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Excursions Into Combinatorial Geometry by Vladimir Boltyanski

Excursions Into Combinatorial Geometry

by Vladimir Boltyanski
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Book cover type: Paperback
  • ISBN13: 9783540613411
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 423
  • Original Price: EUR 54.95
  • Language: English
  • Edition: 1997
  • Item Weight: 660 grams
  • BISAC Subject(s): Geometry / Analytic, Combinatorics, and Calculus

From the Back 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.

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