Category Theory in Context
eBook - ePub

Category Theory in Context

  1. 272 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Category Theory in Context

About this book

"The book is extremely pleasant to read, with masterfully crafted exercises and examples that create a beautiful and unique thread of presentation leading the reader safely into the wonderfully rich, expressive, and powerful theory of categories." — The Math Association
Category theory has provided the foundations for many of the twentieth century's greatest advances in pure mathematics. This concise, original text for a one-semester course on the subject is derived from courses that author Emily Riehl taught at Harvard and Johns Hopkins Universities. The treatment introduces the essential concepts of category theory: categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads, and other topics.
Suitable for advanced undergraduates and graduate students in mathematics, the text provides tools for understanding and attacking difficult problems in algebra, number theory, algebraic geometry, and algebraic topology. Drawing upon a broad range of mathematical examples from the categorical perspective, the author illustrates how the concepts and constructions of category theory arise from and illuminate more basic mathematical ideas. Prerequisites are limited to familiarity with some basic set theory and logic.

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Yes, you can access Category Theory in Context by Emily Riehl in PDF and/or ePUB format, as well as other popular books in Mathematics & Abstract Algebra. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Title Page
  3. Dedication Page
  4. Epigraph
  5. Contents
  6. Preface
  7. Chapter 1. Categories, Functors, Natural Transformations
  8. Chapter 2. Universal Properties, Representability, and the Yoneda Lemma
  9. Chapter 3. Limits and Colimits
  10. Chapter 4. Adjunctions
  11. Chapter 6. All Concepts are Kan Extensions
  12. Epilogue: Theorems in Category Theory
  13. Bibliography
  14. Catalog of Categories
  15. Glossary of Notation
  16. Index