Convex Surfaces

Convex SurfacesIn this self contained geometry text, the author describes the main results of convex surface theory, providing all definitions and precise theorems. The first half focuses on extrinsic geometry and applications of the Brunn Minkowski theory. The second part examines intrinsic geometry and the realization of intrinsic metrics. Starting with a brief overview of notations and terminology, the text proceeds to convex curves, the theorems of Meusnier and

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Chapters 1–4 cover wave motion in the simple structural shapes

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