Description: Categories for the Working Mathematician, Hardcover by MacLane, Saunders, ISBN 0387984038, ISBN-13 9780387984032, Brand New, Free P&P in the UK 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 Becks theorem. After considering a variety of applications, th 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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Book Title: Categories for the Working Mathematician
Number of Pages: 317 Pages
Publication Name: Categories for the Working Mathematician
Language: English
Publisher: Springer-Verlag New York Inc.
Item Height: 229 mm
Subject: Mathematics
Publication Year: 1998
Type: Textbook
Item Weight: 1430 g
Author: Saunders Mac Lane
Item Width: 152 mm
Series: Graduate Texts in Mathematics
Format: Hardcover