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Sigma Series in Pure Mathematics -- Volume 1

Horst Herrlich, George E. Strecker

Category Theory. Third Edition

xvi+402 pages, free electronic publication, ISBN 978-3-88538-001-6, 2007

This is a by now classical text in mathematics. It gives an introduction to category theory assuming only minimal knowledge in set theory, algebra or topology. The book is designed for use during the early stages of graduate study -- or for ambitious undergraduates. Each chapter contains numerous exercises for further study and control.

The attempt is made to present category theory mainly as a convenient language -- one which ties together widespread notions, which puts many existing results in their proper perspective, and which provides a means for appreciation of the unity that exists in modern mathematics, despite the increasing tendencies toward fragmentation and specialization.

The fact that the book appears in a 3rd edition proves that the authors achieved their goals.

The more advanced book "Abstract and Concrete Categories", which the authors of this book wrote together with Jiri Adamek, is also available from Heldermann Verlag as a free electronic publication.