7 Best Books on Category Theory

We have compiled a list of the Best Reference Books on Category Theory, which are used by students of top universities, and colleges. This will help you choose the right book depending on if you are a beginner or an expert. Here is the complete list of Category Theory Books with their authors, publishers, and an unbiased review of them as well as links to the Amazon website to directly purchase them. If permissible, you can also download the free PDF books on Category Theory below.

1."Category Theory" by H Herrlich and G E Strecker
2."An Introduction to Category Theory" by Harold Simmons
“An Introduction to Category Theory” Book Review: In this book, the author explores the fundamental concepts and definitions of various related devices. It covers topics such as functionaries, natural transformations, limits, and constraints, offering a comprehensive understanding. Additionally, the book includes a wide range of exercises, totaling over 200, with detailed solutions provided. Postgraduate mathematicians will find this book highly beneficial, as it provides a deep dive into the subject matter and offers ample opportunities for practice and application.

3."Category Theory in Context (Aurora: Dover Modern Math Originals)" by Emily Riehl
“Category Theory in Context (Aurora: Dover Modern Math Originals)” Book Review: This book delves into the principles of category theory, covering topics such as groups, functors, natural transformations, and adjunctions. It equips readers with powerful methods in various areas of mathematics, including algebra, number theory, algebraic geometry, and algebraic topology, to tackle complex problems. As such, advanced undergraduates and graduate students in mathematics can greatly benefit from the book’s insights and tools.

4."An Introduction to the Language of Category Theory (Compact Textbooks in Mathematics)" by Steven Roman
“An Introduction to the Language of Category Theory (Compact Textbooks in Mathematics)” Book Review: This is a concise and accessible textbook in the field of mathematics. The book covers a range of chapters, including topics such as basic definitions and concepts of category theory, morphisms and functors, universal properties, and adjunctions. It provides clear explanations and examples that aid in understanding complex mathematical concepts. With its compact format, this book is an excellent resource for students and researchers looking to gain a solid foundation in category theory. Roman’s expertise and pedagogical approach make this book an invaluable resource in the field of mathematics.

5."Basic Concepts of Enriched Category Theory (London Mathematical Society Lecture Note Series)" by Max Kelly
6."Category Theory: Applications to Algebra, Logic and Topology" by A Dold
7."Category Theory: Questions and Answers" by George A Duckett
“Category Theory: Questions and Answers” Book Review: In this book, readers will find a compilation of frequently asked questions, focused discussions on specific subjects, and comparisons of responses to related topics. The author also delves into the origins of the original questions and offers insights into a wide range of topics, including abstract algebra, abelian groups, the theory of representation, and the theory of categories. Through clear explanations and examples, the book offers valuable insights into these complex mathematical subjects, making it a useful resource for students and researchers alike.

We have put a lot of effort into researching the best books on Category Theory and came out with a recommended list and their reviews. If any more book needs to be added to this list, please email us. We are working on free pdf downloads for books on Category Theory and will publish the download link here. Fill out this Category Theory books pdf download" request form for download notification.

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