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Category theory for the sciences /
An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, Massachusetts :
The MIT Press,
[2014]
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Chapter 1
- Introduction; 1.1 A brief history of category theory; 1.2 Intention of this book; 1.3 What is requested from the student; 1.4 Category theory references; Chapter 2
- The Category of Sets; 2.1 Sets and functions; 2.2 Commutative diagrams; 2.3 Ologs; Chapter 3
- Fundamental Considerations in Set; 3.1 Products and coproducts; 3.2 Finite limits in Set; 3.3 Finite colimits in Set; 3.4 Other notions in Set; Chapter 4
- Categories and Functors, Without Admitting It; 4.1 Monoids; 4.2 Groups; 4.3 Graphs; 4.4 Orders; 4.5 Databases: schemas and instances.
- Chapter 5
- Basic Category Theory5.1 Categories and functors; 5.2 Common categories and functors from pure math; 5.3 Natural transformations; 5.4 Categories and schemas are equivalent; Chapter 6
- Fundamental Considerations of Categories; 6.1 Limits and colimits; 6.2 Other notions in Cat; Chapter 7
- Categories at Work; 7.1 Adjoint functors; 7.2 Categories of functors; 7.3 Monads; 7.4 Operads; References; Index.