Results and Problems in Combinatorial Geometry

Boltjansky Vladimir G. Gohberg Israel Boltianskii V. G.

ISBN 10: 0521269237 / ISBN 13: 9780521269230

Published by Cambridge University Press, 1985

About this Item

Print on Demand pp. 120 1:B&W 5.5 x 8.5 in or 216 x 140 mm (Demy 8vo) Perfect Bound on Creme w/Gloss Lam.

Seller Inventory # 8386891

Bibliographic Details

• Title: Results and Problems in Combinatorial Geometry
• Publisher: Cambridge University Press
• Publication Date: 1985
• Language: English
• ISBN 10: 0521269237
• ISBN 13: 9780521269230
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.

Book Description

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.