Verfügbarkeit: Category theory for the sciences /

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.

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Spivak, David I., 1978- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge, Massachusetts : The MIT Press, [2014]
Schlagworte:	Science > Mathematical models. Categories (Mathematics) Sciences > Modèles mathématiques. Catégories (Mathématiques) Fuzzy set theory. Computer science. MATHEMATICS > Algebra > Intermediate. Science > Mathematical models
Online-Zugang:	Volltext
Zusammenfassung:	An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences.
Beschreibung:	1 online resource (viii, 486 pages) : illustrations
Bibliographie:	Includes bibliographical references and index.
ISBN:	9780262320528 0262320525 9780262320535 0262320533

Internformat

MARC


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author	Spivak, David I., 1978-
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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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publisher	The MIT Press,
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spelling	Spivak, David I., 1978- author https://id.oclc.org/worldcat/entity/E39PBJp9p9qBQbPTfph6jcvJXd http://id.loc.gov/authorities/names/n2014020020 Category theory for the sciences / David I. Spivak. Cambridge, Massachusetts : The MIT Press, [2014] ©2014 1 online resource (viii, 486 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. Print version record. An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences. 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. English. Science Mathematical models. Categories (Mathematics) http://id.loc.gov/authorities/subjects/sh85020992 Sciences Modèles mathématiques. Catégories (Mathématiques) Fuzzy set theory. bicssc Computer science. bicssc MATHEMATICS Algebra Intermediate. bisacsh Categories (Mathematics) fast Science Mathematical models fast has work: Category theory for the sciences (Text) https://id.oclc.org/worldcat/entity/E39PCH3byj8YDCpjf8Y7fGbxtC https://id.oclc.org/worldcat/ontology/hasWork Print version: Spivak, David I., 1978- Category theory for the sciences 9780262028134 (DLC) 2014007215 (OCoLC)876833252 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=875754 Volltext
spellingShingle	Spivak, David I., 1978- Category theory for the sciences / 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. Science Mathematical models. Categories (Mathematics) http://id.loc.gov/authorities/subjects/sh85020992 Sciences Modèles mathématiques. Catégories (Mathématiques) Fuzzy set theory. bicssc Computer science. bicssc MATHEMATICS Algebra Intermediate. bisacsh Categories (Mathematics) fast Science Mathematical models fast
subject_GND	http://id.loc.gov/authorities/subjects/sh85020992
title	Category theory for the sciences /
title_auth	Category theory for the sciences /
title_exact_search	Category theory for the sciences /
title_full	Category theory for the sciences / David I. Spivak.
title_fullStr	Category theory for the sciences / David I. Spivak.
title_full_unstemmed	Category theory for the sciences / David I. Spivak.
title_short	Category theory for the sciences /
title_sort	category theory for the sciences
topic	Science Mathematical models. Categories (Mathematics) http://id.loc.gov/authorities/subjects/sh85020992 Sciences Modèles mathématiques. Catégories (Mathématiques) Fuzzy set theory. bicssc Computer science. bicssc MATHEMATICS Algebra Intermediate. bisacsh Categories (Mathematics) fast Science Mathematical models fast
topic_facet	Science Mathematical models. Categories (Mathematics) Sciences Modèles mathématiques. Catégories (Mathématiques) Fuzzy set theory. Computer science. MATHEMATICS Algebra Intermediate. Science Mathematical models
url	https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=875754
work_keys_str_mv	AT spivakdavidi categorytheoryforthesciences

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