ElementaryDifferentialgeometryRevisedSecondEditionElementaryDifferentialgeometryRevisedSecondEdition▼▲BarrettO’NeillDepartmentofMathematicsUniversityofCalifornia,LosAngelesAMSTERDAM•BOSTON•HEIDELBERGLONDON•NEWYORKOXFORD•PARISSANDIEGO•SANFRANCISCOSINGAPORE•SYDNEY•TOKYOAnimprintofElsevierAcquisitionsEditor:PamelaChesterProjectManager:HeatherFurrowEditorialAssistant:KellyWeaverMarketingM...
DifferentialgeometryofCurvesandSurfacesManfredoP.doCarmoInstitutodeMatematicaPuraeAplicada(IMPA)RiodeJaneiro,BrazilPrentice-Hall,Inc.,UpperSaddleRiver,NewJersey07458ContentsPrefacevSomeRemarksonUsingthisBookvii1.Curves11-1Introduction11-2ParametrizedCurves21-3RegularCurves;ArcLength51-4TheVectorProductinR3//1-5TheLocalTheoryofCurvesParametrizedbyArcLength161-6TheLocalCanonicalForm271-7GlobalPro...
