TY  - BOOK
AU  - Bolti︠a︡nskiĭ,V.G.
AU  - Gohberg,I.
TI  - Results and problems in combinatorial geometry
SN  - 9780511569258 (ebook)
AV  - QA491 .B613 1985
U1  - 516.2/3 19
PY  - 1985///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Geometry, Solid
KW  - Convex domains
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511569258
ER  -