Category Theory in Context

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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.

出版者:Dover Publications
作者:Emily Riehl
出品人:
页数:272
译者:
出版时间:2016-11-16
价格:0
装帧:Paperback
isbn号码:9780486809038
丛书系列:Dover Modern Math Originals
图书标签:
  • 数学 
  • 范畴论 
  • category 
  • math 
  • 计算机 
  • 数理 
  • 数学-范畴论 
  • 基础数学 
  •  
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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.

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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...

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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...

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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...

评分

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...

评分

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...

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