Category Theory in Context (Aurora: Dover Modern Math

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

Category theory has provided the foundations for many of the twentieth century's greatest advances in pure mathematics. This concise, original text for aÂ one-semester introduction to the subjectÂ 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 uponÂ 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.Â While the reader will be rewarded for familiarity withÂ these background mathematical contexts, essential prerequisites are limited to basic set theory and logic.
Country USA
Brand Dover Publications
Manufacturer Dover Publications
Binding Paperback
ReleaseDate 2016-11-16
UnitCount 1
UPCs 800759809035
EANs 9780486809038

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