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Results and Problems in Combinatorial Geometry

Autor Vladimir G. Boltjansky, Israel Gohberg Traducere de B. Bollobás, A. Harris
en Limba Engleză Paperback – 9 oct 1985
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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Specificații

ISBN-13: 9780521269230
ISBN-10: 0521269237
Pagini: 120
Ilustrații: 1
Dimensiuni: 140 x 216 x 7 mm
Greutate: 0.16 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom

Cuprins

1. Partition of a set into sets of smaller diameter; 2. The covering of convex bodies with homothetic bodies and the illumination problem; 3. Some related problems.

Descriere

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