Download PDF by Emily Riehl: Category Theory in Context (Aurora: Dover Modern Math

By Emily Riehl

ISBN-10: 048680903X

ISBN-13: 9780486809038

Category concept has supplied the rules for lots of of the 20th century's maximum advances in natural arithmetic. This concise, unique textual content for a one-semester direction at the topic is derived from classes that writer Emily Riehl taught at Harvard and Johns Hopkins Universities. The therapy introduces the fundamental ideas of classification concept: different types, functors, traditional modifications, the Yoneda lemma, limits and colimits, adjunctions, monads, and different subject matters.
Suitable for complex undergraduates and graduate scholars in arithmetic, the textual content presents instruments for figuring out and attacking tricky difficulties in algebra, quantity idea, algebraic geometry, and algebraic topology. Drawing upon a large diversity of mathematical examples from the explicit point of view, the writer illustrates how the recommendations and buildings of type thought come up from and light up extra easy mathematical principles. must haves are restricted to familiarity with a few uncomplicated set idea and logic.

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

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