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Fundamental structures of algebra and discrete mathematics / (Record no. 4333)

000 -LEADER
fixed length control field	05695cam a2200961 a 4500
001 - CONTROL NUMBER
control field	u2347
003 - CONTROL NUMBER IDENTIFIER
control field	SA-PMU
005 - DATE AND TIME OF LATEST TRANSACTION
control field	20210418123718.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field	930526s1994 nyua b 001 0 eng
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number	93008787
040 ## - CATALOGING SOURCE
Original cataloging agency	DLC
Language of cataloging	eng
Transcribing agency	DLC
Modifying agency	UKM
--	NLC
--	BAKER
--	NLGGC
--	BTCTA
--	YDXCP
--	OCLCG
--	UBC
--	ZWZ
--	ZCU
--	DEBBG
--	OCLCQ
015 ## - NATIONAL BIBLIOGRAPHY NUMBER
National bibliography number	GB94-43837
019 ## -
--	30736620
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	0471571806 (cloth : acid-free paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	9780471571803 (cloth : acid-free paper)
035 ## - SYSTEM CONTROL NUMBER
System control number	(OCoLC)28294690
Canceled/invalid control number	(OCoLC)30736620
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number	QA155
Item number	.F65 1994
055 #0 - CLASSIFICATION NUMBERS ASSIGNED IN CANADA
Classification number	QA155
Item number	F64 1993
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number	512/.02
Edition number	20
084 ## - OTHER CLASSIFICATION NUMBER
Classification number	31.20
Number source	bcl
084 ## - OTHER CLASSIFICATION NUMBER
Classification number	MAT 050f
Number source	stub
084 ## - OTHER CLASSIFICATION NUMBER
Classification number	MAT 110f
Number source	stub
084 ## - OTHER CLASSIFICATION NUMBER
Classification number	SK 200
Number source	rvk
084 ## - OTHER CLASSIFICATION NUMBER
Classification number	SK 230
Number source	rvk
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC)
OCLC library identifier	NLGGC
System control number	108272524
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC)
OCLC library identifier	NZ1
System control number	4188288
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC)
OCLC library identifier	AU@
System control number	000010139004
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC)
OCLC library identifier	ZWZ
System control number	017188415
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC)
OCLC library identifier	DEBBG
System control number	BV009695244
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name	Foldes, Stephan,
Dates associated with a name	1951-
245 10 - TITLE STATEMENT
Title	Fundamental structures of algebra and discrete mathematics /
Statement of responsibility, etc.	Stephan Foldes.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc.	New York :
Name of publisher, distributor, etc.	Wiley,
Date of publication, distribution, etc.	c1994.
300 ## - PHYSICAL DESCRIPTION
Extent	xv, 344 p. :
Other physical details	ill. ;
Dimensions	23 cm.
500 ## - GENERAL NOTE
General note	"A Wiley-Interscience publication."
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note	Includes bibliographical references and indexes.
520 ## - SUMMARY, ETC.
Summary, etc.	Structures are defined by laws of composition, rules of generation, and relations. The objects on which these laws operate may be numbers, geometric objects like points and lines, or abstract symbols. Algebra is the study of mathematical laws, with a search for general principles that do not depend on what the objects are. Fundamental Structures of Algebra and Discrete Mathematics is an introduction to the twelve basic kinds of structures - sets, ordered sets, groups, rings, fields, vector spaces, graphs, lattices, matroids, topological spaces, universal algebras, and categories - that underlie algebra and discrete mathematics. Beginning with the most basic type of structure, sets, this unique reference provides a detailed look at the theoretical underpinning of each structure, shedding light on the significance of each structure as well as their interrelation. Using a self-contained approach that requires little previous knowledge of mathematical definitions, results, or methods, the book examines selected key aspects of these structures, including closure systems, generators, substructures, homomorphisms and congruences, equational axioms, connections with basic set theory, finiteness conditions, combinatorial properties, and discrete algorithmic procedures. Several classical results are proved, including the Abel-Ruffini theorem on unsolvability by radicals, Helly's theorem on intersecting convex sets, and a simplified version of the Godel-Herbrand completeness theorem. Many of the results are relevant to current research. Highly interactive in approach, the book features numerous exercises and examples woven throughout the text that allow the reader to become fully acquainted with the character and function of each structure. Additional questions, designed to stretch the reader's analytical skills, appear at the end of each section. Similar to a grammar book that explains the fundamental structures essential to mastering a language, Fundamental Structures of Algebra and Discrete Mathematics is a systematic examination of the basic algebraic structures needed to understand and manipulate advanced mathematical concepts. A cornerstone reference that is both a clear primer and rigorous study guide, Fundamental Structures of Algebra and Discrete Mathematics is indispensable to the student and professional seeking to learn or use the methods of modern algebra.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note	3. Greedy Optimization Procedures -- X. Topological Spaces. 1. Filters. 2. Closure, Convergence, and Continuity. 3. Distances and Entourages -- XI. Universal Algebras. 1. Homomorphisms and Congruences. 2. Algebra of Syntax. 3. Truth and Formal Proof -- XII. Categories.
596 ## -
--	1 2
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	Algebra.
653 0# - INDEX TERM--UNCONTROLLED
Uncontrolled term	Abstract algebra
650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	Algebra.
Source of heading or term	gtt
650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	Numerieke wiskunde.
Source of heading or term	gtt
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	Algèbre.
Source of heading or term	ram
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	Informatique
General subdivision	Mathématiques.
Source of heading or term	ram
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	catégorie.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	algèbre universelle.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	espace topologique.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	matroïde.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	treillis.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	graphe.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	espace vectoriel.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	champ.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	anneau.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	groupe.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	ensemble ordonné.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	ensemble.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	mathématiques discrètes.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	algèbre.
650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	Algebraische Struktur.
Source of heading or term	swd
650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	Diskrete Mathematik.
Source of heading or term	swd
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	catégorie.
Source of heading or term	inriac
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	algèbre universelle.
Source of heading or term	inriac
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	espace topologique.
Source of heading or term	inriac
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	matroïde.
Source of heading or term	inriac
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	treillis.
Source of heading or term	inriac
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	graphe.
Source of heading or term	inriac
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	espace vectoriel.
Source of heading or term	inriac
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	champ.
Source of heading or term	inriac
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	anneau.
Source of heading or term	inriac
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	groupe.
Source of heading or term	inriac
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	ensemble ordonné.
Source of heading or term	inriac
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	ensemble.
Source of heading or term	inriac
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	mathématiques discrètes.
Source of heading or term	inriac
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	algèbre.
Source of heading or term	inriac
856 42 - ELECTRONIC LOCATION AND ACCESS
Materials specified	Publisher description
Uniform Resource Identifier	<a href="http://catdir.loc.gov/catdir/description/wiley037/93008787.html">http://catdir.loc.gov/catdir/description/wiley037/93008787.html</a>
856 4# - ELECTRONIC LOCATION AND ACCESS
Materials specified	Table of Contents
Uniform Resource Identifier	<a href="http://catdir.loc.gov/catdir/toc/onix01/93008787.html">http://catdir.loc.gov/catdir/toc/onix01/93008787.html</a>
938 ## -
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938 ## -
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938 ## -
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942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type	Books
994 ## -
--	Z0
--	SUPMU
948 ## - LOCAL PROCESSING INFORMATION (OCLC); SERIES PART DESIGNATOR (RLIN)
h (OCLC)	NO HOLDINGS IN SUPMU - 296 OTHER HOLDINGS

Holdings
Withdrawn status	Lost status	Damaged status	Not for loan	Home library	Current library	Date acquired	Total Checkouts	Full call number	Date last seen	Price effective from	Koha item type	Public note
				Female Library	Female Library	04/15/2021		QA155 .F65 1994	04/15/2021	04/15/2021	Books	STACKS
				Main Library	Main Library	04/15/2021		QA155 .F65 1994	04/15/2021	04/15/2021	Books	STACKS