|
Product Description
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 introduction to 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, 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 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. While the reader will be rewarded for familiarity with these background mathematical contexts, essential prerequisites are limited to basic set theory and logic.
Customers Who Bought This Item Also Bought
- Algebraic Topology
- Topoi: The Categorial Analysis of Logic (Dover Books on Mathematics)
- Category Theory for the Sciences (The MIT Press)
- An Invitation to Applied Category Theory: Seven Sketches in Compositionality
- The Little Typer (The MIT Press)
- Basic Category Theory for Computer Scientists (Foundations of Computing)
- Conceptual Mathematics: A First Introduction to Categories
- Categories for the Working Mathematician (Graduate Texts in Mathematics)
- Category Theory (Oxford Logic Guides)
- Algebra: Chapter 0 (Graduate Studies in Mathematics)
*If this is not the "Category Theory in Context (Aurora: Dover Modern Math Originals)" product you were looking for, you can check the other results by clicking this link. Details were last updated on Oct 19, 2024 00:55 +08.