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Excursions into Combinatorial Geometry (Universitext) Paperback - 1996 - 1997th Edition
by Boltyanski, Vladimir
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- Good
- Paperback
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Details
- Title Excursions into Combinatorial Geometry (Universitext)
- Author Boltyanski, Vladimir
- Binding Paperback
- Edition number 1997th
- Edition 1997
- Condition Used - Good
- Pages 423
- Volumes 1
- Language ENG
- Publisher Springer
- Date 1996-11-14
- Illustrated Yes
- Features Bibliography, Illustrated
- Bookseller's Inventory # 3540613412.G
- ISBN 9783540613411 / 3540613412
- Weight 1.43 lbs (0.65 kg)
- Dimensions 9.34 x 6.17 x 1.02 in (23.72 x 15.67 x 2.59 cm)
- Library of Congress Catalog Number 96026787
- Dewey Decimal Code 516.13
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First line
In this monograph, we will be concerned with n-dimensional vector space Rn.
From the rear cover
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 problems from the combinatorial geometry of convex bodies (unsolved in the general case): 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. Each section is supplemented by a wide range of exercises and the geometric approach to many topics is illustrated with the help of more than 250 figures.