Category theory

著者

• Awodey, Steve

書誌事項

Category theory

Steve Awodey

（Oxford logic guides, 52）

Oxford University Press, 2010

2nd ed

• : hard
• : pbk

注記

First published 2006

Bibliography: p. [303]

Includes index

内容説明・目次

内容説明

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.

目次

• 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

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB02467861
• ISBN:
  • 9780199587360
  • 9780199237180
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Oxford ; New York
• ページ数/冊数: xv, 311 p.
• 大きさ: 24 cm
• 分類:
  • DC22 : 512.62
  • LCC : QA169
• 件名:
  • LCSH : Categories (Mathematics)
• 親書誌ID:
  • BA00017765