圖書標籤: 數學 範疇論 category math 計算機 數理 數學-範疇論 基礎數學
发表于2024-11-03
Category Theory in Context pdf epub mobi txt 電子書 下載 2024
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 course on 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, 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. Prerequisites are limited to familiarity with some basic set theory and logic.
Emily Riehl is Assistant Professor in the Department of Mathematics at Johns Hopkins University. She received her Ph.D. from the University of Chicago in 2011 and was a Benjamin Pierce and NSF Postdoctoral Fellow at Harvard University from 2011-15. She is also the author of Categorical Homotopy Theory.
2018春
評分讀過的最好的範疇論入門書
評分讀過的最好的範疇論入門書
評分2018春
評分讀過的最好的範疇論入門書
A DISCLAIMER ABOUT THE PREREQUISITIES [Karo's review] frames the issue quite nicely: The Mathemagician’s Axiom of Textbook Prerequisites: Let M be the minimum actual prerequisites for an average student being able to read and understand a given presentatio...
評分A DISCLAIMER ABOUT THE PREREQUISITIES [Karo's review] frames the issue quite nicely: The Mathemagician’s Axiom of Textbook Prerequisites: Let M be the minimum actual prerequisites for an average student being able to read and understand a given presentatio...
評分A DISCLAIMER ABOUT THE PREREQUISITIES [Karo's review] frames the issue quite nicely: The Mathemagician’s Axiom of Textbook Prerequisites: Let M be the minimum actual prerequisites for an average student being able to read and understand a given presentatio...
評分A DISCLAIMER ABOUT THE PREREQUISITIES [Karo's review] frames the issue quite nicely: The Mathemagician’s Axiom of Textbook Prerequisites: Let M be the minimum actual prerequisites for an average student being able to read and understand a given presentatio...
評分A DISCLAIMER ABOUT THE PREREQUISITIES [Karo's review] frames the issue quite nicely: The Mathemagician’s Axiom of Textbook Prerequisites: Let M be the minimum actual prerequisites for an average student being able to read and understand a given presentatio...
Category Theory in Context pdf epub mobi txt 電子書 下載 2024