9780521719162

Conceptual Mathematics : A First Introduction to Categories

by
  • ISBN13:

    9780521719162

  • ISBN10:

    052171916X

  • Edition: 2nd
  • Format: Paperback
  • Copyright: 2009-08-31
  • Publisher: Cambridge University Press
  • Purchase Benefits
  • Free Shipping On Orders Over $35!
    Your order must be $35 or more to qualify for free economy shipping. Bulk sales, PO's, Marketplace items, eBooks and apparel do not qualify for this offer.
  • Get Rewarded for Ordering Your Textbooks! Enroll Now
  • We Buy This Book Back!
    In-Store Credit: $4.11
    Check/Direct Deposit: $3.91
    PayPal: $3.91
List Price: $64.99 Save up to $2.59
  • Buy New
    $64.34
    Add to Cart Free Shipping

    SPECIAL ORDER: 1-2 WEEKS

Supplemental Materials

What is included with this book?

Summary

In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics, Second Edition, introduces the concept of 'category' for the learning, development, and use of mathematics, to both beginning students and general readers, and to practicing mathematical scientists. The treatment does not presuppose knowledge of specific fields, but rather develops, from basic definitions, such elementary categories as discrete dynamical systems and directed graphs; the fundamental ideas are then illuminated by examples in these categories.

Table of Contents

Foreword
Note to the reader
Preview
The Category of Sets
Sets, maps, composition
The Algebra of Composition
Isomorphisms
Categories of Structured Sets
Examples of categories
Elementary Universal Mapping Properties
Universal mapping properties
Higher Universal Mapping Properties
Map objects
The contravariant parts functor
The components functor; Appendix
Geometry of figures and algebra of functions; Appendix
Adjoint functors; Appendix
The emergence of category theory within mathematics
Appendix
Annotated bibliography
Table of Contents provided by Publisher. All Rights Reserved.

Rewards Program

Write a Review