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Abstract
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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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.
Key concepts: Geometry, Differential geometry of curves, Differential geometry, Differential (mechanical device), Mathematics, Physics, Mathematical analysis, Differential equation