Results and Problems in Combinatorial Geometry

Israel Gohberg author Vladimir G Boltjansky author A Harris translator B Bollobás translator

Format:Hardback

Publisher:Cambridge University Press

Published:10th Oct '85

Currently unavailable, our supplier has not provided us a restock date

This hardback is available in another edition too:

Results and Problems in Combinatorial Geometry cover

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

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.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.

ISBN: 9780521262989

Dimensions: 216mm x 138mm x 12mm

Weight: 265g

117 pages