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 element...

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Bibliographic Details

Main Author:	Boltjanskij, Vladimir G. 1925-2019 (Author)
Format:	Electronic eBook
Language:	English
Published:	Cambridge Cambridge University Press 1985
Subjects:	Geometry, Solid Convex domains Kombinatorische Geometrie Konvexität Kombinatorik Geometrie
Online Access:	BSB01 FHN01 Volltext
Summary:	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
Item Description:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Physical Description:	1 online resource (108 pages)
ISBN:	9780511569258
DOI:	10.1017/CBO9780511569258