DIFFERENTIAL GEOMETRY: A First Course in Curves and Surfaces

CONTENTS1.CURVES1.Examples,ArclengthParametrization12.LocalTheory:FrenetFrame103.SomeGlobalResults222.SURFACES:LOCALTHEORY.1.ParametrizedSurfacesandtheFirstFundamentalForm352.TheGaussMapandtheSecondFundamentalForm443.TheCodazziandGaussEquationsandtheFundamentalTheorem