Bodies of Constant Width An Introduction to Convex Geometry with Applications /

• Κύριοι συγγραφείς: Martini, Horst (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Montejano, Luis (http://id.loc.gov/vocabulary/relators/aut), Oliveros, Déborah (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Έκδοση: 1st ed. 2019.
• Θέματα: Convex geometry .; Discrete geometry.; Differential geometry.; Mathematical analysis.; Analysis (Mathematics).; Combinatorics.; Topology.; Convex and Discrete Geometry.; Differential Geometry.; Analysis.

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...

Πίνακας περιεχομένων:

• 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.