Basic Category Theory for Computer Scientists

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MIT Press, 1991 - Computers - 100 pages
14 Reviews

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. Benjamin C. Pierce received his doctoral degree from Carnegie Mellon University.Contents : Tutorial. Applications. Further Reading.


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Review: Basic Category Theory for Computer Scientists

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While this book is an interesting read, it is definitely NOT BASIC. I've had a hard time understanding many of the concepts in the way they're explained, even though this isn't the first thing I've ... Read full review

Review: Basic Category Theory for Computer Scientists

User Review  - Goodreads

This is the most concise introductory category theory book I've seen so far. Read full review


Basic Constructions
Functors Natural Transformations and Adjoints
Further Reading
Summary of Notation

Common terms and phrases

Popular passages

Page 88 - 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.
Page 91 - EG Wagner), Rational algebraic theories and fixed point solutions, in Proceedings 17th IEEE Symposium on Foundations of Computer Science, Houston, Texas (1976).
Page 87 - In Maurice Nivat and John C. Reynolds, editors, Algebraic Methods in Semantics, pages 237-250.

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Roy L. Crole
Limited preview - 1993
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About the author (1991)

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

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