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1、FrederickH.SoonStudent'sGuidetobyJ.MarsdenandA.WeinsteinVolumeIISpringer-VerlagNewYorkBerlinHeidelbergTokyoStudent'sGuidetoCalc~llusbyJ.MarsdenandA.WeinsteinVolumeIICopyright1985Springer-Verlag.Allrightsreserved.FrederickH.SoonStudent'sGuidetobyJ.MarsdenandA.WeinsteinWith103IllustrationsSpringer-Ver
2、lagNewYorkBerlinHeidelbergTokyoCopyright1985Springer-Verlag.Allrightsreserved.AMSSubiectClassification:26-01LibraryofCongressCataloging-in-PublicationDataSoon,FrederickId.Student'sguidetoCalculusbyJ.MarsidenandA.Weinstein.Vol~~rne2.GuidetoMarsclenandWeinstein'sCalculusII.1.Calculus.I.Vlarsden,Jerrol
3、dE.CalculusI!.II.Title.QA303.S773198551585-25095cc:1985bySpringer-VerlagNewYorkInc.Allrightsreserved.NopartofthisbookmaybetranslatedorreproducedInanytormwithoutwrittenpermissionfromSpringer-Verlag,175FifthAvenue,NewYork,NewYork10010.U.S.A.PrintedandboundbyHallidayLithograph,WestHanover,Massachusetts
4、PrintedintheUn~tedStatesofAmerica.ISBN0-387-96234-4Springer-VerlagNewYorkBerlinHeidelbergTokyoISBN3-540-96234-4Springer-VerlagBerlinHeidelbergNewYorkTokyoCopyright1985Springer-Verlag.Allrightsreserved.Dedicatedto:Henry,Ora,Dennis,andDebbieCopyright1985Springer-Verlag.Allrightsreserved.FOREWORDThisSt
5、udentGuideisexceptional,maybeevenunique,amongsuchguidesinthatitsauthor,FredSoon,wasactuallyastudentuserofthetextbookduringoneoftheyearswewerewritinganddebuggingthebook.(Hewasoneofthebeststudentsthatyear,bytheway.)Becauseofhisbackground,Fredhastaken,intheGuide,thepointofviewofanexperiencedstudenttuto
6、rhelpingyoutolearncalculus.WhilewedonotalwaysthinkFred'sjokesareasfunnyashedoes,weappreciatehisenthusiasmandhisdesiretoenterintocommunicationwithhisreaders;sincewenearlyalwaysagreewiththemathe-maticaljudgementshehasmadeinexplainingthematerial,webelievethatthisGuidecanserveyouasavaluablesupplementtoo
7、urtext.TogetmaximumbenefitfromthisGuide,youshouldbeginbyspendingafewmomentstoacquaintyourselfwithitsstructure.Onceyougetstartedinthecourse,takeadvantageofthemanyopportunitieswhichthetextandStudentGuid