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1、MathematicalMethodsforEngineersandScientists1K.T.TangMathematicalMethodsforEngineersandScientists1ComplexAnalysis,DeterminantsandMatricesWith49Figuresand2Tables123ProfessorDr.Kwong-TinTangPacificLutheranUniversityDepartmentofPhysicsTacoma,WA98447,USAE-mail:tangka@plu.eduLibraryofCongressControlNum
2、ber:2006932619ISBN-103-540-30273-5SpringerBerlinHeidelbergNewYorkISBN-13978-3-540-30273-5SpringerBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broa
3、dcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.Violationsareliableforprosecutionunderth
4、eGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMedia.springer.com©Springer-VerlagBerlinHeidelberg2007Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsan
5、dregulationsandthereforefreeforgeneraluse.TypesettingbytheauthorandSPiusingaSpringerLATEXmacropackageCoverdesign:eStudioCalamarSteinenPrintedonacid-freepaperSPIN:1157639657/3100/SPi543210PrefaceForsome30years,Ihavetaughttwo“MathematicalPhysics”courses.Oneofthemwaspreviouslynamed“EngineeringAnalys
6、is.”Thereareseveraltext-booksofunquestionablemeritforsuchcourses,butIcouldnotfindonethatfittedourneeds.Itseemedtomethatstudentsmighthaveaneasiertimeifsomechangesweremadeinthesebooks.Iendedupusingclassnotes.Actually,Ifeltthesameaboutmyownnotes,sotheygotchangedagainandagain.Throughouttheyears,manystu
7、dentsandcolleagueshaveurgedmetopublishthem.Iresisteduntilnow,becausethetopicswerenotnewandIwasnotsurethatmywayofpresentingthemwasreallymuchbetterthanothers.Inrecentyears,someformerstudentscamebacktotellmethattheystillf
