Differential Geometry of Curves and Surfaces
by Manfredo P. do Carmo · Manfredo P. do Carmo
Classical treatment of curves and surfaces in three-dimensional space: curvature, the Gauss map, intrinsic geometry, geodesics, and the Gauss-Bonnet theorem. Completing it gives the concrete surface intuition that abstract Riemannian geometry and manifold theory later generalize.
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