Categories for the Working Mathematician

Saunders Mac Lane

314 pages, parution le 01/03/2001 (2^eme édition)

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Résumé

Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. It begins with the 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, including two new chapters exploring topics of active interest.

Sommaire

Table of Contents

Preface to the Second Edition
Preface to the First Edition
Introduction 1 I
Categories, Functors, and Natural Transformations 7
II Constructions on Categories 31
III Universals and Limits 55
IV Adjoints 79
V Limits 109
VI Monads and Algebras 137
VII Monoids 161
VIII Abelian Categories 191
IX Special Limits 211
X Kan Extensions 233
XI Symmetry and Braiding in Monoidal Categories 251
XII Structures in Categories 267
App Foundations 289
Table of Standard Categories: Objects and Arrows 293
Table of Terminology 295
Bibliography 297
Index 303

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Saunders Mac Lane
Parution	01/03/2001
Édition	2^eme édition
Nb. de pages	314
Format	23.5 x 15.5
Couverture	Relié
Intérieur	Noir et Blanc
EAN13	9780387984032
ISBN13	978-0-387-98403-2