Category theory for the sciences / (Record no. 39653)
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000 -LEADER | |
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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. |
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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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