Differential Geometry: A First Course in Curves and Surfaces

Small book cover: Differential Geometry: A First Course in Curves and Surfaces

Differential Geometry: A First Course in Curves and Surfaces

Publisher: University of Georgia
Number of pages: 127

Contents: Curves (Examples, Arclength Parametrization, Local Theory: Frenet Frame, Some Global Results), Surfaces: Local Theory (Parametrized Surfaces and the First Fundamental Form, The Gauss Map and the Second Fundamental Form, The Codazzi and Gauss Equations, Covariant Differentiation, Parallel Translation, and Geodesics) Surfaces: Further Topics (Holonomy and the Gauss-Bonnet Theorem, Hyperbolic Geometry, Surface Theory with Differential Forms, Calculus of Variations and Surfaces of Constant Mean Curvature).

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