An Introduction to Category Theory - Simmons.pdf

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An Introduction to Category Theory
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.
An Introduction to
Category Theory
HAROLD SIMMONS
University of Manchester

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