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Categories for the Working Mathematician, Hardcover by MacLane, Saunders, Lik...

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Book Title
Categories for the Working Mathematician
ISBN
9780387984032

Über dieses Produkt

Product Identifiers

Publisher
Springer New York
ISBN-10
0387984038
ISBN-13
9780387984032
eBay Product ID (ePID)
163879

Product Key Features

Number of Pages
Xii, 318 Pages
Language
English
Publication Name
Categories for the Working Mathematician
Publication Year
1998
Subject
Group Theory, Algebra / Abstract
Features
Revised
Type
Textbook
Author
Saunders Maclane
Subject Area
Mathematics
Series
Graduate Texts in Mathematics Ser.
Format
Hardcover

Dimensions

Item Height
0.4 in
Item Weight
50.4 Oz
Item Length
9 in
Item Width
6 in

Additional Product Features

Edition Number
2
Intended Audience
Scholarly & Professional
LCCN
97-045229
Dewey Edition
21
Reviews
Second Edition S.M. Lane Categories for the Working Mathematician "A very useful introduction to category theory."-INTERNATIONALE MATHEMATISCHE NACHRICHTEN, Second Edition S.M. Lane Categories for the Working Mathematician "A very useful introduction to category theory."--INTERNATIONALE MATHEMATISCHE NACHRICHTEN, Second Edition S.M. Lane Categories for the Working Mathematician "A very useful introduction to category theory."a? INTERNATIONALE MATHEMATISCHE NACHRICHTEN, Second Edition S.M. Lane Categories for the Working Mathematician "A very useful introduction to category theory."'e"INTERNATIONALE MATHEMATISCHE NACHRICHTEN, Second EditionS.M. LaneCategories for the Working Mathematician"A very useful introduction to category theory." �INTERNATIONALE MATHEMATISCHE NACHRICHTEN
Series Volume Number
5
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
512/.55
Edition Description
Revised edition
Table Of Content
I. Categories, Functors, and Natural Transformations.- II. Constructions on Categories.- III. Universals and Limits.- IV. Adjoints.- V Limits.- VI. Monads and Algebras.- VII. Monoids.- VIII. Abelian Categories.- IX. Special Limits.- X. Kan Extensions.- XI. Symmetry and Braiding in Monoidal Categories.- XII. Structures in Categories.- Appendix. Foundations.- Table of Standard Categories: Objects and Arrows.- Table of Terminology.
Synopsis
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., Categories for the Working Mathematician begins with foundations, illuminating concepts such as category, functor, natural transformation, and duality. It then continues by extensively illustrating these categorical concepts while presenting applications to more advanced topics. This second edition includes many revisions and additions., This new edition of Categories for the Working Mathematician 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., 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 onsymmetric 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.
LC Classification Number
QA612.33

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