
Differential Geometry of Curves and Surfaces, 1/e
Manfredo DoCarmo, Instituto de Matematica Pura e Aplicada Published February, 1976 by Prentice Hall Engineering/Science/Mathematics
 
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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.
