover = "/home/zack/Dropbox/Library/Garth Warner/Fibrations and Sheaves (680)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Garth Warner/Fibrations and Sheaves (680)/Fibrations and Sheaves - Garth Warner.pdf:PDF",
calibreid = "680",
library_name = "Library",
year = "2012",
month = "Dec",
volume = "1",
size = "4526578 octets",
timestamp = "2019-03-30",
uuid = "c2ed4596-ebde-4f90-8a37-933bf6e284bc" }
@misc{ Vakil681,
title = "Vakil Foundations of Algebraic Geometry",
title_sort = "Vakil Foundations of Algebraic Geometry",
author_sort = "Vakil",
author = "Vakil",
note = "()
",
cover = "/home/zack/Dropbox/Library/Vakil/Vakil Foundations of Algebraic Geometry (681)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Vakil/Vakil Foundations of Algebraic Geometry (681)/Vakil Foundations of Algebraic Geometry - Vakil.pdf:PDF",
calibreid = "681",
library_name = "Library",
year = "2013",
month = "Jun",
volume = "1",
size = "7241801 octets",
timestamp = "2019-03-30",
uuid = "886776df-8930-4d16-8673-8a55673f714e" }
@misc{ James685,
title = "History of Toplogy",
title_sort = "History of Toplogy",
author_sort = "James",
author = "James",
cover = "/home/zack/Dropbox/Library/James/History of Toplogy (685)/cover.jpg",
calibreid = "685",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "86204501 octets",
timestamp = "2019-03-30",
uuid = "b6d140cc-1b4c-4dfe-b6c9-491ab208566c" }
@misc{ Craven686,
title = "Topological Methods in Algebra",
title_sort = "Topological Methods in Algebra",
author_sort = "Craven",
author = "Craven",
cover = "/home/zack/Dropbox/Library/Craven/Topological Methods in Algebra (686)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Craven/Topological Methods in Algebra (686)/Topological Methods in Algebra - Craven.pdf:PDF",
calibreid = "686",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "343475 octets",
timestamp = "2019-03-30",
uuid = "ac402778-fe7c-4208-96a4-6eeb1c88027a" }
@misc{ Unknown687,
title = "An Introduction to Stable Homotopy Theory",
title_sort = "Introduction to Stable Homotopy Theory, An",
author_sort = "Unknown",
author = "Unknown",
cover = "/home/zack/Dropbox/Library/Unknown/An Introduction to Stable Homotopy Theory (687)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Unknown/An Introduction to Stable Homotopy Theory (687)/An Introduction to Stable Homotopy Theory - Unknown.pdf:PDF",
calibreid = "687",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "969143 octets",
timestamp = "2019-03-30",
uuid = "7ee78a1c-a893-4d14-8479-332759a02a1b" }
@misc{ Ovsienko688,
title = "Projective Differential Geometry",
title_sort = "Projective Differential Geometry",
author_sort = "Ovsienko",
author = "Ovsienko",
cover = "/home/zack/Dropbox/Library/Ovsienko/Projective Differential Geometry (688)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Ovsienko/Projective Differential Geometry (688)/Projective Differential Geometry - Ovsienko.pdf:PDF",
calibreid = "688",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "1419635 octets",
timestamp = "2019-03-30",
uuid = "14951d28-bace-464c-9da3-88a912b8756c" }
@misc{ GallierShatz689,
title = "Complex Algebraic Geometry",
title_sort = "Complex Algebraic Geometry",
author_sort = "Shatz, Gallier",
author = "Gallier Shatz",
cover = "/home/zack/Dropbox/Library/Gallier Shatz/Complex Algebraic Geometry (689)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Gallier Shatz/Complex Algebraic Geometry (689)/Complex Algebraic Geometry - Gallier Shatz.pdf:PDF",
calibreid = "689",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "1664258 octets",
timestamp = "2019-03-30",
uuid = "1ecab9ac-c348-4791-bccb-ee353a2c2208" }
@misc{ Milne690,
title = "Class Field Theory",
title_sort = "Class Field Theory",
author_sort = "Milne",
author = "Milne",
cover = "/home/zack/Dropbox/Library/Milne/Class Field Theory (690)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Milne/Class Field Theory (690)/Class Field Theory - Milne.pdf:PDF",
calibreid = "690",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "1863077 octets",
timestamp = "2019-03-30",
uuid = "4bf8a765-f7a1-43f1-96e6-655eb95fa801" }
@misc{ TonyFeng691,
title = "Hodge-Tate Theory",
title_sort = "Hodge-Tate Theory",
author_sort = "Feng, Tony",
author = "Tony Feng",
cover = "/home/zack/Dropbox/Library/Tony Feng/Hodge-Tate Theory (691)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Tony Feng/Hodge-Tate Theory (691)/Hodge-Tate Theory - Tony Feng.pdf:PDF",
calibreid = "691",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "651154 octets",
timestamp = "2019-03-30",
uuid = "571d9210-8353-4459-9f5e-35445bce279b" }
@misc{ DanielDugger692,
title = "QFT for Topologists",
title_sort = "QFT for Topologists",
author_sort = "Dugger, Daniel",
author = "Daniel Dugger",
cover = "/home/zack/Dropbox/Library/Daniel Dugger/QFT for Topologists (692)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Daniel Dugger/QFT for Topologists (692)/QFT for Topologists - Daniel Dugger.pdf:PDF",
calibreid = "692",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "1674658 octets",
timestamp = "2019-03-30",
uuid = "d85ec059-756e-4352-8d71-d626dedf08a4" }
@misc{ Budyak694,
title = "On Thom Spectra, Orientability, and Cobordism",
title_sort = "On Thom Spectra, Orientability, and Cobordism",
author_sort = "Budyak",
author = "Budyak",
cover = "/home/zack/Dropbox/Library/Budyak/On Thom Spectra, Orientability, and Cobordism (694)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Budyak/On Thom Spectra, Orientability, and Cobordism (694)/On Thom Spectra, Orientability, and Cobord - Budyak.pdf:PDF",
calibreid = "694",
library_name = "Library",
year = "2007",
month = "Dec",
volume = "1",
size = "5011919 octets",
timestamp = "2019-03-30",
uuid = "0fa12255-ad88-4ec7-8387-a6ca3e085636" }
@misc{ MosherR.E.TangoraM.C.695,
title = "Cohomology Operations and Applications in Homotopy Theory",
title_sort = "Cohomology Operations and Applications in Homotopy Theory",
author_sort = "Mosher R.E., Tangora M.C.",
author = "Mosher R.E., Tangora M.C.",
cover = "/home/zack/Dropbox/Library/Mosher R.E., Tangora M.C\_/Cohomology Operations and Applications in Homotopy Theory (695)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Mosher R.E., Tangora M.C_/Cohomology Operations and Applications in Homotopy Theory (695)/Cohomology Operations and Applications in - Mosher R.E., Tangora M.C_.pdf:PDF",
calibreid = "695",
library_name = "Library",
year = "2008",
month = "Feb",
volume = "1",
size = "7415728 octets",
timestamp = "2019-03-31",
uuid = "b8c95631-9e7d-4b81-9a05-164f70076efd" }
@misc{ JamesDavisPaulKirk696,
title = "Lecture Notes in Algebraic Topology",
title_sort = "Lecture Notes in Algebraic Topology",
author_sort = "James Davis, Paul Kirk",
author = "James Davis, Paul Kirk",
cover = "/home/zack/Dropbox/Library/James Davis, Paul Kirk/Lecture Notes in Algebraic Topology (696)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/James Davis, Paul Kirk/Lecture Notes in Algebraic Topology (696)/Lecture Notes in Algebraic Topology - James Davis, Paul Kirk.pdf:PDF",
calibreid = "696",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "2243336 octets",
timestamp = "2019-04-04",
uuid = "dc8273e2-e5ba-4ec9-9e7a-b22ab6f034fd" }
@misc{ MorrisW.Hirsch698,
title = "Differential Topology",
title_sort = "Differential Topology",
author_sort = "Hirsch, Morris W.",
author = "Morris W. Hirsch",
cover = "/home/zack/Dropbox/Library/Morris W. Hirsch/Differential Topology (698)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Morris W. Hirsch/Differential Topology (698)/Differential Topology - Morris W. Hirsch.pdf:PDF",
calibreid = "698",
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year = "100",
month = "Dec",
volume = "1",
size = "13842764 octets",
timestamp = "2019-04-08",
uuid = "7ab9e43e-1868-4a53-8926-3ac6e4a277bc" }
@misc{ BrianC.Hall699,
title = "Quantum Theory for Mathematicians",
title_sort = "Quantum Theory for Mathematicians",
author_sort = "Hall, Brian C.",
author = "Brian C. Hall",
cover = "/home/zack/Dropbox/Library/Brian C. Hall/Quantum Theory for Mathematicians (699)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Brian C. Hall/Quantum Theory for Mathematicians (699)/Quantum Theory for Mathematicians - Brian C. Hall.pdf:PDF",
calibreid = "699",
library_name = "Library",
year = "2013",
month = "Jun",
volume = "1",
size = "4803193 octets",
timestamp = "2019-04-08",
uuid = "7c9b30e8-7198-4abe-878c-212e596a2fc7" }
@misc{ RobinTicciati700,
title = "Encyclopedia of Mathematics and its Applications",
title_sort = "Encyclopedia of Mathematics and its Applications",
author_sort = "Ticciati, Robin",
author = "Robin Ticciati",
cover = "/home/zack/Dropbox/Library/Robin Ticciati/Encyclopedia of Mathematics and its Applications (700)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Robin Ticciati/Encyclopedia of Mathematics and its Applications (700)/Encyclopedia of Mathematics and its Applic - Robin Ticciati.pdf:PDF",
calibreid = "700",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "56235257 octets",
timestamp = "2019-04-08",
uuid = "7fc07d38-0925-474b-9d16-bea47528d09c" }
@misc{ DusaMcDuffDietmarSalamon701,
title = "J-Holomorphic Curves and Symplectic Topology",
title_sort = "J-Holomorphic Curves and Symplectic Topology",
author_sort = "Dusa McDuff, Dietmar Salamon",
author = "Dusa McDuff, Dietmar Salamon",
cover = "/home/zack/Dropbox/Library/Dusa McDuff, Dietmar Salamon/J-Holomorphic Curves and Symplectic Topology (701)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Dusa McDuff, Dietmar Salamon/J-Holomorphic Curves and Symplectic Topology (701)/J-Holomorphic Curves and Symplectic Topolo - Dusa McDuff, Dietmar Salamon.pdf:PDF",
calibreid = "701",
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month = "Dec",
volume = "1",
size = "30443082 octets",
timestamp = "2019-04-10",
uuid = "ff4fd82f-f2e8-45ff-844c-7ce998083d7e" }
@misc{ DanielDugger702,
title = "Geometric Intro to K-Theory",
title_sort = "Geometric Intro to K-Theory",
author_sort = "Dugger, Daniel",
author = "Daniel Dugger",
cover = "/home/zack/Dropbox/Library/Daniel Dugger/Geometric Intro to K-Theory (702)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Daniel Dugger/Geometric Intro to K-Theory (702)/Geometric Intro to K-Theory - Daniel Dugger.pdf:PDF",
calibreid = "702",
library_name = "Library",
year = "2014",
month = "Feb",
volume = "1",
size = "2490206 octets",
timestamp = "2019-04-11",
uuid = "8e85dc1f-062a-4189-90ea-ac25ad8fbd77" }
@misc{ DavidEdwardsHaroldHastings703,
title = "Cech and Steenrod Homotopy Theories with Applications to Geometric Topology",
title_sort = "Cech and Steenrod Homotopy Theories with Applications to Geometric Topology",
author_sort = "David Edwards, Harold Hastings",
author = "David Edwards, Harold Hastings",
cover = "/home/zack/Dropbox/Library/David Edwards, Harold Hastings/Cech and Steenrod Homotopy Theories with Applications to Geometric Topology (703)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/David Edwards, Harold Hastings/Cech and Steenrod Homotopy Theories with Applications to Geometric Topology (703)/Cech and Steenrod Homotopy Theories with A - David Edwards, Harold Hastings.pdf:PDF",
calibreid = "703",
library_name = "Library",
year = "2007",
month = "Jun",
volume = "1",
size = "5887084 octets",
timestamp = "2019-04-11",
uuid = "befaa17e-45fd-4c86-b0ec-c40d460538cd" }
@misc{ SheldonKatz704,
title = "Enumerative Geometry and String Theory",
title_sort = "Enumerative Geometry and String Theory",
author_sort = "Katz, Sheldon",
author = "Sheldon Katz",
cover = "/home/zack/Dropbox/Library/Sheldon Katz/Enumerative Geometry and String Theory (704)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Sheldon Katz/Enumerative Geometry and String Theory (704)/Enumerative Geometry and String Theory - Sheldon Katz.pdf:PDF",
calibreid = "704",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "14458551 octets",
timestamp = "2019-04-23",
uuid = "d6aca7f4-031b-43d4-a69d-25bb70725bbc" }
@misc{ AnatolyFomenko707,
title = "Homotopical Topology",
title_sort = "Homotopical Topology",
author_sort = "Fomenko, Anatoly",
author = "Anatoly Fomenko",
cover = "/home/zack/Dropbox/Library/Anatoly Fomenko/Homotopical Topology (707)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Anatoly Fomenko/Homotopical Topology (707)/Homotopical Topology - Anatoly Fomenko.pdf:PDF",
calibreid = "707",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "29968267 octets",
timestamp = "2019-04-23",
uuid = "29012335-565c-48ac-b1c5-ba743dab9c72" }
@misc{ CharalambosD.AliprantisOwenBurkinshaw708,
title = "Principles of Real Analysis",
title_sort = "Principles of Real Analysis",
author_sort = "Charalambos D. Aliprantis, Owen Burkinshaw",
author = "Charalambos D. Aliprantis, Owen Burkinshaw",
cover = "/home/zack/Dropbox/Library/Charalambos D. Aliprantis, Owen Burkinshaw/Principles of Real Analysis (708)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Charalambos D. Aliprantis, Owen Burkinshaw/Principles of Real Analysis (708)/Principles of Real Analysis - Charalambos D. Aliprantis, Owen Burkinshaw.pdf:PDF",
calibreid = "708",
library_name = "Library",
year = "2006",
month = "May",
volume = "1",
size = "20777771 octets",
timestamp = "2019-04-23",
uuid = "04dcd303-e98a-412b-a728-b56d226e191b" }
@misc{ RobertGompfAndasStipsicz709,
title = "4-Manifolds and Kirby Calculus",
title_sort = "4-Manifolds and Kirby Calculus",
author_sort = "Robert Gompf, Andas Stipsicz",
author = "Robert Gompf, Andas Stipsicz",
cover = "/home/zack/Dropbox/Library/Robert Gompf, Andas Stipsicz/4-Manifolds and Kirby Calculus (709)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Robert Gompf, Andas Stipsicz/4-Manifolds and Kirby Calculus (709)/4-Manifolds and Kirby Calculus - Robert Gompf, Andas Stipsicz.pdf:PDF",
calibreid = "709",
library_name = "Library",
year = "2009",
month = "Oct",
volume = "1",
size = "37493913 octets",
timestamp = "2019-05-08",
uuid = "f5582e14-1bd7-4201-be90-2a3915f57a63" }
@misc{ DaleRolfsen710,
title = "Knots \& Links",
title_sort = "Knots \& Links",
author_sort = "Rolfsen, Dale",
author = "Dale Rolfsen",
cover = "/home/zack/Dropbox/Library/Dale Rolfsen/Knots \& Links (710)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Dale Rolfsen/Knots & Links (710)/Knots & Links - Dale Rolfsen.pdf:PDF",
calibreid = "710",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "18641626 octets",
timestamp = "2019-05-08",
uuid = "7ac9a225-feb0-4a51-a073-6505f8855aeb" }
@book{ J.P.May712,
title = "More Concise Algebraic Topology: Localization, Completion, and Model Categories",
title_sort = "More Concise Algebraic Topology: Localization, Completion, and Model Categories",
author_sort = "May, J. P. \& Ponto, K.",
author = "J. P. May and K. Ponto",
note = "With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. There are very few textbooks that treat fundamental topics beyond a first course, and many topics now essential to the field are not treated in any textbook. J. Peter May’s A Concise Course in Algebraic Topology addresses the standard first course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology. In this sequel, May and his coauthor, Kathleen Ponto, cover topics that are essential for algebraic topologists and others interested in algebraic topology, but that are not treated in standard texts. They focus on the localization and completion of topological spaces, model categories, and Hopf algebras. The first half of the book sets out the basic theory of localization and completion of nilpotent spaces, using the most elementary treatment the authors know of. It makes no use of simplicial techniques or model categories, and it provides full details of other necessary preliminaries. With these topics as motivation, most of the second half of the book sets out the theory of model categories, which is the central organizing framework for homotopical algebra in general. Examples from topology and homological algebra are treated in parallel. A short last part develops the basic theory of bialgebras and Hopf algebras.
",
cover = "/home/zack/Dropbox/Library/J. P. May/More Concise Algebraic Topology\_ Localization, Completion, and Model Categories (712)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/J. P. May/More Concise Algebraic Topology_ Localization, Completion, and Model Categories (712)/More Concise Algebraic Topology_ Localizat - J. P. May.pdf:PDF",
calibreid = "712",
isbn = "978-02-2651-178-8",
library_name = "Library",
year = "2012",
month = "Feb",
publisher = "University of Chicago Press",
volume = "1",
size = "3578552 octets",
tags = "Mathematics, General, Algebra, Abstract, Topology",
timestamp = "2019-05-10",
uuid = "fd072aee-cf62-46ab-9924-030fe10babaa",
languages = "eng",
identifiers = "isbn:9780226511788,google:SHhmxUPskFwC" }
@misc{ DuborivinFomenkoNovikov713,
title = "Modern Geometry - Methods and Applications Part 1 The Geometry of Surfaces, Transformation Groups, and Fields",
title_sort = "Modern Geometry - Methods and Applications Part 1 The Geometry of Surfaces, Transformation Groups, and Fields",
author_sort = "Duborivin, Fomenko, Novikov",
author = "Duborivin, Fomenko, Novikov",
cover = "/home/zack/Dropbox/Library/Duborivin, Fomenko, Novikov/Modern Geometry - Methods and Applications Part 1 The Geometry of Surfaces, Transformation Grou (713)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Duborivin, Fomenko, Novikov/Modern Geometry - Methods and Applications Part 1 The Geometry of Surfaces, Transformation Grou (713)/Modern Geometry - Methods and Applications - Duborivin, Fomenko, Novikov.pdf:PDF",
calibreid = "713",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "33627632 octets",
timestamp = "2019-05-10",
uuid = "2db6bfb1-6e6d-4db3-ad10-0507942c2463" }
@misc{ PaulG.GoerssJohnF.Jardine714,
title = "Simplicial Homotopy Theory",
title_sort = "Simplicial Homotopy Theory",
author_sort = "Paul G. Goerss, John F. Jardine",
author = "Paul G. Goerss, John F. Jardine",
note = "Mathematics, Topology
",
cover = "/home/zack/Dropbox/Library/Paul G. Goerss, John F. Jardine/Simplicial Homotopy Theory (714)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Paul G. Goerss, John F. Jardine/Simplicial Homotopy Theory (714)/Simplicial Homotopy Theory - Paul G. Goerss, John F. Jardine.pdf:PDF",
calibreid = "714",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "3513944 octets",
tags = "Mathematics, Topology, Simplicial Homotopy",
timestamp = "2019-05-10",
uuid = "d3a5031e-38e8-4632-8e77-00fbfa2c28f8" }
@misc{ Hovey715,
title = "Model Categories",
title_sort = "Model Categories",
author_sort = "Hovey",
author = "Hovey",
cover = "/home/zack/Dropbox/Library/Hovey/Model Categories (715)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Hovey/Model Categories (715)/Model Categories - Hovey.pdf:PDF",
calibreid = "715",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "1260399 octets",
timestamp = "2019-05-10",
uuid = "f2c283d5-ed2d-414f-a42c-0dafcaa8f29c" }
@misc{ JustinRoberts716,
title = "Knotes",
title_sort = "Knotes",
author_sort = "Roberts, Justin",
author = "Justin Roberts",
cover = "/home/zack/Dropbox/Library/Justin Roberts/Knotes (716)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Justin Roberts/Knotes (716)/Knotes - Justin Roberts.pdf:PDF",
calibreid = "716",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "3258160 octets",
timestamp = "2019-05-27",
uuid = "e0e5aab2-1873-4e3d-9f89-1d1be0e0d504" }
@misc{ Gruson717,
title = "A Journey Through Representation Theory",
title_sort = "Journey Through Representation Theory, A",
author_sort = "Gruson",
author = "Gruson",
cover = "/home/zack/Dropbox/Library/Gruson/A Journey Through Representation Theory (717)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Gruson/A Journey Through Representation Theory (717)/A Journey Through Representation Theory - Gruson.pdf:PDF",
calibreid = "717",
library_name = "Library",
year = "2018",
month = "Oct",
volume = "1",
size = "3370104 octets",
timestamp = "2019-05-27",
uuid = "c902f87e-b470-41c0-af16-1187062ec723" }
@misc{ SheldonAxler718,
title = "Measure, Integration \& Real Analysis",
title_sort = "Measure, Integration \& Real Analysis",
author_sort = "Axler, Sheldon",
author = "Sheldon Axler",
cover = "/home/zack/Dropbox/Library/Sheldon Axler/Measure, Integration \& Real Analysis (718)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Sheldon Axler/Measure, Integration & Real Analysis (718)/Measure, Integration & Real Analysis - Sheldon Axler.pdf:PDF",
calibreid = "718",
library_name = "Library",
year = "2019",
month = "May",
volume = "1",
size = "3670225 octets",
timestamp = "2019-05-27",
uuid = "10106f49-e93a-4380-a746-d3540082da23" }
@misc{ Quillen719,
title = "Homotopical Algebra",
title_sort = "Homotopical Algebra",
author_sort = "Quillen",
author = "Quillen",
formats = "djvu, pdf",
file = ":/home/zack/Dropbox/Library/Quillen/Homotopical Algebra (719)/Homotopical Algebra - Quillen.djvu:DJVU, :/home/zack/Dropbox/Library/Quillen/Homotopical Algebra (719)/Homotopical Algebra - Quillen.pdf:PDF",
calibreid = "719",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "4939151 octets",
timestamp = "2019-05-27",
uuid = "7a4bd2bd-21b2-4e44-a6cf-541b425c21dc" }
@misc{ Fomenko720,
title = "Visual Geometry and Topology",
title_sort = "Visual Geometry and Topology",
author_sort = "Fomenko",
author = "Fomenko",
cover = "/home/zack/Dropbox/Library/Fomenko/Visual Geometry and Topology (720)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Fomenko/Visual Geometry and Topology (720)/Visual Geometry and Topology - Fomenko.pdf:PDF",
calibreid = "720",
isbn = "978-36-4276-237-6",
library_name = "Library",
year = "2011",
month = "Nov",
volume = "1",
size = "14766252 octets",
timestamp = "2019-06-19",
uuid = "133e0a5a-a789-4999-bc4f-8f8d3ca560d6",
identifiers = "isbn:9783642762376" }
@misc{ PeteClark721,
title = "Algebraic Number Theory",
title_sort = "Algebraic Number Theory",
author_sort = "Clark, Pete",
author = "Pete Clark",
cover = "/home/zack/Dropbox/Library/Pete Clark/Algebraic Number Theory (721)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Pete Clark/Algebraic Number Theory (721)/Algebraic Number Theory - Pete Clark.pdf:PDF",
calibreid = "721",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "1124315 octets",
timestamp = "2019-06-19",
uuid = "5c7dc182-2e74-4997-9cc5-e649638c623f" }
@misc{ StevenKrantz723,
title = "A Mathematician's Survival Guide",
title_sort = "Mathematician's Survival Guide, A",
author_sort = "Krantz, Steven",
author = "Steven Krantz",
cover = "/home/zack/Dropbox/Library/Steven Krantz/A Mathematician's Survival Guide (723)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Steven Krantz/A Mathematician's Survival Guide (723)/A Mathematician's Survival Guide - Steven Krantz.pdf:PDF",
calibreid = "723",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "15065745 octets",
timestamp = "2019-07-14",
uuid = "76b2b8a9-831d-4790-aadb-5aef50f6bbbb" }
@misc{ Stein725,
title = "Real Analysis",
title_sort = "Real Analysis",
author_sort = "Stein \& Shakarchi",
author = "Stein and Shakarchi",
cover = "/home/zack/Dropbox/Library/Stein/Real Analysis (725)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Stein/Real Analysis (725)/Real Analysis - Stein.pdf:PDF",
calibreid = "725",
library_name = "Library",
year = "2007",
month = "Dec",
volume = "1",
size = "2704219 octets",
timestamp = "2019-08-13",
uuid = "fa076e0c-4f01-4337-8e72-a07b00a18077" }
@misc{ ShigeyukiMorita726,
title = "Geometry of Differential Forms",
title_sort = "Geometry of Differential Forms",
author_sort = "Morita, Shigeyuki",
author = "Shigeyuki Morita",
cover = "/home/zack/Dropbox/Library/Shigeyuki Morita/Geometry of Differential Forms (726)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Shigeyuki Morita/Geometry of Differential Forms (726)/Geometry of Differential Forms - Shigeyuki Morita.pdf:PDF",
calibreid = "726",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "18707813 octets",
timestamp = "2019-08-13",
uuid = "de506fa7-a755-42c0-a7c4-830165c9cbe8" }
@misc{ J.E.Humphreys727,
title = "Introduction to Lie Algebras and Representation Theory",
title_sort = "Introduction to Lie Algebras and Representation Theory",
author_sort = "Humphreys, J.E.",
author = "J.E. Humphreys",
cover = "/home/zack/Dropbox/Library/J.E. Humphreys/Introduction to Lie Algebras and Representation Theory (727)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/J.E. Humphreys/Introduction to Lie Algebras and Representation Theory (727)/Introduction to Lie Algebras and Represent - J.E. Humphreys.pdf:PDF",
calibreid = "727",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "15961119 octets",
timestamp = "2019-08-13",
uuid = "31a2a8a0-08da-45b8-a3f5-4168a08bdf6a" }
@misc{ Hungerford728,
title = "Algebra",
title_sort = "Algebra",
author_sort = "Hungerford",
author = "Hungerford",
cover = "/home/zack/Dropbox/Library/Hungerford/Algebra (728)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Hungerford/Algebra (728)/Algebra - Hungerford.pdf:PDF",
calibreid = "728",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "40994504 octets",
timestamp = "2019-08-15",
uuid = "adaaed5e-7b9c-4bc4-b57c-ed2a7cbb8e59" }
@misc{ AnthonyKnapp729,
title = "Lie Groups, Lie Algebras, and Cohomology",
title_sort = "Lie Groups, Lie Algebras, and Cohomology",
author_sort = "Knapp, Anthony",
author = "Anthony Knapp",
cover = "/home/zack/Dropbox/Library/Anthony Knapp/Lie Groups, Lie Algebras, and Cohomology (729)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Anthony Knapp/Lie Groups, Lie Algebras, and Cohomology (729)/Lie Groups, Lie Algebras, and Cohomology - Anthony Knapp.pdf:PDF",
calibreid = "729",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "35844952 octets",
timestamp = "2019-10-06",
uuid = "b0ed9a77-d390-4d0e-8bb9-bbd628f8be1d" }
@misc{ ALEXANDERKIRILLOVJr.730,
title = "An Introduction to Lie Groups and Lie Algebras",
title_sort = "Introduction to Lie Groups and Lie Algebras, An",
author_sort = "ALEXANDER KIRILLOV, Jr.",
author = "ALEXANDER KIRILLOV, Jr.",
cover = "/home/zack/Dropbox/Library/ALEXANDER KIRILLOV, Jr\_/An Introduction to Lie Groups and Lie Algebras (730)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/ALEXANDER KIRILLOV, Jr_/An Introduction to Lie Groups and Lie Algebras (730)/An Introduction to Lie Groups and Lie Alge - ALEXANDER KIRILLOV, Jr_.pdf:PDF",
calibreid = "730",
library_name = "Library",
year = "2008",
month = "Apr",
volume = "1",
size = "1292231 octets",
timestamp = "2019-10-06",
uuid = "7afc58a1-7957-40bb-b0b7-14446a9d2cdc" }
@misc{ DanielBump731,
title = "Lie Groups",
title_sort = "Lie Groups",
author_sort = "Bump, Daniel",
author = "Daniel Bump",
cover = "/home/zack/Dropbox/Library/Daniel Bump/Lie Groups (731)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Daniel Bump/Lie Groups (731)/Lie Groups - Daniel Bump.pdf:PDF",
calibreid = "731",
library_name = "Library",
year = "2013",
month = "Sep",
volume = "1",
size = "4593478 octets",
timestamp = "2019-10-06",
uuid = "61bca3ba-b51f-41d6-b25f-13d1a75caced" }
@misc{ Schultens732,
title = "Introduction to 3 Manifolds",
title_sort = "Introduction to 3 Manifolds",
author_sort = "Schultens",
author = "Schultens",
cover = "/home/zack/Dropbox/Library/Schultens/Introduction to 3 Manifolds (732)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Schultens/Introduction to 3 Manifolds (732)/Introduction to 3 Manifolds - Schultens.pdf:PDF",
calibreid = "732",
library_name = "Library",
year = "2015",
month = "Oct",
volume = "1",
size = "20282253 octets",
timestamp = "2019-10-06",
uuid = "b80e2440-5116-4119-ad40-aead9eb4bee2" }
@misc{ Lee734,
title = "Topological Manifolds",
title_sort = "Topological Manifolds",
author_sort = "Lee",
author = "Lee",
cover = "/home/zack/Dropbox/Library/Lee/Topological Manifolds (734)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Lee/Topological Manifolds (734)/Topological Manifolds - Lee.pdf:PDF",
calibreid = "734",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "22250650 octets",
timestamp = "2019-10-06",
uuid = "92a5471f-6cd6-4726-b102-2cf7d35cc505" }
@misc{ Unknown735,
title = "Algebra, Topology, Calculus for CS and ML",
title_sort = "Algebra, Topology, Calculus for CS and ML",
author_sort = "Unknown",
author = "Unknown",
cover = "/home/zack/Dropbox/Library/Unknown/Algebra, Topology, Calculus for CS and ML (735)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Unknown/Algebra, Topology, Calculus for CS and ML (735)/Algebra, Topology, Calculus for CS and ML - Unknown.pdf:PDF",
calibreid = "735",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "21794422 octets",
timestamp = "2019-10-18",
uuid = "a95110bf-4023-42f8-ac16-24ef1a4f6407" }
@misc{ Lee736,
title = "Introduction to Smooth Manifolds (2012)",
title_sort = "Introduction to Smooth Manifolds (2012)",
author_sort = "Lee",
author = "Lee",
cover = "/home/zack/Dropbox/Library/Lee/Introduction to Smooth Manifolds (2012) (736)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Lee/Introduction to Smooth Manifolds (2012) (736)/Introduction to Smooth Manifolds (2012) - Lee.pdf:PDF",
calibreid = "736",
library_name = "Library",
year = "2012",
month = "Aug",
volume = "1",
size = "8006231 octets",
timestamp = "2019-10-18",
uuid = "1c797940-f581-40c7-9860-159ce2e3e4ad" }
@misc{ GarrettBirkhoff737,
title = "A Survey of Modern Algebra",
title_sort = "Survey of Modern Algebra, A",
author_sort = "Birkhoff, Garrett \& Lane, Saunders Mac",
author = "Garrett Birkhoff and Saunders Mac Lane",
cover = "/home/zack/Dropbox/Library/Garrett Birkhoff/A Survey of Modern Algebra (737)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Garrett Birkhoff/A Survey of Modern Algebra (737)/A Survey of Modern Algebra - Garrett Birkhoff.pdf:PDF",
calibreid = "737",
library_name = "Library",
year = "2017",
month = "Jun",
volume = "1",
size = "11475305 octets",
timestamp = "2019-12-04",
uuid = "d8b5dce0-6056-436b-b7d3-2476369d5075" }
@misc{ VictorGuilleminAlanPollack738,
title = "Differential Topology",
title_sort = "Differential Topology",
author_sort = "Victor Guillemin, Alan Pollack",
author = "Victor Guillemin, Alan Pollack",
cover = "/home/zack/Dropbox/Library/Victor Guillemin, Alan Pollack/Differential Topology (738)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Victor Guillemin, Alan Pollack/Differential Topology (738)/Differential Topology - Victor Guillemin, Alan Pollack.pdf:PDF",
calibreid = "738",
library_name = "Library",
year = "2010",
month = "Oct",
volume = "1",
size = "3560458 octets",
timestamp = "2019-12-04",
uuid = "b66a787b-5d7b-4e68-93f1-3f321a6c264e" }
@misc{ JoeHarris739,
title = "Geometry: A First Course",
title_sort = "Geometry: A First Course",
author_sort = "Harris, Joe",
author = "Joe Harris",
formats = "djvu, pdf",
file = ":/home/zack/Dropbox/Library/Joe Harris/Geometry_ A First Course (739)/Geometry_ A First Course - Joe Harris.djvu:DJVU, :/home/zack/Dropbox/Library/Joe Harris/Geometry_ A First Course (739)/Geometry_ A First Course - Joe Harris.pdf:PDF",
calibreid = "739",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "3789540 octets",
timestamp = "2019-12-04",
uuid = "3e6a4011-22c1-4365-8003-f7b5c6c6e535" }
@misc{ WilliamFultonJoeHarris740,
title = "Representation Theory: A First Course",
title_sort = "Representation Theory: A First Course",
author_sort = "William Fulton, Joe Harris",
author = "William Fulton, Joe Harris",
cover = "/home/zack/Dropbox/Library/William Fulton, Joe Harris/Representation Theory\_ A First Course (740)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/William Fulton, Joe Harris/Representation Theory_ A First Course (740)/Representation Theory_ A First Course - William Fulton, Joe Harris.pdf:PDF",
calibreid = "740",
library_name = "Library",
year = "2011",
month = "Jan",
volume = "1",
size = "15370200 octets",
timestamp = "2019-12-04",
uuid = "388ab86b-e732-4b66-9470-d31da7c375c4" }
@misc{ BernardGelbaum741,
title = "Problems in Analysis",
title_sort = "Problems in Analysis",
author_sort = "Gelbaum",
author = "Bernard Gelbaum",
cover = "/home/zack/Dropbox/Library/Bernard Gelbaum/Problems in Analysis (741)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Bernard Gelbaum/Problems in Analysis (741)/Problems in Analysis - Bernard Gelbaum.pdf:PDF",
calibreid = "741",
library_name = "Library",
year = "2012",
month = "Mar",
volume = "1",
size = "18109098 octets",
tags = "problems",
timestamp = "2019-12-04",
uuid = "e1a25653-1b81-45ec-9ca7-bb96c0034428" }
@misc{ HassWeirThomas742,
title = "Calculus Book",
title_sort = "Calculus Book",
author_sort = "Hass, Weir, Thomas",
author = "Hass, Weir, Thomas",
cover = "/home/zack/Dropbox/Library/Hass, Weir, Thomas/Calculus Book (742)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Hass, Weir, Thomas/Calculus Book (742)/Calculus Book - Hass, Weir, Thomas.pdf:PDF",
calibreid = "742",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "62040926 octets",
timestamp = "2019-12-29",
uuid = "e434174a-11c5-476b-b01f-c9135685979d" }
@misc{ Unknown744,
title = "Sheaves and Cohomology",
title_sort = "Sheaves and Cohomology",
author_sort = "Unknown",
author = "Unknown",
cover = "/home/zack/Dropbox/Library/Unknown/Sheaves and Cohomology (744)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Unknown/Sheaves and Cohomology (744)/Sheaves and Cohomology - Unknown.pdf:PDF",
calibreid = "744",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "6194950 octets",
timestamp = "2019-12-29",
uuid = "f09909a5-8a3d-47fb-b284-ebc5ebb895cd" }
@misc{ Weibel745,
title = "Introduction to K-Theory",
title_sort = "Introduction to K-Theory",
author_sort = "Weibel",
author = "Weibel",
cover = "/home/zack/Dropbox/Library/Weibel/Introduction to K-Theory (745)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Weibel/Introduction to K-Theory (745)/Introduction to K-Theory - Weibel.pdf:PDF",
calibreid = "745",
library_name = "Library",
year = "2013",
month = "Apr",
volume = "1",
size = "4928388 octets",
timestamp = "2019-12-29",
uuid = "d3b5b128-6606-435d-a399-83e7c36d3ef2" }
@misc{ DanielFreed746,
title = "Bordism: Old and New",
title_sort = "Bordism: Old and New",
author_sort = "Freed, Daniel",
author = "Daniel Freed",
cover = "/home/zack/Dropbox/Library/Daniel Freed/Bordism\_ Old and New (746)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Daniel Freed/Bordism_ Old and New (746)/Bordism_ Old and New - Daniel Freed.pdf:PDF",
calibreid = "746",
library_name = "Library",
year = "2013",
month = "Feb",
volume = "1",
size = "7084119 octets",
timestamp = "2019-12-29",
uuid = "04c93298-29db-41da-8959-ffabefe84835" }
@misc{ Sato747,
title = "Algebraic Topology: An Intuitive Approach",
title_sort = "Algebraic Topology: An Intuitive Approach",
author_sort = "Sato",
author = "Sato",
cover = "/home/zack/Dropbox/Library/Sato/Algebraic Topology\_ An Intuitive Approach (747)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Sato/Algebraic Topology_ An Intuitive Approach (747)/Algebraic Topology_ An Intuitive Approach - Sato.pdf:PDF",
calibreid = "747",
library_name = "Library",
year = "2007",
month = "Dec",
volume = "1",
size = "4256538 octets",
timestamp = "2019-12-29",
uuid = "c152148f-1361-4452-9770-f193f55c2ebe" }
@misc{ SamBuss748,
title = "3D Computer Graphics",
title_sort = "3D Computer Graphics",
author_sort = "Buss, Sam",
author = "Sam Buss",
cover = "/home/zack/Dropbox/Library/Sam Buss/3D Computer Graphics (748)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Sam Buss/3D Computer Graphics (748)/3D Computer Graphics - Sam Buss.pdf:PDF",
calibreid = "748",
library_name = "Library",
year = "2019",
month = "May",
volume = "1",
size = "8710210 octets",
timestamp = "2019-12-29",
uuid = "50fd1be1-f60b-4fd0-af0f-8f1958049757" }
@misc{ HalseyRoydenPatrickFitzpatrick750,
title = "Real Analysis (4th Edition)",
title_sort = "Real Analysis (4th Edition)",
author_sort = "Halsey Royden, Patrick Fitzpatrick",
author = "Halsey Royden, Patrick Fitzpatrick",
note = "Prentice Hall
",
cover = "/home/zack/Dropbox/Library/Halsey Royden, Patrick Fitzpatrick/Real Analysis (4th Edition) (750)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Halsey Royden, Patrick Fitzpatrick/Real Analysis (4th Edition) (750)/Real Analysis (4th Edition) - Halsey Royden, Patrick Fitzpatrick.pdf:PDF",
calibreid = "750",
library_name = "Library",
year = "2010",
month = "Oct",
volume = "1",
size = "7795647 octets",
tags = "013143747X, 9787111313052, 9780131437470, 7111313054",
timestamp = "2019-12-29",
uuid = "7951072c-d84c-4ba7-9491-c3bc502e1151" }
@misc{ SimonPlouffe-Hoffman751,
title = "Linear Algebra",
title_sort = "Linear Algebra",
author_sort = "Hoffman, Simon Plouffe - \& Kuntze",
author = "Simon Plouffe - Hoffman and Kuntze",
cover = "/home/zack/Dropbox/Library/Simon Plouffe - Hoffman/Linear Algebra (751)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Simon Plouffe - Hoffman/Linear Algebra (751)/Linear Algebra - Simon Plouffe - Hoffman.pdf:PDF",
calibreid = "751",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "20710918 octets",
tags = "Mathematics Linear Algebra",
timestamp = "2019-12-29",
uuid = "c31622e7-40fe-49a4-8a69-ae57dae796dd" }
@misc{ ScottCorryDavidPerkinson752,
title = "Divisors and Sandpiles",
title_sort = "Divisors and Sandpiles",
author_sort = "Scott Corry, David Perkinson",
author = "Scott Corry, David Perkinson",
cover = "/home/zack/Dropbox/Library/Scott Corry, David Perkinson/Divisors and Sandpiles (752)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Scott Corry, David Perkinson/Divisors and Sandpiles (752)/Divisors and Sandpiles - Scott Corry, David Perkinson.pdf:PDF",
calibreid = "752",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "9738197 octets",
timestamp = "2019-12-29",
uuid = "04ec835c-c148-42da-95ff-8df34b8031fc" }
@misc{ Bott753,
title = "Differential Forms in Algebraic Topology",
title_sort = "Differential Forms in Algebraic Topology",
author_sort = "Bott \& Tu",
author = "Bott and Tu",
cover = "/home/zack/Dropbox/Library/Bott/Differential Forms in Algebraic Topology (753)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Bott/Differential Forms in Algebraic Topology (753)/Differential Forms in Algebraic Topology - Bott.pdf:PDF",
calibreid = "753",
library_name = "Library",
year = "2013",
month = "Jan",
volume = "1",
size = "14174925 octets",
timestamp = "2019-12-29",
uuid = "463f1223-d932-4b62-b48b-a83ae666b79c" }
@misc{ I.MartinIsaacs754,
title = "Algebra - A Graduate Course",
title_sort = "Algebra - A Graduate Course",
author_sort = "Isaacs, I. Martin",
author = "I. Martin Isaacs",
cover = "/home/zack/Dropbox/Library/I. Martin Isaacs/Algebra - A Graduate Course (754)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/I. Martin Isaacs/Algebra - A Graduate Course (754)/Algebra - A Graduate Course - I. Martin Isaacs.pdf:PDF",
calibreid = "754",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "14420761 octets",
timestamp = "2019-12-29",
uuid = "d8e0a5fc-3f2f-4dfe-9fc0-de7c2ceaed34" }
@misc{ GeorgeW.Whitehead755,
title = "Elements of Homotopy Theory",
title_sort = "Elements of Homotopy Theory",
author_sort = "Whitehead, George W.",
author = "George W. Whitehead",
cover = "/home/zack/Dropbox/Library/George W. Whitehead/Elements of Homotopy Theory (755)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/George W. Whitehead/Elements of Homotopy Theory (755)/Elements of Homotopy Theory - George W. Whitehead.pdf:PDF",
calibreid = "755",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "26195020 octets",
timestamp = "2019-12-29",
uuid = "e4b3169e-c9ae-4424-9d24-9f23fa1f1d30" }
@misc{ M.F.AtiyahI.G.MacDonald756,
title = "Commutative Algebra",
title_sort = "Commutative Algebra",
author_sort = "M. F. Atiyah, I. G. MacDonald",
author = "M. F. Atiyah, I. G. MacDonald",
cover = "/home/zack/Dropbox/Library/M. F. Atiyah, I. G. MacDonald/Commutative Algebra (756)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/M. F. Atiyah, I. G. MacDonald/Commutative Algebra (756)/Commutative Algebra - M. F. Atiyah, I. G. MacDonald.pdf:PDF",
calibreid = "756",
library_name = "Library",
year = "2010",
month = "Apr",
volume = "1",
size = "3105327 octets",
timestamp = "2020-01-15",
uuid = "05a4691d-9db0-4b56-b01e-afa5a2f73b9e" }
@misc{ JamesG.LiebeckM.W.757,
title = "Representations and Characters of Groups",
title_sort = "Representations and Characters of Groups",
author_sort = "James G., Liebeck M. W.",
author = "James G., Liebeck M. W.",
cover = "/home/zack/Dropbox/Library/James G., Liebeck M. W\_/Representations and Characters of Groups (757)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/James G., Liebeck M. W_/Representations and Characters of Groups (757)/Representations and Characters of Groups - James G., Liebeck M. W_.pdf:PDF",
calibreid = "757",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "22060249 octets",
timestamp = "2020-01-15",
uuid = "7593faf9-0b4f-4eda-a94f-76ede578523f" }
@misc{ JamesHumphreys758,
title = "Representations of Semisimple Lie Algebras in the BGG Category O",
title_sort = "Representations of Semisimple Lie Algebras in the BGG Category O",
author_sort = "Humphreys, James",
author = "James Humphreys",
cover = "/home/zack/Dropbox/Library/James Humphreys/Representations of Semisimple Lie Algebras in the BGG Category O (758)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/James Humphreys/Representations of Semisimple Lie Algebras in the BGG Category O (758)/Representations of Semisimple Lie Algebras - James Humphreys.pdf:PDF",
calibreid = "758",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "1799970 octets",
timestamp = "2020-01-15",
uuid = "8192e956-4f74-4357-9a4e-af16e454c6b4" }
@misc{ PeteClark759,
title = "Commutative Algebra",
title_sort = "Commutative Algebra",
author_sort = "Clark, Pete",
author = "Pete Clark",
cover = "/home/zack/Dropbox/Library/Pete Clark/Commutative Algebra (759)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Pete Clark/Commutative Algebra (759)/Commutative Algebra - Pete Clark.pdf:PDF",
calibreid = "759",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "2054873 octets",
timestamp = "2020-01-15",
uuid = "852da842-c106-4a20-ad22-42bc69e2119a" }
@misc{ EliasM.SteinRamiShakarchi760,
title = "Complex Analysis",
title_sort = "Complex Analysis",
author_sort = "Elias M. Stein, Rami Shakarchi",
author = "Elias M. Stein, Rami Shakarchi",
note = "9780691113852
",
cover = "/home/zack/Dropbox/Library/Elias M. Stein, Rami Shakarchi/Complex Analysis (760)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Elias M. Stein, Rami Shakarchi/Complex Analysis (760)/Complex Analysis - Elias M. Stein, Rami Shakarchi.pdf:PDF",
calibreid = "760",
isbn = "06-9111-385-8",
library_name = "Library",
year = "2005",
month = "Mar",
volume = "1",
size = "2866059 octets",
timestamp = "2020-01-15",
uuid = "8e19503c-a010-4359-97ad-febcb193c6dd",
identifiers = "isbn:0691113858" }
@misc{ Milnor761,
title = "On the h-Cobordism Theorem",
title_sort = "On the h-Cobordism Theorem",
author_sort = "Milnor",
author = "Milnor",
cover = "/home/zack/Dropbox/Library/Milnor/On the h-Cobordism Theorem (761)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Milnor/On the h-Cobordism Theorem (761)/On the h-Cobordism Theorem - Milnor.pdf:PDF",
calibreid = "761",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "3170038 octets",
timestamp = "2020-01-15",
uuid = "49c7e847-7085-4b7c-9b3d-e4b9fe8dd342" }
@misc{ EdwinH.Spanier762,
title = "Algebraic Topology",
title_sort = "Algebraic Topology",
author_sort = "Spanier, Edwin H.",
author = "Edwin H. Spanier",
cover = "/home/zack/Dropbox/Library/Edwin H. Spanier/Algebraic Topology (762)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Edwin H. Spanier/Algebraic Topology (762)/Algebraic Topology - Edwin H. Spanier.pdf:PDF",
calibreid = "762",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "23289125 octets",
timestamp = "2020-01-15",
uuid = "c29b7119-bbc1-465e-bbd8-159d19d2dfa7" }
@misc{ Taylor763,
title = "Complex Analysis",
title_sort = "Complex Analysis",
author_sort = "Taylor",
author = "Taylor",
cover = "/home/zack/Dropbox/Library/Taylor/Complex Analysis (763)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Taylor/Complex Analysis (763)/Complex Analysis - Taylor.pdf:PDF",
calibreid = "763",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "1531528 octets",
timestamp = "2020-01-15",
uuid = "abf0a77d-b293-42ab-9efa-f8b763fa9d15" }
@misc{ RodriguezKraGilman765,
title = "Complex Analysis",
title_sort = "Complex Analysis",
author_sort = "Rodriguez, Kra, Gilman",
author = "Rodriguez, Kra, Gilman",
cover = "/home/zack/Dropbox/Library/Rodriguez, Kra, Gilman/Complex Analysis (765)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Rodriguez, Kra, Gilman/Complex Analysis (765)/Complex Analysis - Rodriguez, Kra, Gilman.pdf:PDF",
calibreid = "765",
library_name = "Library",
year = "2012",
month = "Nov",
volume = "1",
size = "3117947 octets",
timestamp = "2020-01-23",
uuid = "412d9747-1697-4e9e-ba7f-6a922deacaf0" }
@misc{ SergeLang766,
title = "Complex Analysis",
title_sort = "Complex Analysis",
author_sort = "Lang, Serge",
author = "Serge Lang",
cover = "/home/zack/Dropbox/Library/Serge Lang/Complex Analysis (766)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Serge Lang/Complex Analysis (766)/Complex Analysis - Serge Lang.pdf:PDF",
calibreid = "766",
library_name = "Library",
year = "2012",
month = "Nov",
volume = "1",
size = "33194653 octets",
timestamp = "2020-01-23",
uuid = "6f9f8533-1a04-4cbb-8ed0-d0e04e51caa3" }
@misc{ AndrewPutman767,
title = "Homotopy Groups of Spheres and Low-Dimensional Topology",
title_sort = "Homotopy Groups of Spheres and Low-Dimensional Topology",
author_sort = "Putman, Andrew",
author = "Andrew Putman",
cover = "/home/zack/Dropbox/Library/Andrew Putman/Homotopy Groups of Spheres and Low-Dimensional Topology (767)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Andrew Putman/Homotopy Groups of Spheres and Low-Dimensional Topology (767)/Homotopy Groups of Spheres and Low-Dimensi - Andrew Putman.pdf:PDF",
calibreid = "767",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "277903 octets",
timestamp = "2020-03-17",
uuid = "e2612aac-d1f1-40b9-9ba1-ce9377fabe8e" }
@misc{ Unknown768,
title = "Principal Bundles and Classifying Spaces",
title_sort = "Principal Bundles and Classifying Spaces",
author_sort = "Unknown",
author = "Unknown",
cover = "/home/zack/Dropbox/Library/Unknown/Principal Bundles and Classifying Spaces (768)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Unknown/Principal Bundles and Classifying Spaces (768)/Principal Bundles and Classifying Spaces - Unknown.pdf:PDF",
calibreid = "768",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "319254 octets",
timestamp = "2020-03-17",
uuid = "2df7f73f-5df4-4863-a59e-3a92087d3242" }
@misc{ Spivak769,
title = "Elementary Mechanics From a Mathematician's Viewpoint",
title_sort = "Elementary Mechanics From a Mathematician's Viewpoint",
author_sort = "Spivak",
author = "Spivak",
cover = "/home/zack/Dropbox/Library/Spivak/Elementary Mechanics From a Mathematician's Viewpoint (769)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Spivak/Elementary Mechanics From a Mathematician's Viewpoint (769)/Elementary Mechanics From a Mathematician' - Spivak.pdf:PDF",
calibreid = "769",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "794107 octets",
timestamp = "2020-03-17",
uuid = "f11e1451-b2a5-43c0-b7fc-628f7a91b0f1" }
@misc{ StephanFackler770,
title = "Mathematical Foundations of Quantum Mechanics",
title_sort = "Mathematical Foundations of Quantum Mechanics",
author_sort = "Fackler, Stephan",
author = "Stephan Fackler",
cover = "/home/zack/Dropbox/Library/Stephan Fackler/Mathematical Foundations of Quantum Mechanics (770)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Stephan Fackler/Mathematical Foundations of Quantum Mechanics (770)/Mathematical Foundations of Quantum Mechan - Stephan Fackler.pdf:PDF",
calibreid = "770",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "821079 octets",
tags = "Mathematical Foundations of Quantum Mechanics",
timestamp = "2020-03-17",
uuid = "63f525cb-b600-43f8-a261-b734474fb1b1" }
@misc{ LorenC.Larson771,
title = "Problem Solving Through Problems",
title_sort = "Problem Solving Through Problems",
author_sort = "Larson, Loren C.",
author = "Loren C. Larson",
cover = "/home/zack/Dropbox/Library/Loren C. Larson/Problem Solving Through Problems (771)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Loren C. Larson/Problem Solving Through Problems (771)/Problem Solving Through Problems - Loren C. Larson.pdf:PDF",
calibreid = "771",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "4916858 octets",
tags = "problems",
timestamp = "2020-03-17",
uuid = "d84375f9-1cb9-479c-9e46-daa935f7065b" }
@misc{ BensonFarbDanMargalit772,
title = "A Primer on Mapping Class Groups",
title_sort = "Primer on Mapping Class Groups, A",
author_sort = "Benson Farb, Dan Margalit",
author = "Benson Farb, Dan Margalit",
note = "Princeton University Press,2011
",
cover = "/home/zack/Dropbox/Library/Benson Farb, Dan Margalit/A Primer on Mapping Class Groups (772)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Benson Farb, Dan Margalit/A Primer on Mapping Class Groups (772)/A Primer on Mapping Class Groups - Benson Farb, Dan Margalit.pdf:PDF",
calibreid = "772",
library_name = "Library",
year = "2011",
month = "Aug",
volume = "1",
size = "2876281 octets",
tags = "Princeton University Press, 2011, 9780691147949",
timestamp = "2020-03-17",
uuid = "3f1b7c22-cfc6-46fc-8816-df8ee1288097" }
@misc{ Silverman773,
title = "The Arithmetic of Elliptic Curves",
title_sort = "Arithmetic of Elliptic Curves, The",
author_sort = "Silverman",
author = "Silverman",
cover = "/home/zack/Dropbox/Library/Silverman/The Arithmetic of Elliptic Curves (773)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Silverman/The Arithmetic of Elliptic Curves (773)/The Arithmetic of Elliptic Curves - Silverman.pdf:PDF",
calibreid = "773",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "12186318 octets",
timestamp = "2020-03-17",
uuid = "abe933d5-ff6f-42bd-8c57-d33f7ef51648" }
@misc{ Serre774,
title = "Lie Groups and Lie Algebras",
title_sort = "Lie Groups and Lie Algebras",
author_sort = "Serre",
author = "Serre",
cover = "/home/zack/Dropbox/Library/Serre/Lie Groups and Lie Algebras (774)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Serre/Lie Groups and Lie Algebras (774)/Lie Groups and Lie Algebras - Serre.pdf:PDF",
calibreid = "774",
library_name = "Library",
year = "2008",
month = "Dec",
volume = "1",
size = "3861800 octets",
timestamp = "2020-03-17",
uuid = "f4cd21d0-f508-4ffc-a6e0-7f8d867cdf3c" }
@misc{ StevenWeinberg776,
title = "Lectures on Quantum Mechanics",
title_sort = "Lectures on Quantum Mechanics",
author_sort = "Weinberg, Steven",
author = "Steven Weinberg",
cover = "/home/zack/Dropbox/Library/Steven Weinberg/Lectures on Quantum Mechanics (776)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Steven Weinberg/Lectures on Quantum Mechanics (776)/Lectures on Quantum Mechanics - Steven Weinberg.pdf:PDF",
calibreid = "776",
library_name = "Library",
year = "2013",
month = "Mar",
volume = "1",
size = "1971828 octets",
timestamp = "2020-04-11",
uuid = "ed2d2908-4b58-4403-a87a-5ff9f387b3e4" }
@misc{ EinarHille777,
title = "Analytic Function Theory",
title_sort = "Analytic Function Theory",
author_sort = "Hille, Einar",
author = "Einar Hille",
cover = "/home/zack/Dropbox/Library/Einar Hille/Analytic Function Theory (777)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Einar Hille/Analytic Function Theory (777)/Analytic Function Theory - Einar Hille.pdf:PDF",
calibreid = "777",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "21922813 octets",
timestamp = "2020-04-11",
uuid = "2e436ce3-2628-468f-8e93-9bdd6aeed6ec" }
@misc{ Audin778,
title = "Morse Theory and Floer Homology",
title_sort = "Morse Theory and Floer Homology",
author_sort = "Audin \& Damian",
author = "Audin and Damian",
cover = "/home/zack/Dropbox/Library/Audin/Morse Theory and Floer Homology (778)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Audin/Morse Theory and Floer Homology (778)/Morse Theory and Floer Homology - Audin.pdf:PDF",
calibreid = "778",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "9921826 octets",
timestamp = "2020-04-11",
uuid = "272129c1-5dd1-4b7b-b5b0-73786ccccd85" }
@misc{ Barnes779,
title = "Foundations of Stable Homotopy Theory",
title_sort = "Foundations of Stable Homotopy Theory",
author_sort = "Barnes",
author = "Barnes",
cover = "/home/zack/Dropbox/Library/Barnes/Foundations of Stable Homotopy Theory (779)/cover.jpg",
formats = "pdf",
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calibreid = "779",
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size = "2176212 octets",
timestamp = "2020-06-13",
uuid = "02d2dc1d-d2c4-4d9d-b51c-5ec7895a6c04" }
@misc{ JamesS.Milne780,
title = "A Primer of Commutative Algebra",
title_sort = "Primer of Commutative Algebra, A",
author_sort = "Milne, James S.",
author = "James S. Milne",
cover = "/home/zack/Dropbox/Library/James S. Milne/A Primer of Commutative Algebra (780)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/James S. Milne/A Primer of Commutative Algebra (780)/A Primer of Commutative Algebra - James S. Milne.pdf:PDF",
calibreid = "780",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "924272 octets",
tags = "commutative algebra",
timestamp = "2020-06-13",
uuid = "85a3a05d-494d-45fc-852a-cc33f6796c60" }
@misc{ EmilyRiehl781,
title = "Elements of Infty-Category Theory",
title_sort = "Elements of Infty-Category Theory",
author_sort = "Riehl, Emily",
author = "Emily Riehl",
cover = "/home/zack/Dropbox/Library/Emily Riehl/Elements of Infty-Category Theory (781)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Emily Riehl/Elements of Infty-Category Theory (781)/Elements of Infty-Category Theory - Emily Riehl.pdf:PDF",
calibreid = "781",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "4391525 octets",
timestamp = "2020-06-13",
uuid = "68f442d2-aee3-4f40-b1f6-afad34a32553" }
@misc{ Kirillov782,
title = "Intro to Lie Groups and Lie Algebras",
title_sort = "Intro to Lie Groups and Lie Algebras",
author_sort = "Kirillov",
author = "Kirillov",
cover = "/home/zack/Dropbox/Library/Kirillov/Intro to Lie Groups and Lie Algebras (782)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Kirillov/Intro to Lie Groups and Lie Algebras (782)/Intro to Lie Groups and Lie Algebras - Kirillov.pdf:PDF",
calibreid = "782",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "1049036 octets",
timestamp = "2020-06-13",
uuid = "b678f024-3cd8-4b9e-a89f-cf1527d8c87f" }
@book{ CrystalMarieFleming783,
title = "How to Be Less Stupid About Race",
title_sort = "How to Be Less Stupid About Race",
author_sort = "Fleming, Crystal M.",
author = "Crystal Marie Fleming",
note = "**A unique and irreverent take on everything that's wrong with our {"}national conversation about race{"} --and what to do about it**
*How to Be Less Stupid About Race* is your essential guide to breaking through the half-truths and ridiculous misconceptions that have thoroughly corrupted the way race is represented in the classroom, pop culture, media, and politics. Centuries after our nation was founded on genocide, settler colonialism, and slavery, many Americans are kinda-sorta-maybe waking up to the reality that our racial politics are (still) garbage. But in the midst of this reckoning, widespread denial and misunderstandings about race persist, even as white supremacy and racial injustice are more visible than ever before.
Combining no-holds-barred social critique, humorous personal anecdotes, and analysis of the latest interdisciplinary scholarship on systemic racism, sociologist Crystal M. Fleming provides a fresh, accessible, and irreverent take on...
",
cover = "/home/zack/Dropbox/Library/Crystal Marie Fleming/How to Be Less Stupid About Race (783)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Crystal Marie Fleming/How to Be Less Stupid About Race (783)/How to Be Less Stupid About Race - Crystal Marie Fleming.pdf:PDF",
calibreid = "783",
library_name = "Library",
year = "2018",
month = "Sep",
publisher = "Beacon Press",
volume = "1",
size = "1259272 octets",
timestamp = "2020-06-13",
uuid = "0ee94e37-bbaf-4327-9e80-4a22562f4c62",
languages = "eng" }
@book{ IjeomaOluo784,
title = "So You Want to Talk About Race",
title_sort = "So You Want to Talk About Race",
author_sort = "Oluo, Ijeoma",
author = "Ijeoma Oluo",
cover = "/home/zack/Dropbox/Library/Ijeoma Oluo/So You Want to Talk About Race (784)/cover.jpg",
formats = "epub",
file = ":/home/zack/Dropbox/Library/Ijeoma Oluo/So You Want to Talk About Race (784)/So You Want to Talk About Race - Ijeoma Oluo.epub:EPUB",
calibreid = "784",
library_name = "Library",
year = "2018",
month = "Jan",
publisher = "Seal Press",
volume = "1",
size = "259464 octets",
timestamp = "2020-06-13",
uuid = "3ac06867-7ced-4713-8e3f-91e523e130df",
languages = "eng" }
@book{ LaraAlcock785,
title = "How to Study for a Mathematics Degree",
title_sort = "How to Study for a Mathematics Degree",
author_sort = "Alcock, Lara",
author = "Lara Alcock",
cover = "/home/zack/Dropbox/Library/Lara Alcock/How to Study for a Mathematics Degree (785)/cover.jpg",
formats = "epub",
file = ":/home/zack/Dropbox/Library/Lara Alcock/How to Study for a Mathematics Degree (785)/How to Study for a Mathematics Degree - Lara Alcock.epub:EPUB",
calibreid = "785",
library_name = "Library",
year = "2012",
month = "Nov",
publisher = "Oxford University Press",
volume = "1",
size = "759195 octets",
timestamp = "2020-06-13",
uuid = "d1512188-bc9a-4514-a010-5a223457b847",
languages = "eng",
identifiers = "mobi-asin:B009XQVRSQ" }
@misc{ RaviVakil786,
title = "The Rising Sea: Foundations of Algebraic Geometry",
title_sort = "Rising Sea: Foundations of Algebraic Geometry, The",
author_sort = "Vakil, Ravi",
author = "Ravi Vakil",
cover = "/home/zack/Dropbox/Library/Ravi Vakil/The Rising Sea\_ Foundations of Algebraic Geometry (786)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Ravi Vakil/The Rising Sea_ Foundations of Algebraic Geometry (786)/The Rising Sea_ Foundations of Algebraic G - Ravi Vakil.pdf:PDF",
calibreid = "786",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "9218513 octets",
timestamp = "2020-06-14",
uuid = "430e949d-1575-400d-99e1-9f2f7486177e" }
@misc{ BabuRam787,
title = "Engineering Mathematics",
title_sort = "Engineering Mathematics",
author_sort = "Ram, Babu",
author = "Babu Ram",
cover = "/home/zack/Dropbox/Library/Babu Ram/Engineering Mathematics (787)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Babu Ram/Engineering Mathematics (787)/Engineering Mathematics - Babu Ram.pdf:PDF",
calibreid = "787",
library_name = "Library",
year = "2012",
month = "Dec",
volume = "1",
size = "17054318 octets",
timestamp = "2020-07-01",
uuid = "2da89403-5e02-4c67-b38f-18c0a40ee4f9" }
@misc{ (GraduateStudiesinMathematicsV.19GSM19)LawrenceC.Evans788,
title = "Partial Differential Equations",
title_sort = "Partial Differential Equations-American Mathematical Society (1998)",
author_sort = "Evans, Lawrence C.",
author = "(Graduate Studies in Mathematics, V. 19 GSM 19) Lawrence C. Evans",
formats = "djvu",
file = ":/home/zack/Dropbox/Library/(Graduate Studies in Mathematics, V. 19 GSM 19) Lawrence C. Evans/Partial Differential Equations (788)/Partial Differential Equations - (Graduate Studies in Mathematics, V. 19 GS.djvu:DJVU",
calibreid = "788",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "4982573 octets",
timestamp = "2020-07-01",
uuid = "d088ea5b-146d-45ae-8451-fff96beb5b1b" }
@misc{ AlexandruScorpan789,
title = "The Wild World of 4-Manifolds",
title_sort = "Wild World of 4-Manifolds, The",
author_sort = "Scorpan, Alexandru",
author = "Alexandru Scorpan",
cover = "/home/zack/Dropbox/Library/Alexandru Scorpan/The Wild World of 4-Manifolds (789)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Alexandru Scorpan/The Wild World of 4-Manifolds (789)/The Wild World of 4-Manifolds - Alexandru Scorpan.pdf:PDF",
calibreid = "789",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "14058317 octets",
timestamp = "2020-07-01",
uuid = "b1477114-0af0-40ea-986f-d36d9f4d498b" }
@misc{ John-PierreSerre790,
title = "Trees",
title_sort = "Trees",
author_sort = "Serre, John-Pierre",
author = "John-Pierre Serre",
cover = "/home/zack/Dropbox/Library/John-Pierre Serre/Trees (790)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/John-Pierre Serre/Trees (790)/Trees - John-Pierre Serre.pdf:PDF",
calibreid = "790",
library_name = "Library",
year = "2011",
month = "Jun",
volume = "1",
size = "9960193 octets",
timestamp = "2020-07-01",
uuid = "3ae85081-b0ed-4eae-bd36-8aae0307e90c" }
@misc{ PETERKRONHEIMER791,
title = "Monopoles and Three-Manifolds",
title_sort = "Monopoles and Three-Manifolds",
author_sort = "KRONHEIMER, PETER \& MROWKA, TOMASZ",
author = "PETER KRONHEIMER and TOMASZ MROWKA",
cover = "/home/zack/Dropbox/Library/PETER KRONHEIMER/Monopoles and Three-Manifolds (791)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/PETER KRONHEIMER/Monopoles and Three-Manifolds (791)/Monopoles and Three-Manifolds - PETER KRONHEIMER.pdf:PDF",
calibreid = "791",
library_name = "Library",
year = "2007",
month = "Nov",
volume = "1",
size = "5117033 octets",
timestamp = "2020-07-01",
uuid = "05d2de8f-7293-461b-aac2-825e8609a04b" }
@misc{ KiranS.KedlayaBjornPoonenRaviVakil792,
title = "The William Lowell Putnam Mathematical Competition 1985-2000 Problems, Solutions \& Commentary",
title_sort = "William Lowell Putnam Mathematical Competition 1985-2000 Problems, Solutions \& Commentary-The Mathematical Association of, The",
author_sort = "(MAA Problem Book Series) Kiran S. Kedlaya, Bjorn Poonen, Ravi Vakil",
author = "Kiran S. Kedlaya, Bjorn Poonen, Ravi Vakil",
cover = "/home/zack/Dropbox/Library/Kiran S. Kedlaya, Bjorn Poonen, Ravi Vakil/The William Lowell Putnam Mathematical Competition 1985-2000 Problems, Solutions \& Commentary (792)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Kiran S. Kedlaya, Bjorn Poonen, Ravi Vakil/The William Lowell Putnam Mathematical Competition 1985-2000 Problems, Solutions & Commentary (792)/The William Lowell Putnam Mathematical Com - Kiran S. Kedlaya, Bjorn Poonen, Ravi Vakil.pdf:PDF",
calibreid = "792",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "2129962 octets",
tags = "problems",
timestamp = "2020-07-01",
uuid = "63856244-29e6-4403-af69-406869e2ce5a" }
@misc{ TorstenWedhorn794,
title = "Manifolds, Sheaves \& Cohomo",
title_sort = "Manifolds, Sheaves \& Cohomo",
author_sort = "Wedhorn, Torsten",
author = "Torsten Wedhorn",
cover = "/home/zack/Dropbox/Library/Torsten Wedhorn/Manifolds, Sheaves \& Cohomo (794)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Torsten Wedhorn/Manifolds, Sheaves & Cohomo (794)/Manifolds, Sheaves & Cohomo - Torsten Wedhorn.pdf:PDF",
calibreid = "794",
library_name = "Library",
year = "2016",
month = "Jul",
volume = "1",
size = "6135922 octets",
timestamp = "2020-07-01",
uuid = "8a1254eb-504b-4243-aab1-c9a83ca17ff0" }
@misc{ EberhardFreitagRolfBusam795,
title = "Complex Analysis",
title_sort = "Complex Analysis",
author_sort = "Eberhard Freitag, Rolf Busam",
author = "Eberhard Freitag, Rolf Busam",
cover = "/home/zack/Dropbox/Library/Eberhard Freitag, Rolf Busam/Complex Analysis (795)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Eberhard Freitag, Rolf Busam/Complex Analysis (795)/Complex Analysis - Eberhard Freitag, Rolf Busam.pdf:PDF",
calibreid = "795",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "3084727 octets",
timestamp = "2020-07-01",
uuid = "e0e70f37-bdab-4349-b1a5-181f1babc3b5" }
@misc{ MichaelTaylor796,
title = "Complex Analysis",
title_sort = "Complex Analysis",
author_sort = "Taylor, Michael",
author = "Michael Taylor",
cover = "/home/zack/Dropbox/Library/Michael Taylor/Complex Analysis (796)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Michael Taylor/Complex Analysis (796)/Complex Analysis - Michael Taylor.pdf:PDF",
calibreid = "796",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "1531652 octets",
timestamp = "2020-07-22",
uuid = "13ca8cc1-a13f-4b78-a2e7-7ca0eded9da8" }
@misc{ LengM.(ed.)PaseauA.(ed.)PotterM.(ed.)797,
title = "Mathematical Knowledge",
title_sort = "Mathematical Knowledge",
author_sort = "Leng M. (ed.), Paseau A. (ed.), Potter M. (ed.)",
author = "Leng M. (ed.), Paseau A. (ed.), Potter M. (ed.)",
cover = "/home/zack/Dropbox/Library/Leng M. (ed.), Paseau A. (ed.), Potter M. (ed.)/Mathematical Knowledge (797)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Leng M. (ed.), Paseau A. (ed.), Potter M. (ed.)/Mathematical Knowledge (797)/Mathematical Knowledge - Leng M. (ed.), Paseau A. (ed.), Potter M. .pdf:PDF",
calibreid = "797",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "2137391 octets",
timestamp = "2020-07-22",
uuid = "9d5577fe-f7c9-434b-aa57-4c38be49e2d0" }
@misc{ ChristianKasselVladimirTuraev798,
title = "Braid Groups",
title_sort = "Braid Groups",
author_sort = "Christian Kassel, Vladimir Turaev",
author = "Christian Kassel, Vladimir Turaev",
cover = "/home/zack/Dropbox/Library/Christian Kassel, Vladimir Turaev/Braid Groups (798)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Christian Kassel, Vladimir Turaev/Braid Groups (798)/Braid Groups - Christian Kassel, Vladimir Turaev.pdf:PDF",
calibreid = "798",
library_name = "Library",
year = "2008",
month = "Jun",
volume = "1",
size = "3551381 octets",
timestamp = "2020-07-22",
uuid = "e1e6b5b8-738b-46bb-b9aa-8e9165896315" }
@misc{ AntonioCaminhaMunizNeto799,
title = "An Excursion through Elementary Mathematics, Volume I Real Numbers \& Functions",
title_sort = "Excursion through Elementary Mathematics, Volume I Real Numbers \& Functions, An",
author_sort = "Neto, Antonio Caminha Muniz",
author = "Antonio Caminha Muniz Neto",
cover = "/home/zack/Dropbox/Library/Antonio Caminha Muniz Neto/An Excursion through Elementary Mathematics, Volume I Real Numbers \& Functions (799)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Antonio Caminha Muniz Neto/An Excursion through Elementary Mathematics, Volume I Real Numbers & Functions (799)/An Excursion through Elementary Mathematic - Antonio Caminha Muniz Neto.pdf:PDF",
calibreid = "799",
library_name = "Library",
year = "2017",
month = "Mar",
volume = "1",
size = "9104144 octets",
timestamp = "2020-07-22",
uuid = "2221a983-1318-4c51-83c4-46ea15848c3d" }
@misc{ AntonioCaminhaMunizNeto800,
title = "An Excusrion through Elementary Mathematics, Volume III",
title_sort = "Excusrion through Elementary Mathematics, Volume III, An",
author_sort = "Neto, Antonio Caminha Muniz",
author = "Antonio Caminha Muniz Neto",
cover = "/home/zack/Dropbox/Library/Antonio Caminha Muniz Neto/An Excusrion through Elementary Mathematics, Volume III (800)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Antonio Caminha Muniz Neto/An Excusrion through Elementary Mathematics, Volume III (800)/An Excusrion through Elementary Mathematic - Antonio Caminha Muniz Neto.pdf:PDF",
calibreid = "800",
library_name = "Library",
year = "2018",
month = "Apr",
volume = "1",
size = "6241356 octets",
timestamp = "2020-07-22",
uuid = "9e2d41c8-df42-4c4f-93d2-e98a2db59d46" }
@misc{ WilliamFulton801,
title = "Algebraic Curves An Introduction to Algebraic Geometry",
title_sort = "Algebraic Curves An Introduction to Algebraic Geometry",
author_sort = "Fulton, William",
author = "William Fulton",
cover = "/home/zack/Dropbox/Library/William Fulton/Algebraic Curves An Introduction to Algebraic Geometry (801)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/William Fulton/Algebraic Curves An Introduction to Algebraic Geometry (801)/Algebraic Curves An Introduction to Algebr - William Fulton.pdf:PDF",
calibreid = "801",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "706311 octets",
timestamp = "2020-07-22",
uuid = "9f94e94b-070d-4723-912e-7d32fc24a27d" }
@misc{ TheodoreW.Gamelin802,
title = "Complex Analysis",
title_sort = "Complex Analysis",
author_sort = "Gamelin, Theodore W.",
author = "Theodore W. Gamelin",
cover = "/home/zack/Dropbox/Library/Theodore W. Gamelin/Complex Analysis (802)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Theodore W. Gamelin/Complex Analysis (802)/Complex Analysis - Theodore W. Gamelin.pdf:PDF",
calibreid = "802",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "35126805 octets",
timestamp = "2020-07-22",
uuid = "c1953e2b-6844-4934-8035-5f2789f260ab" }
@misc{ MartinSchlichenmaier803,
title = "An Introduction to Riemann Surfaces, Algebraic Curves, and Moduli Spaces",
title_sort = "Mirror Moduli",
author_sort = "Schlichenmaier, Martin",
author = "Martin Schlichenmaier",
cover = "/home/zack/Dropbox/Library/Martin Schlichenmaier/An Introduction to Riemann Surfaces, Algebraic Curves, and Moduli Spaces (803)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Martin Schlichenmaier/An Introduction to Riemann Surfaces, Algebraic Curves, and Moduli Spaces (803)/An Introduction to Riemann Surfaces, Algeb - Martin Schlichenmaier.pdf:PDF",
calibreid = "803",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "83383 octets",
timestamp = "2020-08-20",
uuid = "79f50eb0-e7a0-466c-b17a-1a5f3edf0d49" }
@misc{ Jantzen804,
title = "Representations of Algebraic Groups",
title_sort = "Representations of Algebraic Groups",
author_sort = "Jantzen",
author = "Jantzen",
cover = "/home/zack/Dropbox/Library/Jantzen/Representations of Algebraic Groups (804)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Jantzen/Representations of Algebraic Groups (804)/Representations of Algebraic Groups - Jantzen.pdf:PDF",
calibreid = "804",
library_name = "Library",
year = "2020",
month = "Aug",
volume = "1",
size = "53303053 octets",
timestamp = "2020-08-20",
uuid = "eef88d7b-e44b-407c-a1b6-fa87016cf2a5" }
@misc{ CarterRogerW.805,
title = "Finite groups of Lie type conjugacy classes \& complex characters",
title_sort = "Finite groups of Lie type conjugacy classes \& complex characters",
author_sort = "Carter, Roger W.",
author = "Carter, Roger W.",
cover = "/home/zack/Dropbox/Library/Carter, Roger W\_/Finite groups of Lie type conjugacy classes \& complex characters (805)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Carter, Roger W_/Finite groups of Lie type conjugacy classes & complex characters (805)/Finite groups of Lie type conjugacy classe - Carter, Roger W_.pdf:PDF",
calibreid = "805",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "15278790 octets",
timestamp = "2020-08-23",
uuid = "da4b8e0d-bda1-4855-8d8f-cdc031ac228f" }
@misc{ HenningStichtenoth806,
title = "Algebraic Function Fields and Codes",
title_sort = "Algebraic Function Fields and Codes",
author_sort = "Stichtenoth, Henning",
author = "Henning Stichtenoth",
cover = "/home/zack/Dropbox/Library/Henning Stichtenoth/Algebraic Function Fields and Codes (806)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Henning Stichtenoth/Algebraic Function Fields and Codes (806)/Algebraic Function Fields and Codes - Henning Stichtenoth.pdf:PDF",
calibreid = "806",
library_name = "Library",
year = "2009",
month = "Feb",
volume = "1",
size = "3968954 octets",
timestamp = "2020-08-23",
uuid = "c50486ee-a9ee-4682-a933-6da2fe024805" }
@misc{ RobertFriedmanJohnMorgan807,
title = "Gauge Theory \& the Topology of Four-Manifolds",
title_sort = "Gauge Theory \& the Topology of Four-Manifolds",
author_sort = "Robert Friedman, John Morgan",
author = "Robert Friedman, John Morgan",
cover = "/home/zack/Dropbox/Library/Robert Friedman, John Morgan/Gauge Theory \& the Topology of Four-Manifolds (807)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Robert Friedman, John Morgan/Gauge Theory & the Topology of Four-Manifolds (807)/Gauge Theory & the Topology of Four-Manifo - Robert Friedman, John Morgan.pdf:PDF",
calibreid = "807",
library_name = "Library",
year = "2017",
month = "Dec",
volume = "1",
size = "17644031 octets",
timestamp = "2020-09-04",
uuid = "19601e64-d6c9-441a-9fc6-0011639f354d" }
@misc{ MartinGolubitskyVictorGuillemin(auth.)808,
title = "Stable Mappings \& Their Singularities",
title_sort = "Stable Mappings \& Their Singularities",
author_sort = "Martin Golubitsky, Victor Guillemin (auth.)",
author = "Martin Golubitsky, Victor Guillemin (auth.)",
cover = "/home/zack/Dropbox/Library/Martin Golubitsky, Victor Guillemin (auth.)/Stable Mappings \& Their Singularities (808)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Martin Golubitsky, Victor Guillemin (auth.)/Stable Mappings & Their Singularities (808)/Stable Mappings & Their Singularities - Martin Golubitsky, Victor Guillemin (auth.pdf:PDF",
calibreid = "808",
library_name = "Library",
year = "2012",
month = "Feb",
volume = "1",
size = "8934392 octets",
timestamp = "2020-09-04",
uuid = "3e2a8282-fbbf-4724-8765-6395d2b0cc09" }
@misc{ PatrickMorandi810,
title = "Field \& Galois Theory",
title_sort = "Field \& Galois Theory-Springer (1996)",
author_sort = "Morandi, Patrick",
author = "Patrick Morandi",
cover = "/home/zack/Dropbox/Library/Patrick Morandi/Field \& Galois Theory (810)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Patrick Morandi/Field & Galois Theory (810)/Field & Galois Theory - Patrick Morandi.pdf:PDF",
calibreid = "810",
library_name = "Library",
year = "2008",
month = "Dec",
volume = "1",
size = "7298370 octets",
timestamp = "2020-09-13",
uuid = "98a47ab2-9562-4b31-8526-d343b026ed3f" }
@misc{ AignerZiegler811,
title = "Proofs from the Book",
title_sort = "Proofs from the Book",
author_sort = "Aigner, Ziegler",
author = "Aigner, Ziegler",
cover = "/home/zack/Dropbox/Library/Aigner, Ziegler/Proofs from the Book (811)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Aigner, Ziegler/Proofs from the Book (811)/Proofs from the Book - Aigner, Ziegler.pdf:PDF",
calibreid = "811",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "8309129 octets",
timestamp = "2020-09-13",
uuid = "0563ad51-a45c-4817-a75f-e542873072ce" }
@misc{ T.Y.Lam812,
title = "Exercises in Classical Ring Theory",
title_sort = "Exercises in Classical Ring Theory",
author_sort = "Lam, T.Y.",
author = "T.Y. Lam",
cover = "/home/zack/Dropbox/Library/T.Y. Lam/Exercises in Classical Ring Theory (812)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/T.Y. Lam/Exercises in Classical Ring Theory (812)/Exercises in Classical Ring Theory - T.Y. Lam.pdf:PDF",
calibreid = "812",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "1594407 octets",
timestamp = "2020-09-13",
uuid = "3c0387ef-8518-44e1-88a5-edde8dcad890" }
@misc{ JohnB.Fraleigh813,
title = "A First Course in Abstract Algebra Solution Manual",
title_sort = "First Course in Abstract Algebra Solution Manual, A",
author_sort = "Fraleigh, John B.",
author = "John B. Fraleigh",
cover = "/home/zack/Dropbox/Library/John B. Fraleigh/A First Course in Abstract Algebra Solution Manual (813)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/John B. Fraleigh/A First Course in Abstract Algebra Solution Manual (813)/A First Course in Abstract Algebra Solutio - John B. Fraleigh.pdf:PDF",
calibreid = "813",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "1608361 octets",
timestamp = "2020-09-13",
uuid = "c2bbe879-6d0f-40d0-b7b4-48a5546c1613" }
@misc{ W.J.KaczorM.T.Nowak814,
title = "Problems in Mathematical Analysis ll Continuity \& Differentiation. Volume 2-",
title_sort = "Problems in Mathematical Analysis ll Continuity \& Differentiation. Volume 2-",
author_sort = "W. J. Kaczor, M. T. Nowak",
author = "W. J. Kaczor, M. T. Nowak",
formats = "djvu",
file = ":/home/zack/Dropbox/Library/W. J. Kaczor, M. T. Nowak/Problems in Mathematical Analysis ll Continuity & Differentiation. Volume 2- (814)/Problems in Mathematical Analysis ll Conti - W. J. Kaczor, M. T. Nowak.djvu:DJVU",
calibreid = "814",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "12409674 octets",
timestamp = "2020-09-13",
uuid = "b2350491-1d54-4228-8d92-d3bcd7a14d16" }
@misc{ W.J.KaczorM.T.Nowak815,
title = "Problems in Mathematical Analysis I Real Numbers, Sequences \& Series",
title_sort = "Problems in Mathematical Analysis I Real Numbers, Sequences \& Series",
author_sort = "W. J. Kaczor, M. T. Nowak",
author = "W. J. Kaczor, M. T. Nowak",
formats = "djvu",
file = ":/home/zack/Dropbox/Library/W. J. Kaczor, M. T. Nowak/Problems in Mathematical Analysis I Real Numbers, Sequences & Series (815)/Problems in Mathematical Analysis I Real N - W. J. Kaczor, M. T. Nowak.djvu:DJVU",
calibreid = "815",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "15798711 octets",
timestamp = "2020-09-13",
uuid = "02366051-f91f-48c5-96a0-1e443f4b2354" }
@misc{ W.J.KaczorM.T.NowakAmericanMathematicalSociety816,
title = "Problems in Mathematical Analysis III Integration",
title_sort = "Problems in Mathematical Analysis III Integration",
author_sort = "W. J. Kaczor, M. T. Nowak, American Mathematical Society",
author = "W. J. Kaczor, M. T. Nowak, American Mathematical Society",
formats = "djvu",
file = ":/home/zack/Dropbox/Library/W. J. Kaczor, M. T. Nowak, American Mathematical Society/Problems in Mathematical Analysis III Integration (816)/Problems in Mathematical Analysis III Inte - W. J. Kaczor, M. T. Nowak, American Mathem.djvu:DJVU",
calibreid = "816",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "13428791 octets",
timestamp = "2020-09-13",
uuid = "ac0e6ae4-3241-480d-9800-114d55d749a4" }
@misc{ AntonPetrunin817,
title = "Puzzles in geometry that I know and love",
title_sort = "Puzzles in geometry that I know and love",
author_sort = "Petrunin, Anton",
author = "Anton Petrunin",
cover = "/home/zack/Dropbox/Library/Anton Petrunin/Puzzles in geometry that I know and love (817)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Anton Petrunin/Puzzles in geometry that I know and love (817)/Puzzles in geometry that I know and love - Anton Petrunin.pdf:PDF",
calibreid = "817",
library_name = "Library",
year = "2020",
month = "Mar",
volume = "1",
size = "5237005 octets",
tags = "Geometry",
timestamp = "2020-10-01",
uuid = "9657216f-b9c4-49cd-9725-d21f07eb33a3" }
@misc{ QuantumComputation818,
title = "Michael A. Nielsen, Isaac L. Chuang",
title_sort = "Michael A. Nielsen, Isaac L. Chuang",
author_sort = "Computation, Quantum \& Press, Quantum Information 10th Anniversary Edition-Cambridge University",
author = "Quantum Computation and Quantum Information 10th Anniversary Edition-Cambridge University Press (2011)",
cover = "/home/zack/Dropbox/Library/Quantum Computation/Michael A. Nielsen, Isaac L. Chuang (818)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Quantum Computation/Michael A. Nielsen, Isaac L. Chuang (818)/Michael A. Nielsen, Isaac L. Chuang - Quantum Computation.pdf:PDF",
calibreid = "818",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "6944657 octets",
timestamp = "2020-10-01",
uuid = "b8fcd730-1cf2-490b-9ff0-efc3149cab47" }
@misc{ Elementsofsettheoryvol1-AcademicPress(1977)819,
title = "Herbert B. Enderton",
title_sort = "Herbert B. Enderton",
author_sort = "Press, Elements of set theory vol 1-Academic",
author = "Elements of set theory vol 1-Academic Press (1977)",
cover = "/home/zack/Dropbox/Library/Elements of set theory vol 1-Academic Press (1977)/Herbert B. Enderton (819)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Elements of set theory vol 1-Academic Press (1977)/Herbert B. Enderton (819)/Herbert B. Enderton - Elements of set theory vol 1-Academic Pres.pdf:PDF",
calibreid = "819",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "8707769 octets",
timestamp = "2020-10-01",
uuid = "9c785300-acd3-4e18-9093-91221d9a0a28" }
@misc{ Unknown820,
title = "Quasigroups and loops Introduction by Hala O. Pflugfelder (z-lib.org)",
title_sort = "Quasigroups and loops Introduction by Hala O. Pflugfelder (z-lib.org)",
author_sort = "Unknown",
author = "Unknown",
formats = "djvu",
file = ":/home/zack/Dropbox/Library/Unknown/Quasigroups and loops Introduction by Hala O. Pflugfelder (z-lib.org) (820)/Quasigroups and loops Introduction by Hala - Unknown.djvu:DJVU",
calibreid = "820",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "2798838 octets",
timestamp = "2020-10-21",
uuid = "59c7d57c-9022-4541-b000-5309721686cd" }
@misc{ p-adicnumbersp-adicanalysis821,
title = "(Graduate Texts in Mathematics) Neal Koblitz",
title_sort = "(Graduate Texts in Mathematics) Neal Koblitz",
author_sort = "p-adic numbers, p-adic analysis \& zeta-functions-Springer (1996)",
author = "p-adic numbers, p-adic analysis and zeta-functions-Springer (1996)",
formats = "djvu",
file = ":/home/zack/Dropbox/Library/p-adic numbers, p-adic analysis/(Graduate Texts in Mathematics) Neal Koblitz (821)/(Graduate Texts in Mathematics) Neal Kobli - p-adic numbers, p-adic analysis.djvu:DJVU",
calibreid = "821",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "3913211 octets",
timestamp = "2020-10-21",
uuid = "9bf4ead8-f301-4fb0-b635-cfe9f3e8b821" }
@misc{ FundamentalsofNumberTheory-Addison-Wesley(1977)822,
title = "William Judson LeVeque",
title_sort = "William Judson LeVeque",
author_sort = "Theory-Addison-Wesley, Fundamentals of Number",
author = "Fundamentals of Number Theory-Addison-Wesley (1977)",
cover = "/home/zack/Dropbox/Library/Fundamentals of Number Theory-Addison-Wesley (1977)/William Judson LeVeque (822)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Fundamentals of Number Theory-Addison-Wesley (1977)/William Judson LeVeque (822)/William Judson LeVeque - Fundamentals of Number Theory-Addison-Wesl.pdf:PDF",
calibreid = "822",
library_name = "Library",
year = "2017",
month = "Jan",
volume = "1",
size = "32274608 octets",
timestamp = "2020-10-21",
uuid = "3d350f60-1d21-44c3-9466-bb9d3e2516aa" }
@misc{ UnivalentFoundationsProgram823,
title = "Homotopy Type Theory: Univalent Foundations of Mathematics",
title_sort = "Homotopy Type Theory: Univalent Foundations of Mathematics",
author_sort = "Program, Univalent Foundations",
author = "Univalent Foundations Program",
cover = "/home/zack/Dropbox/Library/Univalent Foundations Program/Homotopy Type Theory\_ Univalent Foundations of Mathematics (823)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/Univalent Foundations Program/Homotopy Type Theory_ Univalent Foundations of Mathematics (823)/Homotopy Type Theory_ Univalent Foundation - Univalent Foundations Program.pdf:PDF",
calibreid = "823",
library_name = "Library",
year = "100",
month = "Dec",
volume = "1",
size = "4714923 octets",
tags = "Mathematics, type theory, Homotopy Theory, univalence axiom",
timestamp = "2020-10-21",
uuid = "9bec7ab5-07c6-42ef-a9d8-260b175ea818" }
@book{ JamesE.Humphreys825,
title = "Linear Algebraic Groups",
title_sort = "Linear Algebraic Groups",
author_sort = "Humphreys, James E.",
author = "James E. Humphreys",
note = "James E. Humphreys is presently Professor of Mathematics at the University of Massachusetts at Amherst. Before this, he held the posts of Assistant Professor of Mathematics at the University of Oregon and Associate Professor of Mathematics at New York University. His main research interests include group theory and Lie algebras. He graduated from Oberlin College in 1961. He did graduate work in philosophy and mathematics at Cornell University and later received hi Ph.D. from Yale University if 1966. In 1972, Springer-Verlag published his first book, {"}Introduction to Lie Algebras and Representation Theory{"} (graduate Texts in Mathematics Vol. 9).
",
cover = "/home/zack/Dropbox/Library/James E. Humphreys/Linear Algebraic Groups (825)/cover.jpg",
formats = "pdf",
file = ":/home/zack/Dropbox/Library/James E. Humphreys/Linear Algebraic Groups (825)/Linear Algebraic Groups - James E. Humphreys.pdf:PDF",
calibreid = "825",
isbn = "978-14-6849-443-3",
library_name = "Library",
year = "2012",
month = "Dec",
publisher = "Springer Science \& Business Media",
rating = "6",
volume = "1",
size = "13480184 octets",
tags = "Mathematics, Algebra, Abstract, Group Theory, General",
timestamp = "2020-10-21",
uuid = "24599686-e72e-4c66-ac18-22e0338b795d",
languages = "eng",
identifiers = "google:7hTTBwAAQBAJ,isbn:9781468494433,amazon:0387901086" }