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1、SusanneC.BrennerL.RidgwayScottTheMathematicalTheoryofFiniteElementMethodsThirdEditionABCSusanneC.BrennerL.RidgwayScottDepartmentofMathematicsandCenterUniversityofChicagoforComputationandTechnologyChicago,IL60637LouisianaStateUniversityUSABatonRouge,LA70803ridg@uchicago.eduUSAbrenner@math.lsu.
2、eduSeriesEditorsL.SirovichJ.E.MarsdenDivisionofAppliedMathematicsControlandDynamicSystems,107-81BrownUniversityCaliforniaInstituteofTechnologyProvidence,RI02912Pasadena,CA91125USAUSAS.S.AntmanDepartmentofMathematicsandInstituteforPhysicalScienceandTechnologyUniversityofMarylandCollegePark,MD2
3、0742-4015USAssa@math.umd.eduISBN978-0-387-75933-3e-ISBN978-0-387-75934-0DOI:10.1007/978-0-387-75934-0LibraryofCongressControlNumber:2007939977MathematicsSubjectClassification(2000):65N30,65–01,46N40,65M60,74S05c2008SpringerScience+BusinessMedia,LLCAllrightsreserved.Thisworkmaynotbetranslatedo
4、rcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftw
5、are,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.Printedonacid-freepa
6、per987654321springer.comSeriesPrefaceMathematicsisplayinganevermoreimportantroleinthephysicalandbiologicalsciences,provokingablurringofboundariesbetweenscientificdisciplinesandaresurgenceofinterestinthemodernaswellastheclas-sicaltechniquesofappliedmathematics.Thisrenewalofinterest,bothinresear
7、chandteaching,hasledtotheestablishmentoftheseriesTextsinAppliedMathematics(TAM).Thedevelopmentofnewcoursesisanaturalconsequenceofahighlevelofexcitementontheresearchfrontierasnewertechniques,suchasnumericalandsymboliccomputersystems,dynamicals
