Results and Problems in Combinatorial Geometry - Couverture rigide

Boltjansky, Vladimir G.; Gohberg, Israel

 
9780521262989: Results and Problems in Combinatorial Geometry

Synopsis

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

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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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780521269230: Results and Problems in Combinatorial Geometry

Edition présentée

ISBN 10 :  0521269237 ISBN 13 :  9780521269230
Editeur : Cambridge University Press, 2009
Couverture souple