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Discover the intricate world of convex surfaces with this essential guide from Dover Books on Mathematics. “Convex Surfaces” offers a self-contained exploration of key results, precise theorems, and necessary definitions. Delve into extrinsic geometry, including applications of the Brunn-Minkowski theory, and then explore intrinsic geometry and the realization of intrinsic metrics. This comprehensive text covers everything from convex curves and curvature theorems to intrinsic metrics, geodesics, and the Gauss-Bonnet theorem. Ideal for mathematicians and students seeking a deep understanding of geometric properties and the rigidity of convex shapes, including polyhedra and surfaces.
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