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1、MathematicalMethodsforEngineersandScientists1K.T.TangMathematicalMethodsforEngineersandScientists1ComplexAnalysis,DeterminantsandMatricesWith49Figuresand2Tables123ProfessorDr.Kwong-TinTangPacificLutheranUniversityDepartmentofPhysicsTacoma,WA98447,USAE-mail:tangka@plu.eduLibraryofCongressControl
2、Number:2006932619ISBN-103-540-30273-5SpringerBerlinHeidelbergNewYorkISBN-13978-3-540-30273-5SpringerBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitatio
3、n,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.Violationsareliableforprosecuti
4、onundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMedia.springer.com©Springer-VerlagBerlinHeidelberg2007Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprot
5、ectivelawsandregulationsandthereforefreeforgeneraluse.TypesettingbytheauthorandSPiusingaSpringerLATEXmacropackageCoverdesign:eStudioCalamarSteinenPrintedonacid-freepaperSPIN:1157639657/3100/SPi543210PrefaceForsome30years,Ihavetaughttwo“MathematicalPhysics”courses.Oneofthemwaspreviouslynamed“En
6、gineeringAnalysis.”Thereareseveraltext-booksofunquestionablemeritforsuchcourses,butIcouldnotfindonethatfittedourneeds.Itseemedtomethatstudentsmighthaveaneasiertimeifsomechangesweremadeinthesebooks.Iendedupusingclassnotes.Actually,Ifeltthesameaboutmyownnotes,sotheygotchangedagainandagain.Througho
7、uttheyears,manystudentsandcolleagueshaveurgedmetopublishthem.Iresisteduntilnow,becausethetopicswerenotnewandIwasnotsurethatmywayofpresentingthemwasreallymuchbetterthanothers.Inrecentyears,someformerstudentscamebacktotellmethattheystillf
