Strange Phenomena in Convex and Discrete Geometry
Author | : Chuanming Zong |
Publisher | : Springer Science & Business Media |
Total Pages | : 167 |
Release | : 2012-12-06 |
ISBN-10 | : 9781461384816 |
ISBN-13 | : 1461384818 |
Rating | : 4/5 (16 Downloads) |
Download or read book Strange Phenomena in Convex and Discrete Geometry written by Chuanming Zong and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convex and discrete geometry is one of the most intuitive subjects in mathematics. One can explain many of its problems, even the most difficult - such as the sphere-packing problem (what is the densest possible arrangement of spheres in an n-dimensional space?) and the Borsuk problem (is it possible to partition any bounded set in an n-dimensional space into n+1 subsets, each of which is strictly smaller in "extent" than the full set?) - in terms that a layman can understand; and one can reasonably make conjectures about their solutions with little training in mathematics.