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Graduate Texts in Mathematics

Categories for the Working Mathematician

Authors: Mac Lane, Saunders

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書籍の購入

イーブック ¥6,284
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  • ISBN 978-1-4757-4721-8
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ハードカバー ¥7,856
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-0-387-98403-2
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  • Usually dispatched within 3 to 5 business days.
ソフトカバー ¥7,856
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-1-4419-3123-8
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
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この教本について

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.

レビュー

From the reviews of the second edition:

“The book under review is an introduction to the theory of categories which, as the title suggests, is addressed to the (no-nonsense) working mathematician, thus presenting the ideas and concepts of Category Theory in a broad context of mainstream examples (primarily from algebra). … the book remains an authoritative source on the foundations of the theory and an accessible first introduction to categories. … It is very well-written, with plenty of interesting discussions and stimulating exercises.” (Ittay Weiss, MAA Reviews, July, 2014)

Second Edition

S.M. Lane

Categories for the Working Mathematician

"A very useful introduction to category theory."—INTERNATIONALE MATHEMATISCHE NACHRICHTEN


Table of contents (13 chapters)

Table of contents (13 chapters)

書籍の購入

イーブック ¥6,284
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-1-4757-4721-8
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ハードカバー ¥7,856
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-0-387-98403-2
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
ソフトカバー ¥7,856
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-1-4419-3123-8
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
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書誌情報

Bibliographic Information
Book Title
Categories for the Working Mathematician
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
5
Copyright
1978
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
イーブック ISBN
978-1-4757-4721-8
DOI
10.1007/978-1-4757-4721-8
ハードカバー ISBN
978-0-387-98403-2
ソフトカバー ISBN
978-1-4419-3123-8
Series ISSN
0072-5285
Edition Number
2
Number of Pages
XII, 317
Topics