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Category Theory in Context (Aurora: Dover Modern Math Originals) - Softcover

Book 8 of 10: Aurora: Dover Modern Math Originals

Riehl, Emily; Stewart, Ian

 
9780486809038: Category Theory in Context (Aurora: Dover Modern Math Originals)

Synopsis

Derived from courses the author taught at Harvard and Johns Hopkins, this original book introduces the concepts of category theory ― categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctive, monads ― and other topics, revisiting a broad range of mathematical examples from the categorical perspective. Basic set theory and logic are the only prerequisites.

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About the Author

Emily Riehl is Assistant Professor in the Department of Mathematics at Johns Hopkins University. She received her PhD from the University of Chicago in 2011 and was a Benjamin Pierce and NSF Postdoctoral Fellow at Harvard University from 2011-15. She is also the author of Categorical Homotopy Theory.

From the Back Cover

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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