Manfredo DoCarmo, Instituto de Matematica Pura e Aplicada
©1976 |Pearson | Out of print
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This volume covers local as well as global differential geometry of curves and surfaces.
1. Curves: Parametrized Curves.
2. Regular Surfaces: Regular Surfaces; Inverse Images of Regular Values.
3. Geometry of the Gauss Map: Definition of the Gauss Map and Its Fundamental Properties.
4. Intrinsic Geometry of Surfaces: Isometrics; Conformal Maps.
5. Global Differential Geometry: Rigidity of the Sphere.
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