9781441931238-1441931236-Categories for the Working Mathematician (Graduate Texts in Mathematics (5))

Categories for the Working Mathematician (Graduate Texts in Mathematics (5))

ISBN-13: 9781441931238
ISBN-10: 1441931236
Edition: 2nd ed. 1978. Softcover reprint of the original 2nd ed. 1978
Author: Mac Lane, Saunders
Publication date: 2010
Publisher: Springer
Format: Paperback 329 pages
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Book details

ISBN-13: 9781441931238
ISBN-10: 1441931236
Edition: 2nd ed. 1978. Softcover reprint of the original 2nd ed. 1978
Author: Mac Lane, Saunders
Publication date: 2010
Publisher: Springer
Format: Paperback 329 pages

Summary

Acknowledged authors Mac Lane, Saunders wrote Categories for the Working Mathematician (Graduate Texts in Mathematics (5)) comprising 329 pages back in 2010. Textbook and eTextbook are published under ISBN 1441931236 and 9781441931238. Since then Categories for the Working Mathematician (Graduate Texts in Mathematics (5)) textbook was available to sell back to BooksRun online for the top buyback price of $ 6.04 or rent at the marketplace.

Description

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. It 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 characterised 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 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.

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