Conceptual mathematics : a first introduction to categories /
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| Main Author: | |
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| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
Cambridge, UK ; New York :
Cambridge University Press,
2009.
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| Edition: | Second edition. |
| Subjects: | |
| Online Access: | View Table of contents only |
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.