Category Theory 在线电子书 图书标签: 范畴论 数学 category-theory Mathematics 数学-范畴论 Math CS theory
发表于2024-11-05
Category Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024
@2017-08-31 21:48:46
评分看过最舒服的书
评分I once see somebody in StackExchange calling it "Awodey's great book"
评分steve在cmu的讲义改写而来,这书非常通俗易懂。同类的书还有leinster和mclarty所写的。
评分太抽象啦!
Category theory is a branch of abstract algebra with incredibly diverse applications. This text and reference book is aimed not only at mathematicians, but also researchers and students of computer science, logic, linguistics, cognitive science, philosophy, and any of the other fields in which the ideas are being applied. Containing clear definitions of the essential concepts, illuminated with numerous accessible examples, and providing full proofs of all important propositions and theorems, this book aims to make the basic ideas, theorems, and methods of category theory understandable to this broad readership. Although assuming few mathematical pre-requisites, the standard of mathematical rigour is not compromised. The material covered includes the standard core of categories; functors; natural transformations; equivalence; limits and colimits; functor categories; representables; Yoneda's lemma; adjoints; monads. An extra topic of cartesian closed categories and the lambda-calculus is also provided - a must for computer scientists, logicians and linguists! This Second Edition contains numerous revisions to the original text, including expanding the exposition, revising and elaborating the proofs, providing additional diagrams, correcting typographical errors and, finally, adding an entirely new section on monoidal categories. Nearly a hundred new exercises have also been added, many with solutions, to make the book more useful as a course text and for self-study.
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Category Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024