Overview
- Perfectly suited for a first introductory course in category theory
- Thoroughly covers fundamentals concepts
- Includes concrete examples from familiar mathematics
Part of the book series: Universitext (UTX)
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About this book
This textbook provides a first introduction to category theory, a powerful framework and tool for understanding mathematical structures. Designed for students with no previous knowledge of the subject, this book offers a gentle approach to mastering its fundamental principles.
Unlike traditional category theory books, which can often be overwhelming for beginners, this book has been carefully crafted to offer a clear and concise introduction to the subject. It covers all the essential topics, including categories, functors, natural transformations, duality, equivalence, (co)limits, and adjunctions. Abundant fully-worked examples guide readers in understanding the core concepts, while complete proofs and instructive exercises reinforce comprehension and promote self-study. The author also provides background material and references, making the book suitable for those with a basic understanding of groups, rings, modules, topological spaces, and set theory.
Based on the author's course at the Vrije Universiteit Brussel, the book is perfectly suited for classroom use in a first introductory course in category theory. Its clear and concise style, coupled with its detailed coverage of key concepts, makes it equally suited for self-study.
Keywords
Table of contents (4 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
About the author
Bibliographic Information
Book Title: A First Course in Category Theory
Authors: Ana Agore
Series Title: Universitext
DOI: https://doi.org/10.1007/978-3-031-42899-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Softcover ISBN: 978-3-031-42898-2Published: 13 December 2023
eBook ISBN: 978-3-031-42899-9Published: 12 December 2023
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: XIV, 284