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Saunders Mac Lane Categories for the Working Mathematician (Hardback)

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Specificaties

Objectstaat
Nieuw: Een nieuw, ongelezen en ongebruikt boek in perfecte staat waarin geen bladzijden ontbreken of ...
Book Title
Categories for the Working Mathematician
Publication Name
Categories for the Working Mathematician
Title
Categories for the Working Mathematician
Author
Saunders Maclane
Format
Hardcover
EAN
9780387984032
ISBN
9780387984032
Edition
2nd ed. 1978
Publisher
Springer New York
Genre
Science Nature & Math
Release Date
25/09/1998
Release Year
1998
Language
English
Country/Region of Manufacture
US
Item Height
0.4in
Item Length
9in
Series
Graduate Texts in Mathematics Ser.
Publication Year
1998
Type
Textbook
Features
Revised
Item Width
6in
Item Weight
50.4 Oz
Number of Pages
Xii, 318 Pages

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Product Information

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.

Product Identifiers

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

Product Key Features

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

Dimensions

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

Additional Product Features

Series Volume Number
5
Number of Volumes
1 Vol.
Lc Classification Number
Qa612.33
Edition Description
Revised Edition
Edition Number
2
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
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.
Copyright Date
1978
Topic
Group Theory, Algebra / Abstract
Lccn
97-045229
Dewey Decimal
512/.55
Intended Audience
Scholarly & Professional
Dewey Edition
21
Illustrated
Yes
Genre
Mathematics

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