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1、MATHEMATICALMETHODSINTHEPHYSICALSCIENCESThirdEditionMARYL.BOASDePaulUniversityMATHEMATICALMETHODSINTHEPHYSICALSCIENCESMATHEMATICALMETHODSINTHEPHYSICALSCIENCESThirdEditionMARYL.BOASDePaulUniversityPUBLISHERKayePaceSENIORACQUISITIONSEditorStuartJohnsonPRODUCTIONMANAGERPamKennedyPRODUCTION
2、EDITORSarahWolfman-RobichaudMARKETINGMANAGERAmandaWygalSENIORDESIGNERDawnStanleyEDITORIALASSISTANTKristaJarmas/AlysonRentropPRODUCTIONMANAGERJanFisher/PublicationServicesThisbookwassetin10/12ComputerModernbyPublicationServicesandprintedandboundbyR.R.Donnelley-Willard.Thecoverwasprintedb
3、yLehighPress.Thisbookisprintedonacidfreepaper.Copyright2006JohnWiley&Sons,Inc.Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystemortransmittedinanyformorbyanymeans,electronic,mechanical,photocopying,recording,scanning,orotherwise,exceptaspermittedunderSect
4、ions107or108ofthe1976UnitedStatesCopyrightAct,withouteitherthepriorwrittenpermissionofthePublisher,orauthorizationthroughpaymentoftheappropriateper-copyfeetotheCopyrightClearanceCenter,Inc.,222RosewoodDrive,Danvers,MA01923,(978)750-8400,fax(978)750-4470oronthewebatwww.copyright.com.Requ
5、eststothePublisherforpermissionshouldbeaddressedtothePermissionsDepartment,JohnWiley&Sons,Inc.,111RiverStreet,Hoboken,NJ07030-5774,(201)748-6011,fax(201)748-6008,oronlineathttp://www.wiley.com/go/permissions.Toorderbooksorforcustomerserviceplease,call1-800-CALLWILEY(225-5945).ISBN0-471-
6、19826-9ISBN-13978-0-471-19826-0ISBN-WIE0-471-36580-7ISBN-WIE-13978-0-471-36580-8PrintedintheUnitedStatesofAmerica10987654321TothememoryofRPBPREFACEThisbookisparticularlyintendedforthestudentwithayear(orayearandahalf)ofcalculuswhowantstodevelop,inashorttime,abasiccompetenceineachoftheman
7、yareasofmathematicsneededinjuniortosenior-graduatecoursesinphysics,chemistry,andengineering.Thusitisintendedtobeaccessibletosophomores(orfreshmenwithAPcalculusfromhighschool).Itmayalsobeusedeffectivelybyamoreadvancedstudenttoreviewhalf-forgottentopicsorlearnnewones,eitherbyindep