Basic Category Theory by Tom Leinster
Basic Category Theory by Tom Leinster - Table of Contents
1. Categories, functors and natural transformations
2. Adjoints
3. Interlude on sets
4. Representables
5. Limits
6. Adjoints, representables and limits
What You Will Learn in Basic Category Theory by Tom Leinster
"Basic Category Theory" by Tom Leinster is a widely respected introduction to one of the most important frameworks in modern mathematics. The book is written for readers who want to understand "category theory" without being overwhelmed by excessive formalism. Leinster focuses on ideas, intuition, and structure, helping readers see how abstract concepts connect different areas of mathematics.
The text carefully introduces fundamental notions such as "categories", "functors", and "natural transformations", building them step by step with clear explanations and meaningful examples. Rather than relying on heavy symbolism, the book emphasizes understanding how mathematical structures relate to one another. Topics like limits, colimits, and adjunctions are explained in a way that highlights their purpose and usefulness.
Ideal for advanced undergraduates and beginning graduate students, the book is valued for its clarity and logical flow. It serves as a strong foundation for further study in "algebra", "topology", and "theoretical computer science". By combining precision with accessibility, Leinster’s book helps readers develop confidence in abstract thinking while mastering the core language of modern mathematics.
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 leading mathematician specializing in "category theory", "higher-dimensional algebra", and "mathematical logic". He explores abstract structures that unify various fields of mathematics, focusing on clarity and accessibility for learners. Leinster is well-known for his work on "categories", "functors", and "adjunctions", making complex concepts understandable. His textbooks and research papers bridge theory and application, influencing education in algebra, topology, and theoretical computer science.
Read or Downloadable Basic Category Theory by Tom Leinster
Category Theory