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Book synopsis

The book deals with the combinatorial geometry of convex bodies in finite-dimensional spaces. A general introduction to geometric convexity is followed by the investigation of d-convexity and H-convexity, and by various applications. Recent research is discussed, for example the three (generally unsolved) problems from the combinatorial geometry of convex bodies: the Szoekefalvi-Nagy problem, the Borsuk problem, the Hadwiger covering problem. These and related questions are then applied to a new class of convex bodies which is a natural generalization of the class of zonoids: the class of belt bodies. Finally open research problems are discussed.

Book details

Book category Books in English Mathematics & science Mathematics Topology

• Full title: Excursions into Combinatorial Geometry
• Author: Vladimir Boltyanski, Horst Martini, P. S. Soltan
• Language: English
• Binding: Paperback
• Number of pages: 423
• EAN: 9783540613411
• ISBN: 3540613412
• ID: 01566148
• Publisher: Springer, Berlin
• Weight: 640 g
• Dimensions: 234 × 156 × 22 mm
• Date of publishing: 17. October 2001

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