logic and boolean algebra - kathleen and hilbert levitz

logic and boolean algebra - kathleen and hilbert levitz

ID:14362568

大小:17.99 MB

页数:141页

时间:2018-07-28

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1、LOGCBarron'sEducationalSertes,Inc.AND$6.95I"hu+ditiesandinthesocialandmanagementsciences."1*IPresupposesonlysomehighschoolalgebra0ProvidesslowcultivationofmanipulativeskillsLGEWOODBURY,NEWYORKAllrightsreserved.Nopartofthisbookmaybereproducedinanyform.byphotostat,micr

2、ofilm,xerography,oranyothermeans,orincorporatedintoanyinformationretrievalsystem,electronicormechanical,withoutthewrittenpermissionofthecopyrightowner.Allinquiriesshouldbeaddressedto:Barron'sEducationalSeries,Inc.1I3CrosswaysParkDriveWoodbury,NewYork11797LibroryofCon

3、gressCatalogNo.75-1006InternationalStandardBookNo.0-8120-0537-6tiz~~aj-e~wrSJs(laLcvitz,Kathleen.LogicandBooleanalgebra.Bibliography:Includestndex.1.Logic,Symbolicandmathematical.2,Algebra,Boolean.-.,..."I.Levitz,-..,-Hilbert,--jointauthor.11T~tle.*,.,.,TOOURMENTORSJ

4、OEL.MOTTKURTSCHUTTEContentsPREFACEviiINTRODUCTIONviii1sentenceComposition11.1TheBasiciogicalOperations11.2TruthValues21.3AlternativeTranslations71.4ConversesandContrapositives81.5LogicFormsandTruthTables91.6Tautologies,Contradictions,andContingencies141.7SententialIn

5、consistency151.8ConstructingLogicFormsfromTruthTables162AlgebraofLogic212.1LogicalEquivalence212.2BasicEquivalences232.3AlgebraicManipulation242.4ConjunctiveNormalForm292.5ReductiontoConjunctiveNormalForm302.6UsesofConjunctiveNormalForm332.7DisjunctiveNormalForm352.8

6、Uses6fDisjunctiveNormalForm382.9InterdependenceoftheBasicLogicalOperations403AnalysisofInferences453.1SententialValidity453.2BasicInferences493.3CheckingSententialValidityofInferencesbyRepeatedUseofPreviouslyProvenInferences504SwitchingChits534.1RepresentingSwitching

7、CircuitsbyLogicForms534.2SimplifyingSwitchingCircuits58PrefaceThisbookwasintendedforstudentswhoplantostudyinthehu-manitiesandinthesocialandmanagementsciences.Studentsin-terestedinthephysicalandnaturalsciences,however,mightalsofinditsstudyrewarding.Allthatispresuppose

8、dissomehighschoolalgebra.Theauthorsstronglyurgethatthetopicsbestudiedintheorderinwhichtheyappearandthatnotopicsbeskipped.Inrecentye

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