This textbook provides a comprehensive introduction to category theory, covering essential topics with fully-worked examples and complete proofs, making it suitable for classroom use or self-study. It assumes a basic understanding of groups, rings, modules, topological spaces, and set theory.

Format: Paperback / softback
Length: 284 pages
Publication date: 13 December 2023
Publisher: Springer International Publishing AG

This textbook offers a comprehensive introduction to category theory, a fundamental framework for understanding mathematical structures. Designed for students with no prior knowledge of the subject, it provides a gentle and accessible approach to mastering its essential principles. Unlike traditional category theory books that can 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.

Introduction to Category Theory

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.

Dimension: 235 x 155 (mm)
ISBN-13: 9783031428982
Edition number: 1st ed. 2023