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Category Theory in Context
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  • Title Category Theory in Context
  • Author(s) Emily Riehl
  • Publisher: Dover Publications (November 16, 2016); eBook (Johns Hopkins University)
  • Permission: From the Author: Thanks to a special arrangement with Dover, I am also able to host a free PDF copy. This version is free to view and download for personal use only. Not for re-distribution, re-sale or use in derivative works.
  • Hardcover/Paperback 272 pages
  • eBook PDF
  • Language: English
  • ISBN-10/ASIN: 048680903X
  • ISBN-13: 978-0486809038
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Book Description

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 introduction to 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, Kan extensions, 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.

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