出版社:高等教育出版社
年代:2007
定价:47.0
本书是《现代应用数学丛书》中的一本,由高等教育出版社和世界科技出版社共同合作出版,在国内和海外同时发行。随着微分几何的发展,有关微分几何的应用也在不断深入,并有相关的学术会议定期召开。本书内容包括辛几何指标理论、球几何理论、仿射微分几何、不定度量几何、奇点理论、子流形与极小曲面理论等现代微分几何的有关问题,是关于应用微分几何的综述性报告,具有很高的学术价值,可供相关专业的研究人员参考使用。
Preface
PhilippeG.Ciarlet:AnIntroductiontoDifferentialGeometryinR3
PhilippeG.Ciarlet,CristinelMardare:AnIntroductiontoShellTheory
DominiqueChapelle:SomeNewResultsandCurrentChallengesintheFiniteElementAnalysisofShells
PascalFrey:ADifferentialGeometryApproachtoMeshG
TheISFMA-CIMPASchoolon"DifferentialGeometry:TheoryandApplications"washeldon07August-18August2006,inthebuildingoftheChinese-FrenchInstituteforAppliedMathematics(ISFMA),FudanUniversity,Shanghai,China.ThisschoolwasjointlyorganizedbytheISFMAandtheCIMPA(InternationalCentreforPureandAppliedMathematics),Nice,France.AboutsixtyparticipantsfromChina,HongKong,France,Cambodia,India,Iran,Pakistan,Philippines,Romania,Russia,Sri-Lanka,Thailand,Turkey,UzbekistanandVietnamattendedthishighlysuccessfulevent. Thisbookgivesthebasicnotionsofdifferentialgeometry,suchasthemetrictensor,theRiemanncurvaturetensor,thefundamentalformsofasurface,covariantderivatives,andthefundamentaltheoremofsurfacetheoryinaself-containedandaccessiblemanner.Althoughthefieldisoftenconsidereda"classical"one,ithasrecentlybeenrejuvenated,thankstothemanifoldapplicationswhereitplaysanessentialrole.Thebookpresentssomeimportantapplicationstoshells,suchasthetheoryoflinearlyandnonlinearlyelasticshells,theimplementationofnumericalmethodsforshells,andmeshgenerationinfiniteelementmethods.Thisvolumewillbeveryusefultograduatestudentsandresearchersinpureandappliedmathematics.