
Results and Problems in Combinatorial Geometry
Cambridge University Press
Published on 10. October 1985
Book
Paperback/Softback
120 pages
978-0-521-26923-0 (ISBN)
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. 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.
More details
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 216 mm
Width: 140 mm
Thickness: 7 mm
Weight
162 gr
ISBN-13
978-0-521-26923-0 (9780521269230)
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Schweitzer Classification
Other editions
Additional editions
Vladimir G. Boltjansky | Israel Gohberg
Results and Problems in Combinatorial Geometry
Book
10/1985
Cambridge University Press
€34.61
Article exhausted; check for reprint
Previous edition
Vladimir G. Boltjansky | Israel Gohberg
Results and Problems in Combinatorial Geometry
Book
10/1985
Cambridge University Press
€34.61
Article exhausted; check for reprint
Persons
Content
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.