Results and Problems in Combinatorial Geometry

Boltjansky, Vladimir G.; Gohberg, Israel

ISBN 10: 0521262984 / ISBN 13: 9780521262989

Edité par Cambridge University Press, 1985

A propos de cet article

Octavo bound in paper-covered boards. Condition: ex-library copy with some obliterated library marks; minor wear; else good. 108 pages.

N° de réf. du vendeur 303607A

Détails bibliographiques

• Titre: Results and Problems in Combinatorial Geometry
• Éditeur: Cambridge University Press
• Date de parution: 1985
• Langue: anglais
• ISBN à 10 chiffres: 0521262984
• ISBN à 13 chiffres: 9780521262989
• Reliure: Hardcover
• Édition: 1st Edition
• État de l'article: Good
• État de la jaquette: No Jacket

A propos de ce titre

Synopsis

In this short book, the authors discuss three types of problems from combinatorial geometry.

Présentation de l'éditeur

In this short book, the authors discuss three types of problems from combinatorial geometry: Borsuk's partition problem, covering convex bodies by smaller homothetic bodies, and the illumination problem. They show how closely related these problems are to each other. The presentation is elementary, with no more than high-school mathematics and an interest in geometry required to follow the arguments. Most of the discussion is restricted to two- and three-dimensional Euclidean space, though sometimes more general results and problems are given. Thus even the mathematically unsophisticated reader can grasp some of the results of a branch of twentieth-century mathematics that has applications in such disciplines as mathematical programming, operations research and theoretical computer science. At the end of the book the authors have collected together a set of unsolved and partially solved problems that a sixth-form student should be able to understand and even attempt to solve.