Categories for the Working Mathematician

Name: Categories for the Working Mathematician
Price: 54.68 USD
Availability: InStock
ISBN: 9780387984032

ISBN-10: 0387984038

ISBN-13: 9780387984032

Edition: 2nd 1978 (Revised)

Authors: Saunders MacLane, Sheldon J. Axler, F. W. Gehring, P. R. Halmos

List price: $74.95

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Description:

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…

Book details

List price: $74.95
Edition: 2nd
Copyright year: 1978
Publisher: Springer New York
Publication date: 9/25/1998
Binding: Hardcover
Pages: 318
Size: 5.98" wide x 9.02" long x 0.38" tall
Weight: 1.628
Language: English



Preface to the Second Edition


Preface to the First Edition


Introduction



Categories, Functors, and Natural Transformations



Constructions on Categories



Universals and Limits



Adjoints



Limits



Monads and Algebras



Monoids



Abelian Categories



Special Limits



Kan Extensions



Symmetry and Braiding in Monoidal Categories



Structures in Categories



Foundations


Table of Standard Categories: Objects and Arrows


Table of Terminology


Bibliography


Index