Category theory for the sciences / (Record no. 39653)

000 -LEADER
fixed length control field 03608nam a2200529 i 4500
001 - CONTROL NUMBER
control field 6961923
003 - CONTROL NUMBER IDENTIFIER
control field IEEE
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20190220121651.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr |n|||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 151223s2014 maua ob 001 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780262028134
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780262320528
Qualifying information electronic
035 ## - SYSTEM CONTROL NUMBER
System control number (CaBNVSL)mat06961923
035 ## - SYSTEM CONTROL NUMBER
System control number (IDAMS)0b00006482849317
040 ## - CATALOGING SOURCE
Original cataloging agency CaBNVSL
Language of cataloging eng
Description conventions rda
Transcribing agency CaBNVSL
Modifying agency CaBNVSL
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number Q175.32.M38
Item number S65 2014eb
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512/.62
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Spivak, David I.,
Dates associated with a name 1978-,
Relator term author.
245 10 - TITLE STATEMENT
Title Category theory for the sciences /
Statement of responsibility, etc. David I. Spivak.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Cambridge, Massachusetts :
Name of producer, publisher, distributor, manufacturer MIT Press,
Date of production, publication, distribution, manufacture, or copyright notice [2014]
264 #2 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture [Piscataqay, New Jersey] :
Name of producer, publisher, distributor, manufacturer IEEE Xplore,
Date of production, publication, distribution, manufacture, or copyright notice [2014]
300 ## - PHYSICAL DESCRIPTION
Extent 1 PDF (viii, 486 pages) :
Other physical details illustrations.
336 ## - CONTENT TYPE
Content type term text
Source rdacontent
337 ## - MEDIA TYPE
Media type term electronic
Source isbdmedia
338 ## - CARRIER TYPE
Carrier type term online resource
Source rdacarrier
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references (pages 475-478) and index.
506 1# - RESTRICTIONS ON ACCESS NOTE
Terms governing access Restricted to subscribers or individual electronic text purchasers.
520 ## - SUMMARY, ETC.
Summary, etc. Category theory was invented in the 1940s to unify and synthesize different areas in mathematics, and it has proven remarkably successful in enabling powerful communication between disparate fields and subfields within mathematics. This book shows that category theory can be useful outside of mathematics as a rigorous, flexible, and coherent modeling language throughout the sciences. Information is inherently dynamic; the same ideas can be organized and reorganized in countless ways, and the ability to translate between such organizational structures is becoming increasingly important in the sciences. Category theory offers a unifying framework for information modeling that can facilitate the translation of knowledge between disciplines. Written in an engaging and straightforward style, and assuming little background in mathematics, the book is rigorous but accessible to non-mathematicians. Using databases as an entry to category theory, it begins with sets and functions, then introduces the reader to notions that are fundamental in mathematics: monoids, groups, orders, and graphs -- categories in disguise. After explaining the "big three" concepts of category theory -- categories, functors, and natural transformations -- the book covers other topics, including limits, colimits, functor categories, sheaves, monads, and operads. The book explains category theory by examples and exercises rather than focusing on theorems and proofs. It includes more than 300 exercises, with selected solutions. Category Theory for the Sciences is intended to create a bridge between the vast array of mathematical concepts used by mathematicians and the models and frameworks of such scientific disciplines as computation, neuroscience, and physics.
530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE
Additional physical form available note Also available in print.
538 ## - SYSTEM DETAILS NOTE
System details note Mode of access: World Wide Web
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Title from PDF.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on PDF viewed 12/23/2015.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Categories (Mathematics)
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Science
General subdivision Mathematical models.
655 #0 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
695 ## -
-- Epitaxial layers
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-- Excitons
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-- Nitrogen
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-- Radiative recombination
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-- Silicon carbide
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-- Temperature measurement
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element IEEE Xplore (Online Service),
Relator term distributor.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element MIT Press,
Relator term publisher.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version
International Standard Book Number 9780262028134
856 42 - ELECTRONIC LOCATION AND ACCESS
Materials specified Abstract with links to resource
Uniform Resource Identifier http://ieeexplore.ieee.org/xpl/bkabstractplus.jsp?bkn=6961923

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