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1、GekelerMathematicalMethodsforMechanicsEckartW.GekelerMathematicalMethodsforMechanicsAHandbookwithMATLABExperiments123Prof.Dr.EckartW.GekelerFormeraffiliation:InstitutfurAngewandteAnalysis¨undNumerischeSimulation(IANS)UniversitatStuttgart¨Pfaffenwaldring5770550Stuttgar
2、tGermanyEckart.Gekeler@mathematik.uni-stuttgart.deeckart.gekeler@t-online.dehttp://www.ians.uni-stuttgart.de/AbNumMath/GekelerOriginallypublishedinGermanasMathematischeMethodenzurMechanik,ISBN978-3-540-30267-4,c2006ISBN:978-3-540-69278-2e-ISBN:978-3-540-69279-9Libra
3、ryofCongressControlNumber:2008929625c2008Springer-VerlagBerlinHeidelbergThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproduc
4、tiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.Violationsareliabletoprosec
5、utionundertheGermanCopyrightLaw.Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Coverdesign
6、:WMXDesign,Heidelberg,GermanyPrintedonacid-freepaper987654321springer.comPrefaceMathematicsisundoubtedlythekeytostate-of-the-arthightechnology.Itisaninternationaltechnicallanguageandprovestobeaneternallyyoungsciencetothosewhohavelearneditsways.Longanindispensablepart
7、ofresearchthankstomodelingandsimulation,mathematicsisenjoyingparticularvital-itynowmorethanever.Nevertheless,thisstormydevelopmentisresultinginincreasinglyhighrequirementsforstudentsintechnicaldisciplines,whilegeneralinterestinmathematicscontinuestowaneatthesametime.
8、ThisbookanditsappendicesontheInternetseektodealwiththisissue,helpingstudentsmasterthedifficulttransitionfromthereceptivetotheproducti