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Science/Engineering Results and Problems in Combinatorial Geometry

Posted on 2010-03-16




Name:Science/Engineering Results and Problems in Combinatorial Geometry
ASIN/ISBN:0521269237
Language:English
File size:5.3 Mb
Publish Date: 2009
ISBN: 0521269237, 0521262984
Pages: 120 pages
File Type: PDF
File Size: 5,3 MB
Other Info: Cambridge University Press
   Science/Engineering Results and Problems in Combinatorial Geometry

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Vladimir G. Boltjansky, Israel Gohberg, "Results and Problems in 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. 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.

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