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Selected Topics in Convex Geometry

Maria Moszynska (Autor)

Buch | Softcover

226 Seiten

2005 | 2006 ed.
Birkhauser Boston Inc (Verlag)
978-0-8176-4396-6 (ISBN)

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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

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