|
|
|
|
Category Theory
Second Edition
Steve Awodey
336 pages
|
234x156mm
978-0-19-923718-0
|
Paperback
|
17 June 2010
|
|
|
|
|
- Important growing area of mathematics
- Clear definitions of all basic concepts
- Combines rigour with an appealing informality
- Contains precise statements of all essential theorems, with full proofs of all theorems, propositions and lemmas
- Based on courses given at Carnegie Mellon University
- Numerous exercises provided
New to this edition - Nearly a hundred new exercises
- Many more examples and diagrams
- Worked solutions to almost half the exercises
- New coverage of monoidal categories
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.Readership: Researchers and graduates in mathematics, computer science, logic, linguistics, and cognitive science, as well as undergraduates in mathematics.
|
|
|
Steve Awodey, Carnegie Mellon University, USA
|
|
|
"The book is well organised and very well written. The presentation of the material is from the concrete to the abstract, proofs are worked out in detail and the examples and the exercises spread throughout the text mark a pleasant rhythm for its reading. In all, Awodey's Category Theory is a very nice and recommendable introduction to the subject." - Pere Pascual, EMS Newsletter
|
|
|
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
|
|
|
|
The specification in this catalogue, including without limitation price, format, extent, number of illustrations, and month of publication, was as accurate as possible at the time the catalogue was compiled. Occasionally, due to the nature of some contractual restrictions, we are unable to ship a specific product to a particular territory. Jacket images are provisional and liable to change before publication.
|
|
