数学拾遗 all the mathematics you missed but need to know[garrity]

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1、AlltheMathematicsYouMissedBeginninggraduatestudentsinmathematicsandotherquantitativesubjectsareexpectedtohaveadauntingbreadthofmathematicalknowledge,butfewhavesuchabackground.Thisbookwillhelpstudentsseethebroadoutlineofmathematicsandtofillinthegapsintheirknowledge.Theauthorexplainsth

2、ebasicpointsandafewkeyresultsofthemostimportantundergraduatetopicsinmathematics,emphasizingtheintuitionsbehindthesubject.Thetopicsincludelinearalgebra,vectorcalculus,differentialgeometry,realanalysis,point-settopology,differentialequations,probabilitytheory,complexanalysis,abstractal

3、gebra,andmore.Anannotatedbibliographyoffersaguidetofurtherreadingandmorerigorousfoundations.Thisbookwillbeanessentialresourceforadvancedundergraduateandbeginninggraduatestudentsinmathematics,thephysicalsciences,engineering,computerscience,statistics,andeconomics,andforanyoneelsewhone

4、edstoquicklylearnsomeseriousmathematics.ThomasA.GarrityisProfessorofMathematicsatWilliamsCollegeinWilliamstown,Massachusetts.HewasanundergraduateattheUniversityofTexas,Austin,andagraduatestudentatBrownUniversity,receivinghisPh.D.in1986.From1986to1989,hewasG.c.EvansInstructoratRiceUni

5、versity.In1989,hemovedtoWilliamsCollege,wherehehasbeeneversinceexceptin1992-3,whenhespenttheyearattheUniversityofWashington,and2000-1,whenhespenttheyearattheUniversityofMichigan,AnnArbor.AlltheMathematicsYouMissedButNeedtoKnowforGraduateSchoolThomasA.GarrityWilliamsCollegeFiguresbyLo

6、riPedersenCAMBRIDGEUNIVERSITYPRESSPUBLISHEDBYTHEPRESSSYNDICATEOFTHEUNIVERSITYOFCAMBRIIX:;EThePittBuilding,TrumpingtonStreet,Cambridge,UnitedKingdomCAMBRIDGEUNIVERSITYPRESSTheEdinburghBuilding,CambridgeCB22RU,UK40West20thStreet,NewYork,NY10011-4211,USA10StamfordRoad,Oakleigh,VIC3166,A

7、ustraliaRuizdeAlarcon13,28014Madrid,SpainDockHouse,TheWaterfront,CapeTown8001,SouthAfricahttp://www.cambridge.org©ThomasAGarrity2002Thisbookisincopyright.Subjecttostatutoryexceptionandtotheprovisionsofrelevantcollectivelicensingagreements,noreproductionofanypartmaytakeplacewithoutthe

8、writtenpermi