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Bodies of Constant Width (An Introduction to Convex Geometry with Applications) by Martini, Horst; Montejano, Luis; Oliveros, Déborah is a scholarly article available to read on EtoBox.

What is Bodies of Constant Width (An Introduction to Convex Geometry with Applications) about?

"This is the first comprehensive monograph to thoroughly investigate constant width bodies, which is a classic area of interest within convex geometry. It examines bodies of constant width from several points of view, and, in doing so, shows surprising connections between various areas of mathematics. Concise explanations and detailed proofs demonstrate the many interesting properties and applications of these bodies. Numerous instructive diagrams are provided throughout to illustrate these concepts. An introduction to convexity theory is first provided, and the basic properties of constant width bodies are then presented. The book then delves into a number of related topics, which include Constant width bodies in convexity (sections and projections, complete and reduced sets, mixed volumes, and further partial fields) Sets of constant width in non-Euclidean geometries (in real Banach spaces, and in hyperbolic, spherical, and further non-Euclidean spaces) The concept of constant width in analysis (using Fourier series, spherical integration, and other related methods) Sets of constant width in differential geometry (using systems of lines and discussing notions like curvature, evol

Author

Martini, Horst; Montejano, Luis; Oliveros, Déborah

Publisher

Springer International Publishing : Imprint : Birkhäuser

Published

2019

Language

DE

ISBN

9783030038687