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1、MikhailItskovTensorAlgebraandTensorAnalysisforEngineersMikhailItskovTensorAlgebraandTensorAnalysisforEngineersWithApplicationstoContinuumMechanicsWith13Figuresand3Tables123ProfessorDr.-Ing.MikhailItskovRWTHAachenUniversityDepartmentofContinuumMechanicsEilfschornsteinstr.1852062AachenGerma
2、nyitskov@km.rwth-aachen.deLibraryofCongressControlNumber:2007920572ISBN978-3-540-36046-9SpringerBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,speci?callytherightsoftranslation,reprinting,reuseofillustrations,recitati
3、on,broad-casting,reproductiononmicro?lmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.Violationsareliableforpr
4、osecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediaspringer.com?Springer-VerlagBerlinHeidelberg2007Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspeci?cstatement,thatsuchnamesareexemptfromther
5、elevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Typesetting:camera-readybytheAuthorProduction:LE-TEXJelonek,Schmidt&V?cklerGbR,LeipzigCover:eStudioCalamar,SpainPrintedonacid-freepaper7/3100YL-543210MoimroditelmPrefaceLikemanyothertextbooksthepresentoneisbasedonalectureco
6、ursegivenbytheauthorformasterstudentsoftheRWTHAachenUniversity.Inspiteofasomewhatdi?cultmatterthosestudentswereabletoendureand,asfarasIknow,arestill?ne.Iwishthesameforthereaderofthebook.Althoughthepresentbookcanbereferredtoasatextbookone?ndsonlylittleplaintextinside.Itriedtoexplainthematt
7、erinabriefway,neverthe-lessgoingintodetailwherenecessary.Ialsoavoidedtediousintroductionsandlengthyremarksaboutthesigni?canceofonetopicoranother.Areaderin-terestedintensoralgebraandtensoranalysisbutpreferring,however,wordsinsteadofequationscanclosethisbookimmediatel
