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Basic Category Theory for Computer Scientists
 
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Basic Category Theory for Computer Scientists [Paperback]

Benjamin C. Pierce (Author)
4.0 out of 5 stars  See all reviews (4 customer reviews)
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Book Description

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.

About the Author

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

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4 Reviews
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4.0 out of 5 stars (4 customer reviews)
 
 
 
 
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3.0 out of 5 stars A Good "Tutorial" on Category Theory, Feb 1 2007
By 
M. Le - See all my reviews
(REAL NAME)   
This review is from: Basic Category Theory for Computer Scientists (Paperback)
As previous reviewers had already said, this is a very good introduction of category theory. The writing style is clear. It covers most of the major concepts fast using good examples, but it doesn't get deeply into anything. However, I really appreciated the "Further Reading" chapter where he introduced other reference works with a short summary for each. That might help you a lot in choosing what to read next after this book. Personally I borrowed this book from library for a fast and fun read, but definitely wouldn't buy a copy for myself.
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3.0 out of 5 stars Too terse, Mar 27 2004
By A Customer
This review is from: Basic Category Theory for Computer Scientists (Paperback)
This is a very short book: 70 pages of text + a bibliography. The first 50 pages are about general category theory, and the last 20 pages are specifically for computer scientists. My interest is in general category theory, and I bought this because I have a BS in CS and thought I'd find plenty of familiar examples. Unfortunately this book doesn't have nearly enough examples. I found it easier to skim some undergrad abstract algebra books in the library (groups, rings, vector spaces) and then continuing with category theory intros written for math students.
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5.0 out of 5 stars Clear and concise, Dec 12 2001
By 
Michael Rosenborg (Canyonville, OR USA) - See all my reviews
(REAL NAME)   
This review is from: Basic Category Theory for Computer Scientists (Paperback)
This is an excellent introduction to category theory, not just for computer scientists, but for mathematicians as well. The author has a very clear writing style--it's evident that he writes to help people to understand the subject, and not to show off his knowledge. The examples illustrating various principles are easy to understand, especially the ones used to illustrate adjoints, arguably one of the more difficult concepts in category theory. This book also comes with a very valuable annotated bibliography, enabling one to intelligently choose from the many books and articles in this burgeoning field.

Read this book before you tackle Mac Lane.

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