Springer Science & Business Media, Sep 25, 1998 - Mathematics - 314 pages. Topological K-theory is one of the most important invariants for noncommutative algebras. "INTERNATIONALE MATHEMATISCHE NACHRICHTEN, ©1997-2020 Barnes & Noble Booksellers, Inc. 122 Fifth Avenue, New York, NY 10011. Topological ^-theory has become an important tool in topology. Contents Preface to the Second Edition v Preface to the First Edition vii Introduction 1 I. You can write a book review and share your experiences. Categories, Functors, and Natural Transformations 7 1. 2, International Press Somerville. ISBN 10: 0387984038. According to the authors of this highly useful compendium, focusing on examples is an extremely effective method of involving undergraduate mathematics students in actual research. This view of Complex Analysis as "An Introduction to Mathe matics" has influenced the writing and selection of subject matter for this book. This second edition includes a number of revisions and additions, including two new chapters on topics of active interest. An array of general ideas useful in a wide variety of fields. Chapter VI gives the proof of the "theorem on arithmetic progressions" due to Dirichlet; this theorem is used at a critical point in the first part (Chapter Ill, no. Categories 10 3. The purpose of this book is to provide advanced students and mathematicians in other fields with the fundamental material in this subject. Auto Suggestions are available once you type at least 3 letters. Advocates of the fast development claim at least two advantages. Many topics from algebraic topology, homological algebra, and algebraic number theory are developed as needed. Graduate texts in mathematics, Springer, 1971. is a classical textbook on category theory.See also. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. [Graduate Texts in Mathematics] Saunders Mac Lane - Categories for the Working Mathematician (1998, Springer) You can view Barnes & Noble’s Privacy Policy. For a better shopping experience, please upgrade now. ISBN 13: 9780387984032. Use up arrow (for mozilla firefox browser alt+up arrow) and down arrow (for mozilla firefox browser alt+down arrow) to review and enter to select. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence. Since Jacobson's book appeared a decade ago, improvements have been made even in the classical parts of the theory. Hardcover, Paperback. [Saunders Mac Lane] -- Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. For each projective algebraic variety, Grothendieck constructed a group from the category of coherent algebraic sheaves, and showed that it had many nice properties. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are admittedly a little more demanding. (When a proof was omitted and left as an exercise, it was done with the welfare of the student in mind. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. Saunders MacLane, Lectures on category theory, Bowdoin Summer School 1969, Notes taken by Ellis Cooper; The original edition has the following chapters The book studies a number of applications, including K-theory of crossed products, the Baum-Connes assembly map, twisted K-theory with some of its applications, and some variants of the Atiyah-Singer Index Theorem. The file will be sent to your email address. 2.2). It is only as a result of pursuing the details of each example that students experience a significant increment in topological understanding. Consequently a reader who is familiar with elementary set theory will find this text quite self-contained. You can read books purchased on Google Play using your computer's web browser. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. Working Mathematician Second Edition Springer. Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Besides being useful in many parts of mathematics and physics, the theory of semisimple Lie algebras is inherently attractive, combining as it does a certain amount of depth and a satisfying degree of completeness in its basic results. To read on e-ink devices like the Sony eReader or Barnes & Noble Nook, you'll need to download a file and transfer it to your device. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The first one is purely algebraic. Moreover, it is possible to derive a substantial part of stable homotopy theory from A^-theory (cf. … It is very well-written, with plenty of interesting discussions and stimulating exercises.” (Ittay Weiss, MAA Reviews, July, 2014), "A very useful introduction to category theory. The categories of algebraic systems are constructed from certain adjoint-like data and characterised by Beck's theorem. Language: english. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds).

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