Selected Topics in Convex Geometry

(Autor)

Buch | Softcover
226 Seiten
2005
Birkhauser Boston Inc (Verlag)
978-0-8176-4396-6 (ISBN)

Lese- und Medienproben

Selected Topics in Convex Geometry - Maria Moszynska
64,19 inkl. MwSt
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
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich