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Conceptual Mathematics: A First Introduction to Categories

F. William Lawvere and Stephen H. Schanuel
Publisher: 
Cambridge University Press
Publication Date: 
2009
Number of Pages: 
390
Format: 
Paperback
Edition: 
2
Price: 
60.00
ISBN: 
9780521719162
Category: 
Textbook
We do not plan to review this book.

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