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.
Read More ↓Title Statements
- Full title :Category theory for the sciences / David I. Spivak.
Summary
An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences.
Read More ↓Edition Statements
- Publication Date:©2014
Publication Statements
- Publisher(s):The MIT Press
- Place of Publication:Cambridge, Massachusetts
- Language:eng
- Publication Date:©2014
The Physical Object
- Description:1 online resource (viii, 486 pages) : : illustrations
Edition Identifiers
- ISBN:9780262320528, 0262320525, 9780262320535, 0262320533
- oclc:ocn893909845
- LC Classification:Q175.32.M38
- Dewey Decimal:512/.62
Table of Contents
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.
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