Category theory for the sciences / David I. Spivak.
An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences.
Saved in:
| Online Access: |
Full Text (via IEEE) |
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| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge, Massachusetts :
The MIT Press,
[2014]
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| Subjects: |
MARC
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| 100 | 1 | |a Spivak, David I., |d 1978- |e author. |0 http://id.loc.gov/authorities/names/n2014020020 |1 http://isni.org/isni/0000000433792999. | |
| 245 | 1 | 0 | |a Category theory for the sciences / |c David I. Spivak. |
| 264 | 1 | |a Cambridge, Massachusetts : |b The MIT Press, |c [2014] | |
| 264 | 4 | |c ©2014. | |
| 300 | |a 1 online resource (viii, 486 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a computer |b c |2 rdamedia. | ||
| 338 | |a online resource |b cr |2 rdacarrier. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
| 520 | |a An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences. | ||
| 546 | |a English. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Science |x Mathematical models. | |
| 650 | 0 | |a Categories (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85020992. | |
| 650 | 7 | |a Categories (Mathematics) |2 fast |0 (OCoLC)fst00849000. | |
| 650 | 7 | |a Science |x Mathematical models. |2 fast |0 (OCoLC)fst01108309. | |
| 776 | 0 | 8 | |i Print version: |a Spivak, David I., 1978- |t Category theory for the sciences |z 9780262028134 |w (DLC) 2014007215 |w (OCoLC)876833252. |
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