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1、AlltheMathematicsYouMissedBeginninggraduatestudentsinmathematicsandotherquantitativesubjectsareexpectedtohaveadauntingbreadthofmathematicalknowledge,butfewhavesuchabackground.Thisbookwillhelpstudentsseethebroadoutlineofmathematicsandtofillinthegapsintheirknowle
2、dge.Theauthorexplainsthebasicpointsandafewkeyresultsofthemostimportantundergraduatetopicsinmathematics,emphasizingtheintuitionsbehindthesubject.Thetopicsincludelinearalgebra,vectorcalculus,differentialgeometry,realanalysis,point-settopology,differentialequation
3、s,probabilitytheory,complexanalysis,abstractalgebra,andmore.Anannotatedbibliographyoffersaguidetofurtherreadingandmorerigorousfoundations.Thisbookwillbeanessentialresourceforadvancedundergraduateandbeginninggraduatestudentsinmathematics,thephysicalsciences,engi
4、neering,computerscience,statistics,andeconomics,andforanyoneelsewhoneedstoquicklylearnsomeseriousmathematics.ThomasA.GarrityisProfessorofMathematicsatWilliamsCollegeinWilliamstown,Massachusetts.HewasanundergraduateattheUniversityofTexas,Austin,andagraduatestude
5、ntatBrownUniversity,receivinghisPh.D.in1986.From1986to1989,hewasG.c.EvansInstructoratRiceUniversity.In1989,hemovedtoWilliamsCollege,wherehehasbeeneversinceexceptin1992-3,whenhespenttheyearattheUniversityofWashington,and2000-1,whenhespenttheyearattheUniversityof
6、Michigan,AnnArbor.AlltheMathematicsYouMissedButNeedtoKnowforGraduateSchoolThomasA.GarrityWilliamsCollegeFiguresbyLoriPedersenCAMBRIDGEUNIVERSITYPRESSPUBLISHEDBYTHEPRESSSYNDICATEOFTHEUNIVERSITYOFCAMBRIIX:;EThePittBuilding,TrumpingtonStreet,Cambridge,UnitedKingdo
7、mCAMBRIDGEUNIVERSITYPRESSTheEdinburghBuilding,CambridgeCB22RU,UK40West20thStreet,NewYork,NY10011-4211,USA10StamfordRoad,Oakleigh,VIC3166,AustraliaRuizdeAlarcon13,28014Madrid,SpainDockHouse,TheWaterfront,CapeTown8001,SouthAfricahttp://www.cambridge.org©ThomasAGa
8、rrity2002Thisbookisincopyright.Subjecttostatutoryexceptionandtotheprovisionsofrelevantcollectivelicensingagreements,noreproductionofanypartmaytakeplacewithoutthewrittenpermi