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{ "item_title" : "Excursions Into Combinatorial Geometry", "item_author" : [" Vladimir Boltyanski", "Horst Martini", "P. S. Soltan "], "item_description" : "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.", "item_img_path" : "https://covers4.booksamillion.com/covers/bam/3/54/061/341/3540613412_b.jpg", "price_data" : { "retail_price" : "74.95", "online_price" : "74.95", "our_price" : "74.95", "club_price" : "74.95", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Excursions Into Combinatorial Geometry|Vladimir Boltyanski

Excursions Into Combinatorial Geometry

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Overview

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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Details

  • ISBN-13: 9783540613411
  • ISBN-10: 3540613412
  • Publisher: Springer
  • Publish Date: November 1996
  • Dimensions: 9.34 x 6.17 x 1.02 inches
  • Shipping Weight: 1.43 pounds
  • Page Count: 423

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