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Logic and Discrete Mathematics : (Record no. 32761)

MARC details
000 -LEADER
fixed length control field 04589nam a22004573i 4500
001 - CONTROL NUMBER
control field EBC7104043
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240724115644.0
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 cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s2015 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781118761090
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9781118751275
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC7104043
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL7104043
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1347028645
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA9 .C7423 2015
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 511.3
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Conradie, Willem.
245 10 - TITLE STATEMENT
Title Logic and Discrete Mathematics :
Remainder of title A Concise Introduction.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Newark :
Name of producer, publisher, distributor, manufacturer John Wiley & Sons, Incorporated,
Date of production, publication, distribution, manufacture, or copyright notice 2015.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2014.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (590 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement New York Academy of Sciences Series
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- Title Page -- Copyright -- Table of Contents -- List of Boxes -- Preface -- Acknowledgements -- About the Companion Website -- Chapter 1: Preliminaries -- 1.1 Sets -- 1.2 Basics of logical connectives and expressions -- 1.3 Mathematical induction -- Chapter 2: Sets, Relations, Orders -- 2.1 Set inclusions and equalities -- 2.2 Functions -- 2.3 Binary relations and operations on them -- 2.4 Special binary relations -- 2.5 Equivalence relations and partitions -- 2.6 Ordered sets -- 2.7 An introduction to cardinality -- 2.8 Isomorphisms of ordered sets. Ordinal numbers -- 2.9 Application: relational databases -- Chapter 3: Propositional Logic -- 3.1 Propositions, logical connectives, truth tables, tautologies -- 3.2 Propositional logical consequence. Valid and invalid propositional inferences -- 3.3 The concept and use of deductive systems -- 3.4 Semantic tableaux -- 3.5 Logical equivalences. Negating propositional formulae -- 3.6 Normal forms. Propositional resolution -- Chapter 4: First-Order Logic -- 4.1 Basic concepts of first-order logic -- 4.2 The formal semantics of first-order logic -- 4.3 The language of first-order logic: a deeper look -- 4.4 Truth, logical validity, equivalence and consequence in first-order logic -- 4.5 Semantic tableaux for first-order logic -- 4.6 Prenex and clausal normal forms -- 4.7 Resolution in first-order logic -- 4.8 Applications of first-order logic to mathematical reasoning and proofs -- Chapter 5: Number Theory -- 5.1 The principle of mathematical induction revisited -- 5.2 Divisibility -- 5.3 Computing greatest common divisors. Least common multiples -- 5.4 Prime numbers. The fundamental theorem of arithmetic -- 5.5 Congruence relations -- 5.6 Equivalence classes and residue systems modulo n -- 5.7 Linear Diophantine equations and linear congruences -- 5.8 Chinese remainder theorem.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 5.9 Euler's function. Theorems of Euler and Fermat -- 5.10 Wilson's theorem. Order of an integer -- 5.11 Application: public key cryptography -- Chapter 6: Combinatorics -- 6.1 Two basic counting principles -- 6.2 Combinations. The binomial theorem -- 6.3 The principle of inclusion-exclusion -- 6.4 The Pigeonhole Principle -- 6.5 Generalized permutations, distributions and the multinomial theorem -- 6.6 Selections and arrangements with repetition -- distributions of identical objects -- 6.7 Recurrence relations and their solution -- 6.8 Generating functions -- 6.9 Recurrence relations and generating functions -- 6.10 Application: classical discrete probability -- Chapter 7: Graph Theory -- 7.1 Introduction to graphs and digraphs -- 7.2 Incidence and adjacency matrices -- 7.3 Weighted graphs and path algorithms -- 7.4 Trees -- 7.5 Eulerian graphs and Hamiltonian graphs -- 7.6 Planar graphs -- 7.7 Graph colourings -- Index -- End User License Agreement.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Computer science-Mathematics-Textbooks.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Logic, Symbolic and mathematical-Textbooks.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Conradie, Willem
Title Logic and Discrete Mathematics
Place, publisher, and date of publication Newark : John Wiley & Sons, Incorporated,c2015
International Standard Book Number 9781118751275
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title New York Academy of Sciences Series
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=7104043">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=7104043</a>
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