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1、AlltheMathematicsYouMissedBeginninggraduatestudentsinmathematicsandotherquantitativesubjectsareexpectedtohaveadauntingbreadthofmathematicalknowledge,butfewhavesuchabackground.Thisbookwillhelpstudentsseethebroadoutlineofmathematicsandtofillinthegapsintheirknowledge.Theauthorexplainst
2、hebasicpointsandafewkeyresultsofthemostimportantundergraduatetopicsinmathematics,emphasizingtheintuitionsbehindthesubject.Thetopicsincludelinearalgebra,vectorcalculus,differentialgeometry,realanalysis,point-settopology,differentialequations,probabilitytheory,complexanalysis,abstract
3、algebra,andmore.Anannotatedbibliographyoffersaguidetofurtherreadingandmorerigorousfoundations.Thisbookwillbeanessentialresourceforadvancedundergraduateandbeginninggraduatestudentsinmathematics,thephysicalsciences,engineering,computerscience,statistics,andeconomics,andforanyoneelsewh
4、oneedstoquicklylearnsomeseriousmathematics.ThomasA.GarrityisProfessorofMathematicsatWilliamsCollegeinWilliamstown,Massachusetts.HewasanundergraduateattheUniversityofTexas,Austin,andagraduatestudentatBrownUniversity,receivinghisPh.D.in1986.From1986to1989,hewasG.c.EvansInstructoratRic
5、eUniversity.In1989,hemovedtoWilliamsCollege,wherehehasbeeneversinceexceptin1992-3,whenhespenttheyearattheUniversityofWashington,and2000-1,whenhespenttheyearattheUniversityofMichigan,AnnArbor.AlltheMathematicsYouMissedButNeedtoKnowforGraduateSchoolThomasA.GarrityWilliamsCollegeFigure
6、sbyLoriPedersenCAMBRIDGEUNIVERSITYPRESSPUBLISHEDBYTHEPRESSSYNDICATEOFTHEUNIVERSITYOFCAMBRIIX:;EThePittBuilding,TrumpingtonStreet,Cambridge,UnitedKingdomCAMBRIDGEUNIVERSITYPRESSTheEdinburghBuilding,CambridgeCB22RU,UK40West20thStreet,NewYork,NY10011-4211,USA10StamfordRoad,Oakleigh,VIC
7、3166,AustraliaRuizdeAlarcon13,28014Madrid,SpainDockHouse,TheWaterfront,CapeTown8001,SouthAfricahttp://www.cambridge.org©ThomasAGarrity2002Thisbookisincopyright.Subjecttostatutoryexceptionandtotheprovisionsofrelevantcollectivelicensingagreements,noreproductionofanypartmaytakeplacewit
8、houtthewrittenpermi
