Categories and Computer Science

Hardcover (Print)
Buy New
Buy New from BN.com
$113.28
Used and New from Other Sellers
Used and New from Other Sellers
from $32.32
Usually ships in 1-2 business days
(Save 72%)
Other sellers (Hardcover)
  • All (5) from $32.32   
  • New (3) from $75.20   
  • Used (2) from $32.32   

Overview

Category theory has, in recent years, become increasingly important and popular in computer science, and many universities now include it as part of their curriculums. This text is geared to students of mathematics as well as undergraduate computer scientists.
Read More Show Less

Editorial Reviews

From the Publisher
"Nice, crisp introduction to category theory, motivated by examples and use in computer science. Mathematical sophistication blends nicely with fundamental concepts and examples to make the connections (and usefulness) understandable to good undergraduates." The American Mathematical Monthly

"Within the setting of distributive categories, nicely explained here, one sees data structure abstractions done properly. The example of queues is the most compelling in that all of the structure of distributive categories is used....strongly recommend[ed]. David B. Benson, Computing Reviews

"...probably the clearest introduction to category theory written to date." The Bulletin of Mathematics Books

Read More Show Less

Product Details

  • ISBN-13: 9780521419970
  • Publisher: Cambridge University Press
  • Publication date: 12/28/2006
  • Series: Computer Science Texts Series
  • Pages: 180
  • Product dimensions: 5.98 (w) x 8.98 (h) x 0.55 (d)

Table of Contents

Introduction 1
1 The Algebra of Functions 3
1 Categories 3
2 General Examples 8
3 Free Categories; Generators and Relations 10
4 Some Large Categories 14
5 The Dual of a Category 16
Problems 20
2 Products and Sums 25
1 Initial and Terminal objects 25
2 Products 27
3 Categories with Products; Circuits 32
4 Products of Families 39
5 Sums 42
6 Categories with Sums; Flow Charts 45
Problems 52
3 Distributive Categories 55
1 The Distributive Law 55
2 Examples 58
3 Imperative Programs 62
Problems 68
4 Data Types 71
1 Arithmetic 71
2 Stacks 74
3 Arrays 80
4 Binary Trees 81
5 Queues 83
6 Pointers 86
7 Turing Machines 87
Problems 90
5 Categories of Functors 93
1 Functors 93
2 Functor Categories 99
3 Directed Graphs and Regular Grammars 102
4 Automata and Imperative Programs with Input 112
5 The Specification of Functions 116
6 What Does Free Mean? 120
7 Adjoint Functors 123
Problems 126
6 More About Products 129
1 The Free Category with Products 129
2 Functional Specification with Products 133
3 Context-free Languages 137
4 Natural Numbers and Cartesian Closed Categories 138
Problems 141
7 Computational Category Theory 143
1 The Knuth-Bendix Procedure 143
2 Computing Left Kan Extensions 147
Problems 159
References 161
Index 163
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)