Bodies of Constant Width
An Introduction to Convex Geometry with Applications
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ISBN-13:
9783030038663
Veröffentl:
2019
Einband:
HC runder Rücken kaschiert
Erscheinungsdatum:
28.03.2019
Seiten:
500
Autor:
Horst Martini
Gewicht:
1241 g
Format:
260x183x31 mm
Sprache:
Englisch
Beschreibung:
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.
Provides an extensive exploration of constant width bodies
Introduction.- Convex Geometry.- Basic Properties of Bodies of Constant Width.- Figures of Constant Width.- Systems of Lines in the Plane.- Spindle Convexity.- Complete and Reduced Convex Bodies.- Examples and Constructions.- Sections of Bodies of Constant Width.- Bodies of Constant Width in Mikowski Spaces.- Bodies of Constant Width in Differential Geometry.- Mixed Volumes.- Bodies of Constant Width in Analysis.- Geometric Inequalities.- Bodies of Constant Width in Discrete Geometry.- Bodies of Constant Width in Topology.- Concepts Related to Constant Width.- Bodies of Constant Width in Art, Design, and Engineering.
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