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1、ThispageintentionallyleftblankMathsAStudent’sSurvivalGuideThisfriendlyself-helpworkbookcoversmathematicsessentialtofirst-yearundergraduatescientistsandengineers.Inthesecondeditionofthishighlysuccessfultextbooktheauthorhascompletelyrevisedtheexistingtextandaddedatotallynewchapteronvector
2、s.Mathematicsunderpinsallscienceandengineeringdegrees,andthismaycauseproblemsforstudentswhoseunderstandingofthesubjectisweak.InthisbookJennyOliveusesherextensiveexperienceofteachingandhelpingstudentsbygivingaclearandconfidentpresentationofthecoremathematicsneededbystudentsstartingscienc
3、eorengineeringcourses.Eachtopicisintroducedverygently,beginningwithsimpleexamplesthatbringoutthebasics,andthenmovingontotacklemorechallengingproblems.Theauthortakesthetimetoexplainthetricksofthetradeandalsoshortcuts,butiscarefultoexplaincommonerrorsallowingstudentstoanticipateandavoidth
4、em.Thebookcontainsmorethan820execises,withdetailedsolutionsgiveninthebacktoallowstudentswhogetstucktoseeexactlywheretheyhavegonewrong.Topicscoveredincludetrigonometryandhyperbolicfunctions,sequencesandseries(withdetailedcoverageofbinomialseries),differentiationandintegration,complexnumb
5、ers,andvectors.Thisself-studyguidetointroductorycollegemathematicswillbeinvaluabletostudentswhowanttobrushuponthesubjectbeforestartingtheircourse,ortohelpthemdeveloptheirskillsandunderstandingwhileatuniversity.JennyOliveMathsAStudent’sSurvivalGuideCambridge,NewYo
6、rk,Melbourne,Madrid,CapeTown,Singapore,SãoPauloCambridgeUniversityPressTheEdinburghBuilding,Cambridge,UnitedKingdomPublishedintheUnitedStatesofAmericabyCambridgeUniversityPress,NewYorkwww.cambridge.orgInformationonthistitle:www.cambridge.org/9780521017077©JennyOlive2003Thisbookisi
7、ncopyright.Subjecttostatutoryexceptionandtotheprovisionofrelevantcollectivelicensingagreements,noreproductionofanypartmaytakeplacewithoutthewrittenpermissionofCambridgeUniversityPress.Firstpublishedinprintformat2003-----eBook(AdobeReader)----e