Basic Category Theory by Tom Leinster
Basic Category Theory - Table of Contents
PART I: FOUNDATIONS & ADJOINTS
- 1. Categories, Functors and Natural Transformations
- 2. Adjoints
- 3. Interlude on Sets
PART II: REPRESENTABLES & LIMITS
- 4. Representables
- 5. Limits
- 6. Adjoints, Representables and Limits
What You Will Learn in Basic Category Theory
Basic Category Theory by Tom Leinster is an accessible, highly acclaimed textbook that introduces the core universal concepts of category theory with exceptional pedagogical clarity. This concise volume guides readers through categories, functors, natural transformations, adjoints, and limits without overwhelming them with unnecessary abstraction.
Designed for undergraduate and graduate mathematics students, this foundational text bridges concrete mathematical subjects like algebra and topology with general categorical frameworks. Leinster emphasizes motivation, step-by-step proofs, and concrete examples—including the famous Yoneda lemma—to help readers build genuine mathematical intuition. Whether you are studying pure mathematics, logic, or theoretical computer science, this book offers a clear, structured roadmap.
Recognized worldwide for its student-friendly tone and rigorous structure, it remains one of the best introductory category theory books for self-study. By focusing on core universal principles and their unifying role across mathematics, it serves as an indispensable resource for mastering basic category theory with confidence.
Book Details & Specifications
Title:
Basic Category Theory by Tom Leinster
Publisher:
Cambridge University Press
Year:
2014
Pages:
191
Type:
PDF
Language:
English
ISBN-10 #:
1286497574
ISBN-13 #:
978-1286497579
License:
Arxiv License
Amazon:
Amazon
About the Author: Tom Leinster
The author Tom Leinster
is a distinguished British mathematician and Reader in Mathematics at the University of Edinburgh, internationally recognized for his contributions to category theory, higher category theory, and biodiversity measurement. He earned his doctorate from the University of Cambridge under the supervision of Richard Thomas and has published extensively on operads, Leinster's notion of magnitude, and abstract algebra.
Known for his clear and engaging teaching style, Leinster authored Basic Category Theory to make core categorical concepts accessible to early-stage students and self-learners. His commitment to clear exposition and conceptual clarity has made this volume a classic reference for category theory that continues to be trusted and read by mathematicians worldwide.
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