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1、SCHAUM'SOUTLINESERIESSchaum'sOutlineofTheoryandProblemsofBeginningCalculusSecondEditionElliottMendelson,Ph.D.ProfessorofMathematicsQueensCollegeCityUniversityofNewYorkTothememoryofmyfather,Joseph,andmymother,HelenELLIOTTMENDELSONisProfessorofMathematicsatQueensCollegeoftheCityUniversityofNewYo
2、rk.HealsohastaughtattheUniversityofChicago,ColumbiaUniversity,andtheUniversityofPennsylvania,andwasamemberoftheSocietyofFellowsofHarvardUniversity.Heistheauthorofseveralbooks,includingSchaum'sOutlineofBooleanAlgebraandSwitchingCircuits.Hisprincipalareaofresearchismathematicallogicandsettheory.
3、Schaum'sOutlineofTheoryandProblemsofBEGINNINGCALCULUSCopyright©1997,1985byTheMcGraw-HillCompanies,Inc.Allrightsreserved.PrintedintheUnitedStatesofAmerica.ExceptaspermittedundertheCopyrightActof1976,nopartofthispublicationmaybereproducedordistributedinanyformorbyanymeans,orstoredinadatabaseorre
4、trievalsystem,withoutthepriorwrittenpermissionofthepublisher.567891011121314151617181920PRSPRS90109ISBN0-07-041733-4SponsoringEditor:ArthurBidermanProductionSupervisor:SuzanneRapcavageEditingSupervisor:MaureenB.WalkerLibraryofCongressCataloging-in-PublicationDataMendelson,Elliott.Schaum'soutli
5、neoftheoryandproblemsofbeginningcalculus/ElliottMendelson,--2nded.p.cm.--(Schaum'soutlineseries)Includesindex.ISBN0-07-041733-4(pbk.)1.Calculus.2.Calculus--Problems,exercises,etc.I.Title.QA303.M3871997515'.076--dc2196-39852CIPPrefaceThisOutlineislimitedtotheessentialsofcalculus.Itcarefullydeve
6、lops,givingallsteps,theprinciplesofdifferentiationandintegrationonwhichthewholeofcalculusisbuilt.Thebookissuitableforreviewingthesubject,orasaself-containedtextforanelementarycalculuscourse.Theauthorhasfoundthatmanyofthedifficultiesstudentsencounterincalculusareduetoweaknessinalgebraandarithme
7、ticalcomputation,emphasishasbeenplacedonreviewingalgebraicandarithmeticaltechniqueswhenevertheyareused.Everyefforthasbeenmade—especiallyinregardtothecompositionofthesolvedproblems—toeasethebeginner'sentryintocalculus.Therearealsosome150
