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1、MathematicalMethodsforEngineersandScientists2K.T.TangMathematicalMethodsforEngineersandScientists2VectorAnalysis,OrdinaryDifferentialEquationsandLaplaceTransformsWith73Figuresand4Tables123ProfessorDr.Kwong-TinTangPaci?cLutheranUniversityDepartmentofPhysicsTacoma,WA98447,USAE-mail:t
2、angka@plu.eduLibraryofCongressControlNumber:2006932619ISBN-103-540-30268-9SpringerBerlinHeidelbergNewYorkISBN-13978-3-540-30268-1SpringerBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,speci?callytherightsoftran
3、slation,reprinting,reuseofillustrations,recitation,broad-casting,reproductiononmicro?lmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemu
4、stalwaysbeobtainedfromSpringer.ViolationsareliabletoprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMedia.springer.com?Springer-VerlagBerlinHeidelberg2007Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,even
5、intheabsenceofaspeci?cstatement,thatsuchnamesareexemptfromtherelevantpro-tectivelawsandregulationsandthereforefreeforgeneraluse.ATypesettingbytheauthorandSPiusingaSpringerLTEXmacropackageCoverdesign:eStudioCalamarSteinenPrintedonacid-freepaperSPIN1158096657/3100/SPi543210PrefaceFor
6、somethirtyyears,Ihavetaughttwo“MathematicalPhysics”courses.Oneofthemwaspreviouslynamed“EngineeringAnalysis”.Thereareseveraltextbooksofunquestionablemeritforsuchcourses,butIcouldnot?ndonethat?ttedourneeds.Itseemedtomethatstudentsmighthaveaneasiertimeifsomechangesweremadeinthesebooks
7、.Iendedupusingclassnotes.ActuallyIfeltthesameaboutmyownnotes,sotheygotchangedagainandagain.Throughouttheyears,manystudentsandcolleagueshaveurgedmetopublishthem.Iresisteduntilnow,becausethetopicswerenotnewandIwasnotsurethatmywayofpresentingthemwasreallythatmuchbetterthanothers.Inrec
8、entyears,someformerstudent
