Basic Category Theory for Computer Scientists

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Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories.

Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concurrency, where it is already a standard language of discourse. Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts.

Contents
Tutorial * Applications * Further Reading

 

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I believe this is an excellent introduction to Category theory, and I believe that *someday* I'll make it through this book. But considered as applied mathematics, I just don't get the point of the ... レビュー全文を読む

目次

Basic Constructions
1
Functors Natural Transformations and Adjoints
36
Applications
53
Further Reading
73
Bibliography
81
Summary of Notation
93
著作権

多く使われている語句

人気のある引用

88 ページ - In DH Pitt, DE Rydeheard, P. Dybjer, AM Pitts, and A. Poigne, editors, Category Theory and Computer Science, volume 389 of Lecture Notes in Computer Science, pages 118,127.
91 ページ - EG Wagner), Rational algebraic theories and fixed point solutions, in Proceedings 17th IEEE Symposium on Foundations of Computer Science, Houston, Texas (1976).
87 ページ - In Maurice Nivat and John C. Reynolds, editors, Algebraic Methods in Semantics, pages 237-250.

著者について (1991)

Benjamin C. Pierce is Professor of Computer and Information Science at the University of Pennsylvania.

書誌情報