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portada Results and Problems in Combinatorial Geometry
Type
Physical Book
Year
1985
Language
English
Pages
120
Format
Paperback
ISBN
0521269237
ISBN13
9780521269230
Edition No.
1

Results and Problems in Combinatorial Geometry

V. G. Boltianskii; Vladimir G. Boltjansky; Israel Gohberg (Author) · Cambridge University Press · Paperback

Results and Problems in Combinatorial Geometry - V. G. Boltianskii; Vladimir G. Boltjansky; Israel Gohberg

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Origin: Spain (Import costs included in the price)
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Synopsis "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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