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Differential Geometry: A First Course in Curves and Surfaces
Differential Geometry: A First Course in Curves and Surfaces
Date: 19 January 2011, 06:18

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Contents: Arclength Parametrization; Local Theory: Frenet Frame; Parametrized Surfaces and the First Fundamental Form; The Gauss Map and the Second Fundamental Form; Covariant Differentiation, Parallel Translation, and Geodesics; Holonomy and the Gauss-Bonnet Theorem; Hyperbolic Geometry; Surface Theory with Differential Forms; Calculus of Variations and Surfaces of Constant Mean Curvature; etc.

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