Mendeley出力
＜図書＞
Categories for the working mathematician
| 責任表示 | Saunders Mac Lane |
|---|---|
| シリーズ | Graduate texts in mathematics ; 5 |
| データ種別 | 図書 |
| 版 | 2nd ed |
| 出版情報 | New York : Springer , c1998 |
| 本文言語 | 英語 |
| 大きさ | xii, 314 p. ; 25 cm |
| 概要 | 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, ...atural 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. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6882630 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
|---|---|---|---|---|---|---|---|---|---|---|
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理系図1F 開架 | 415/Ma 13 | 1998 |
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003211998005875 |
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理系図1F 開架 | 415/Ma 13/A | 1998 |
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003211998005887 |
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理系図1F 開架 | 415/Ma 13 | 1998 |
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031212007000400 |
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理系図3F 数理独自 | MACL/40/9a | c1998 |
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023211998007773 |
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数理 離散数理 | SER/GTM/5a | c1998 |
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023211998007785 |
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書誌詳細
| 一般注記 | Bibliography: p. 297-302 Includes index |
|---|---|
| 著者標目 | *Mac Lane, Saunders, 1909- |
| 件 名 | LCSH:Categories (Mathematics) |
| 分 類 | LCC:QA169 DC21:512/.55 NDC8:411.67 |
| 書誌ID | 1000271438 |
| ISBN | 0387984038 |
| NCID | BA38135119 |
| 巻冊次 | ISBN:0387984038 |
| 登録日 | 2009.09.11 |
| 更新日 | 2009.09.18 |