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1、ThispageintentionallyleftblankMathsAStudent’sSurvivalGuideThisfriendlyself-helpworkbookcoversmathematicsessentialtofirst-yearundergraduatescientistsandengineers.Inthesecondeditionofthishighlysuccessfultextbooktheauthorhascompletelyrevisedtheexistingtextandaddedatotallynewchapteronvectors.Mathematics
2、underpinsallscienceandengineeringdegrees,andthismaycauseproblemsforstudentswhoseunderstandingofthesubjectisweak.InthisbookJennyOliveusesherextensiveexperienceofteachingandhelpingstudentsbygivingaclearandconfidentpresentationofthecoremathematicsneededbystudentsstartingscienceorengineeringcourses.Each
3、topicisintroducedverygently,beginningwithsimpleexamplesthatbringoutthebasics,andthenmovingontotacklemorechallengingproblems.Theauthortakesthetimetoexplainthetricksofthetradeandalsoshortcuts,butiscarefultoexplaincommonerrorsallowingstudentstoanticipateandavoidthem.Thebookcontainsmorethan820execises,w
4、ithdetailedsolutionsgiveninthebacktoallowstudentswhogetstucktoseeexactlywheretheyhavegonewrong.Topicscoveredincludetrigonometryandhyperbolicfunctions,sequencesandseries(withdetailedcoverageofbinomialseries),differentiationandintegration,complexnumbers,andvectors.Thisself-studyguidetointroductorycoll
5、egemathematicswillbeinvaluabletostudentswhowanttobrushuponthesubjectbeforestartingtheircourse,ortohelpthemdeveloptheirskillsandunderstandingwhileatuniversity.JennyOliveMathsAStudent’sSurvivalGuideCambridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,SãoPauloCambridgeUniversit
6、yPressTheEdinburghBuilding,Cambridge,UnitedKingdomPublishedintheUnitedStatesofAmericabyCambridgeUniversityPress,NewYorkwww.cambridge.orgInformationonthistitle:www.cambridge.org/9780521017077©JennyOlive2003Thisbookisincopyright.Subjecttostatutoryexceptionandtotheprovisionofrelevantcollectivelic
7、ensingagreements,noreproductionofanypartmaytakeplacewithoutthewrittenpermissionofCambridgeUniversityPress.Firstpublishedinprintformat2003-----eBook(AdobeReader)----e