عنوان
پدید آورنده
موضوع
رده
QA169 .M33 1998
QA169
.
M33
1998
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0387984038 (hardcover : alk. paper)
(Number (ISBN
9780387984032 (hardcover : alk. paper)
NATIONAL BIBLIOGRAPHY NUMBER
Number
b412198
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Categories for the working mathematician /
General Material Designation
[Book]
First Statement of Responsibility
Saunders Mac Lane
EDITION STATEMENT
Edition Statement
Second edition
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xii, 314 pages :
Other Physical Details
illustrations ;
Dimensions
25 cm
SERIES
Series Title
Graduate texts in mathematics ;
Volume Designation
5
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 297-302) and index
CONTENTS NOTE
Text of Note
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 -- App. Foundations -- Table of Standard Categories: Objects and Arrows
0
SUMMARY OR ABSTRACT
Text of Note
"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."--Jacket
TOPICAL NAME USED AS SUBJECT
Categories (Mathematics)
(SUBJECT CATEGORY (Provisional
QA
DEWEY DECIMAL CLASSIFICATION
Number
512/
.
55
Edition
21
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA169
Book number
.
M33
1998
PERSONAL NAME - PRIMARY RESPONSIBILITY
Mac Lane, Saunders,1909-2005
ORIGINATING SOURCE
Date of Transaction
20170315082909.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
