Categories for the working mathematician
 Author/Creator
 Mac Lane, Saunders, 19092005.
 Language
 English.
 Edition
 2nd ed.
 Imprint
 New York : Springer, c[1998].
 Physical description
 xii, 314 p. ; 25 cm.
 Series
 Graduate texts in mathematics 5.
Access
Available online

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QA169 .M33 1998

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QA169 .M33 1998

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QA169 .M33 1998
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Contents/Summary
 Bibliography
 Includes bibliographical references (p. 297302) and index.
 Contents

 1: Categories, Functors and Natural Transformation. 2: Constructions on Categories. 3: Universals and Limits. 4: Adjoints. 5: Limits. 6: Monads and Algebras. 7: Monoids. 8: Abelian Categories. 9: Special Limits. 10: Kan Extensions. 11: Symmetry and Braiding in Monoidal Categories. 12: Structures in Categories. Tables of Categories. Bibliography.
 (source: Nielsen Book Data)
 Publisher's Summary
 "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 adjointlike data and characterized by Beck's theorem. After considering a variety of applications, the book continues with the construction and expoitation 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 2categories 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.
(source: Nielsen Book Data)
Subjects
 Subject
 Categories (Mathematics)
Bibliographic information
 Publication date
 1998
 Responsibility
 Saunders Mac Lane.
 Series
 Graduate texts in mathematics ; 5
 ISBN
 0387984038
 9780387984032