Get Category Theory in Context (Aurora: Dover Modern Math PDF

By Emily Riehl

Category conception has supplied the rules for plenty of of the 20 th century's maximum advances in natural arithmetic. This concise, unique textual content for a one-semester path at the topic is derived from classes that writer Emily Riehl taught at Harvard and Johns Hopkins Universities. The therapy introduces the basic suggestions of type thought: different types, functors, usual changes, the Yoneda lemma, limits and colimits, adjunctions, monads, and different themes.
Suitable for complex undergraduates and graduate scholars in arithmetic, the textual content presents instruments for knowing and attacking tricky difficulties in algebra, quantity idea, algebraic geometry, and algebraic topology. Drawing upon a wide 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 remove darkness from extra easy mathematical principles. necessities are restricted to familiarity with a few simple set thought and logic.

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

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