Selected Topics in Convex Geometry
The field of convex geometry has become a fertile subject of mathematical activity in the past few decades. This exposition, examining in detail those topics in convex geometry that are concerned with Euclidean space, is enriched by numerous examples, illustrations, and exercises, with a good biblio...
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| Format: | eBook |
| Language: | English |
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Boston, MA
Birkhäuser
2006, 2006
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| Edition: | 1st ed. 2006 |
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| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- I
- Metric Spaces
- Subsets of Euclidean Space
- Basic Properties of Convex Sets
- Transformations of the Space Kn of Compact Convex Sets
- Rounding Theorems
- Convex Polytopes
- Functionals on the Space Kn. The Steiner Theorem
- The Hadwiger Theorems
- Applications of the Hadwiger Theorems
- II
- Curvature and Surface Area Measures
- Sets with positive reach. Convexity ring
- Selectors for Convex Bodies
- Polarity
- III
- Star Sets. Star Bodies
- Intersection Bodies
- Selectors for Star Bodies