Category Theory

Steve Awodey (Carnegie Mellon University, USA)

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English

Oxford University Press
17 June 2010

Philosophy: logic; Philosophy of mathematics; Mathematical logic; Functional analysis & transforms

Series: Oxford Logic Guides

Category theory is a branch of abstract algebra with incredibly diverse applications. This text and reference book is aimed not only at mathematicians, but also researchers and students of computer science, logic, linguistics, cognitive science, philosophy, and any of the other fields in which the ideas are being applied. Containing clear definitions of the essential concepts, illuminated with numerous accessible examples, and providing full proofs of all important propositions and theorems, this book aims to make the basic ideas, theorems, and methods of category theory understandable to this broad readership. Although assuming few mathematical pre-requisites, the standard of mathematical rigour is not compromised. The material covered includes the standard core of categories; functors; natural transformations; equivalence; limits and colimits; functor categories; representables; Yoneda's lemma; adjoints; monads. An extra topic of cartesian closed categories and the lambda-calculus is also provided - a must for computer scientists, logicians and linguists!

This Second Edition contains numerous revisions to the original text, including expanding the exposition, revising and elaborating the proofs, providing additional diagrams, correcting typographical errors and, finally, adding an entirely new section on monoidal categories. Nearly a hundred new exercises have also been added, many with solutions, to make the book more useful as a course text and for self-study.

By: Steve Awodey (Carnegie Mellon University USA)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Edition: 2nd Revised edition
Volume: 52
Dimensions: Height: 236mm, Width: 161mm, Spine: 23mm
Weight: 626g
ISBN: 9780199587360
ISBN 10: 0199587361
Series: Oxford Logic Guides
Pages: 328
Publication Date: 17 June 2010
Audience: College/higher education , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Preface 1: Categories 2: Abstract Structures 3: Duality 4: Groups and Categories 5: Limits and Colimits 6: Exponentials 7: Naturality 8: Categories of Diagrams 9: Adjoints 10: Monads and Algrebras References Solutions to Selected Exercises Index

Steve Awodey studied Mathematics and Philosophy at the University of Marburg (Germany) and the University of Chicago, earning his Ph.D. from Chicago under Saunders Mac Lane in 1997. He is now anProfessor in the Department of Philosophy at Carnegie Mellon University. He is an active researcher in Category Theory and Logic, and has authored and co-authored numerous journal articles.

Reviews for Category Theory

`Review from previous edition This excellent textbook can be recommended to everybody who would like to learn the basis of category theory.' EMS Newsletter