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1、MATHEMATICALMETHODSFORPHYSICISTSSIXTHEDITIONGeorgeB.ArfkenMiamiUniversityOxford,OHHansJ.WeberUniversityofVirginiaCharlottesville,VAAmsterdamBostonHeidelbergLondonNewYorkOxfordParisSanDiegoSanFranciscoSingaporeSydneyTokyoThispageintentionallyleftblank
2、MATHEMATICALMETHODSFORPHYSICISTSSIXTHEDITIONThispageintentionallyleftblankAcquisitionsEditorTomSingerProjectManagerSimonCrumpMarketingManagerLindaBeattieCoverDesignEricDeCiccoCompositionVTEXTypesettingServicesCoverPrinterPhoenixColorInteriorPrinterTh
3、eMaple–VailBookManufacturingGroupElsevierAcademicPress30CorporateDrive,Suite400,Burlington,MA01803,USA525BStreet,Suite1900,SanDiego,California92101-4495,USA84Theobald’sRoad,LondonWC1X8RR,UKThisbookisprintedonacid-freepaper.∞Copyright©2005,ElsevierIn
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6、port”andthen“ObtainingPermissions.”LibraryofCongressCataloging-in-PublicationDataAppicationsubmittedBritishLibraryCataloguinginPublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibraryISBN:0-12-059876-0CaseboundISBN:0-12-088584-0Inte
7、rnationalStudentsEditionForallinformationonallElsevierAcademicPressPublicationsvisitourWebsiteatwww.books.elsevier.comPrintedintheUnitedStatesofAmerica050607080910987654321CONTENTSPrefacexi1VectorAnalysis11.1Definitions,ElementaryApproach.............
8、........11.2RotationoftheCoordinateAxes......................71.3ScalarorDotProduct...........................121.4VectororCrossProduct..........................181.5TripleScalarProduct,TripleVectorProduct...............251.6Gradient,∇...............