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Categories for the Working Mathematician 2nd ed.(Graduate Texts in Mathematics Vol.5) hardcover XII, 318 p. 98

Mac Lane, Saunders  著

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価格 \13,594(税込)         

発行年月 1998年09月
出版社/提供元
出版国 アメリカ合衆国
言語 英語
媒体 冊子
装丁 hardcover
ページ数/巻数 XII, 318 p.
ジャンル 洋書/理工学/数学/数学基礎論
ISBN 9780387984032
商品コード 0209834085
本の性格 テキスト
商品URL
参照
https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0209834085

内容

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.

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