Conceptual Mathematics
A First Introduction to Categories
2nd Edition
$69.99 (X)
 Authors:
 F. William Lawvere, State University of New York, Buffalo
 Stephen H. Schanuel, State University of New York, Buffalo
 Date Published: August 2009
 availability: In stock
 format: Paperback
 isbn: 9780521719162
$
69.99
(X)
Paperback

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.
Read more Authors are world class authorities on the subject
 Only text at this elementary level  requires only highschool algebra
 Applications in pure and applied mathematics, computer science, physics, linguistics, logic and philosophy
Reviews & endorsements
"This outstanding book on category theory is in a class by itself. It should be consulted at various stages of one’s mastery of this fundamental body of knowledge."
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×Product details
 Edition: 2nd Edition
 Date Published: August 2009
 format: Paperback
 isbn: 9780521719162
 length: 404 pages
 dimensions: 244 x 171 x 25 mm
 weight: 0.78kg
 contains: 575 b/w illus. 12 tables 213 exercises
 availability: In stock
Table of Contents
Foreword
Note to the reader
Preview
Part I. The Category of Sets:
1. Sets, maps, composition
Part II. The Algebra of Composition:
2. Isomorphisms
Part III. Categories of Structured Sets:
3. Examples of categories
Part IV. Elementary Universal Mapping Properties:
4. Universal mapping properties
Part V. Higher Universal Mapping Properties:
5. Map objects
6. The contravariant parts functor
7. The components functor
Appendix 1. Geometry of figures and algebra of functions
Appendix 2. Adjoint functors
Appendix 3. The emergence of category theory within mathematics
Appendix 4. Annotated bibliography.Instructors have used or reviewed this title for the following courses
 Finite Mathematics
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