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Conceptual Mathematics A First Introduction to Categories

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ISBN-10: 052171916X

ISBN-13: 9780521719162

Edition: 2nd 2008

Authors: F. William Lawvere, Stephen H. Schanuel

List price: $65.99
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Description:

In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics introduces this tool for the learning, development, and use of mathematics, to beginning students and also to practising mathematical scientists. This book provides a skeleton key that makes explicit some concepts and procedures that are common to all branches of pure and applied mathematics. 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…    
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Book details

List price: $65.99
Edition: 2nd
Copyright year: 2008
Publisher: Cambridge University Press
Publication date: 7/30/2009
Binding: Paperback
Pages: 404
Size: 6.73" wide x 9.61" long x 0.98" tall
Weight: 1.760
Language: English

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