Many of the major advancements in pure mathematics made throughout the 20th century were made possible because of category theory.

The courses that author Emily Riehl taught at Harvard and Johns Hopkins Universities served as the basis for this succinct, unique text for a one-semester introduction to the topic.

The presentation covers categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads, Kan extensions, and other key ideas in category theory.

The text offers methods for comprehending and tackling challenging issues in algebra, number theory, algebraic geometry, and algebraic topology. It is appropriate for advanced undergraduate and graduate math students.

The author demonstrates how the ideas and structures of category theory derive from and illuminate more fundamental mathematical notions by using a wide variety of mathematical examples from the categorical perspective.