Bodies of Constant Width An Introduction to Convex Geometry with Applications
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...
| Main Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2019, 2019
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| Edition: | 1st ed. 2019 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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