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  1. Home
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  3. An Introduction to Category Theory
  • Cited by 36
Publisher:
Cambridge University Press
Online publication date:
June 2012
Print publication year:
2011
Online ISBN:
9780511863226
DOI:
https://doi.org/10.1017/CBO9780511863226
Subjects:
Mathematics, Logic, Categories and Sets, Computer Science, Programming Languages and Applied Logic
Information

Book description

Category theory provides a general conceptual framework that has proved fruitful in subjects as diverse as geometry, topology, theoretical computer science and foundational mathematics. Here is a friendly, easy-to-read textbook that explains the fundamentals at a level suitable for newcomers to the subject. Beginning postgraduate mathematicians will find this book an excellent introduction to all of the basics of category theory. It gives the basic definitions; goes through the various associated gadgetry, such as functors, natural transformations, limits and colimits; and then explains adjunctions. The material is slowly developed using many examples and illustrations to illuminate the concepts explained. Over 200 exercises, with solutions available online, help the reader to access the subject and make the book ideal for self-study. It can also be used as a recommended text for a taught introductory course.

Reviews

"This textbook presents a useful introduction to basic category theory, and would be suitable for a first course at the undergraduate level in computer science or mathematics."
Steve Awodey, Mathematical Reviews

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Contents

Contents
References
Bibliography
J., Adamek, H., Herrlich, and G. E., Strecker (2004): Abstract and Concrete Categories: The Joy of Cats, published online.
S., Awodey (2010): Category Theory (Second Edition), Oxford University Press.
M., Barr and C., Wells (1985): Toposes, Triples and Theories, Springer.
M., Barr and C., Wells (1990): Category Theory for Computing Science, Prentice Hall.
A. J., Berrick and M. E., Keating (2000): Categories and Modules, Cambridge University Press.
F., Borceux (1994): Handbook of Categorical Algebra, three volumes, Cambridge University Press.
S., Eilenberg and S., MacLane (1945): General theory of natural equivalences, Transactions of the American Mathematical Society, 58, 231–294.
F. William, Lawvere and Stephen H., Schanuel (1997): Conceptual Mathematics, A First Introduction to Categories, Cambridge University Press.
S. Mac, Lane (1998): Categories for the Working Mathematician (Second Edition), Springer.
C., McClarty (1995): Elementary Categories, Elementary Toposes, Oxford University Press.
B., Mitchell (1965): Theory of Categories, Academic Press.
B., Pareigis (1970): Categories and Functors, Academic Press.

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