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Cambridge Studies in Advanced Mathematics Ser.: Basic Category Theory by Tom Leinster (2014, Hardcover)
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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-101107044243
ISBN-139781107044241
eBay Product ID (ePID)201634800
Product Key Features
Number of Pages190 Pages
Publication NameBasic Category Theory
LanguageEnglish
Publication Year2014
SubjectGroup Theory, Logic
TypeTextbook
AuthorTom Leinster
Subject AreaMathematics
SeriesCambridge Studies in Advanced Mathematics Ser.
FormatHardcover
Dimensions
Item Height0.6 in
Item Weight14.1 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Intended AudienceScholarly & Professional
Dewey Edition23
Series Volume NumberSeries Number 143
IllustratedYes
Dewey Decimal512.62
Table Of ContentNote to the reader; Introduction; 1. Categories, functors and natural transformations; 2. Adjoints; 3. Interlude on sets; 4. Representables; 5. Limits; 6. Adjoints, representables and limits; Appendix: proof of the General Adjoint Functor Theorem; Glossary of notation; Further reading; Index.
SynopsisAt the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in courses or for independent study. Assuming relatively little mathematical background, it is ideal for beginning graduate students or advanced undergraduates learning category theory for the first time. For each new categorical concept, a generous supply of examples is provided, taken from different parts of mathematics. At points where the leap in abstraction is particularly great (such as the Yoneda lemma), the reader will find careful and extensive explanations. Copious exercises are included., Assuming little mathematical background, this short introduction to category theory is ideal for beginning graduate students or advanced undergraduates learning category theory for the first time. Suitable for independent study or as a course book, it gives extensive explanations of the key concepts along with hundreds of examples and exercises.
LC Classification NumberQA169 .L438 2014
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