Categories for the Working Mathematician (Graduate Texts in Mathematics)

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
subject_code
PBPD
target_audience
College/University
is_adult_product
false
edition_number
2
binding
paperback
edition
2nd ed. 1978. Softcover reprint of the original 2nd ed. 1978
series_number
5
MPN
9,781,441,931,238.00
batteries_required
false
manufacturer
Springer
volume
5
Brand
Springer
series_title
Graduate Texts in Mathematics
number_of_items
1
pages
332
genre
Algebraic topology
part_number
9781441931238
publication_date
2010-11-19T00:00:01Z
unspsc_code
55101500
batteries_included
false
ISBN
9781441931238
Category

About this product

Product Identifiers

Publisher
Springer New York
ISBN-10
1441931236
ISBN-13
9781441931238
eBay Product ID (ePID)
108247057

Product Key Features

Number of Pages
Xii, 318 Pages
Publication Name
Categories for the Working Mathematician
Language
English
Subject
Group Theory, Algebra / Abstract
Publication Year
2010
Type
Textbook
Subject Area
Mathematics
Author
Saunders Mac Lane
Series
Graduate Texts in Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Weight
18 Oz
Item Length
9 in
Item Width
6 in

Additional Product Features

Edition Number
2
Intended Audience
Scholarly & Professional
Reviews
Second Edition S.M. Lane Categories for the Working Mathematician "A very useful introduction to category theory."-INTERNATIONALE MATHEMATISCHE NACHRICHTEN, Second EditionS.M. LaneCategories 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."'e"INTERNATIONALE MATHEMATISCHE NACHRICHTEN, Second EditionS.M. LaneCategories for the Working Mathematician"A very useful introduction to category theory." �INTERNATIONALE MATHEMATISCHE NACHRICHTEN
Dewey Edition
23
Series Volume Number
5
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
512/.55
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., 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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