Categories for the Working Mathematician

AvSaunders Mac Lane

Häftad, Engelska, 2010

Del 5 i serien Graduate Texts in Mathematics

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Beskrivning

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. One is onsymmetric monoidal categories and braided monoidal categories and the coherence theorems for them.

Produktinformation

Utgivningsdatum:2010-11-19
Mått:152 x 229 x 28 mm
Vikt:492 g
Format:Häftad
Språk:Engelska
Serie:Graduate Texts in Mathematics
Antal sidor:318
Upplaga:2
Förlag:Springer-Verlag New York Inc.
ISBN:9781441931238

Utforska kategorier

Topologi inom Naturvetenskap och teknik

Recensioner i media

From the reviews of the second edition: "The book under review is an introduction to the theory of categories which, as the title suggests, is addressed to the (no-nonsense) working mathematician, thus presenting the ideas and concepts of Category Theory in a broad context of mainstream examples (primarily from algebra). ... the book remains an authoritative source on the foundations of the theory and an accessible first introduction to categories. ... It is very well-written, with plenty of interesting discussions and stimulating exercises." (Ittay Weiss, MAA Reviews, July, 2014) Second Edition S.M. Lane Categories for the Working Mathematician "A very useful introduction to category theory."-INTERNATIONALE MATHEMATISCHE NACHRICHTEN

Innehållsförteckning

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.