The Cube: A Window to Convex and Discrete Geometry Chuanming Zong

ISBN: 9780521855358

Published: February 20th 2006

Hardcover

174 pages


Description

The Cube: A Window to Convex and Discrete Geometry  by  Chuanming Zong

The Cube: A Window to Convex and Discrete Geometry by Chuanming Zong
February 20th 2006 | Hardcover | PDF, EPUB, FB2, DjVu, audiobook, mp3, ZIP | 174 pages | ISBN: 9780521855358 | 4.54 Mb

Eight topics about the unit cubes are introduced within this textbook: cross sections, projections, inscribed simplices, triangulations, 0/1 polytopes, Minkowskis conjecture, Furtwanglers conjecture, and Kellers conjecture. In particular ChuanmingMoreEight topics about the unit cubes are introduced within this textbook: cross sections, projections, inscribed simplices, triangulations, 0/1 polytopes, Minkowskis conjecture, Furtwanglers conjecture, and Kellers conjecture.

In particular Chuanming Zong demonstrates how deep analysis like log concave measure and the Brascamp-Lieb inequality can deal with the cross section problem, how Hyperbolic Geometry helps with the triangulation problem, how group rings can deal with Minkowskis conjecture and Furtwanglers conjecture, and how Graph Theory handles Kellers conjecture.



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