Selected Topics in Convex Geometry
Seiten
2005
Birkhauser Boston Inc (Verlag)
978-0-8176-4396-6 (ISBN)
Birkhauser Boston Inc (Verlag)
978-0-8176-4396-6 (ISBN)
Suitable for graduates courses or seminars in convex geometry, geometric and convex combinatorics, and convex analysis and optimization, this title examines those topics in convex geometry that are concerned with Euclidean space.
Examines in detail those topics in convex geometry that are concerned with Euclidean space Enriched by numerous examples, illustrations, and exercises, with a good bibliography and index Requires only a basic knowledge of geometry, linear algebra, analysis, topology, and measure theory Can be used for graduates courses or seminars in convex geometry, geometric and convex combinatorics, and convex analysis and optimization
Examines in detail those topics in convex geometry that are concerned with Euclidean space Enriched by numerous examples, illustrations, and exercises, with a good bibliography and index Requires only a basic knowledge of geometry, linear algebra, analysis, topology, and measure theory Can be used for graduates courses or seminars in convex geometry, geometric and convex combinatorics, and convex analysis and optimization
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.
| Zusatzinfo | 30 Illustrations, black and white; XVIII, 226 p. 30 illus. With online files/update. |
|---|---|
| Verlagsort | Secaucus |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 0-8176-4396-6 / 0817643966 |
| ISBN-13 | 978-0-8176-4396-6 / 9780817643966 |
| Zustand | Neuware |
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