The Cube-A Window to Convex and Discrete Geometry

by Chuanming Zong

Eight topics about the unit cubes are introduced within this textbook: cross sections, projections, inscribed simplices, triangulations, 0/1 polytopes, Minkowski's conjecture, Furtwangler's conjecture, and Keller's 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...

• Format: Hardcover
• Language: English
• ISBN: 0521855357
• ISBN13: 9780521855358
• Release Date: February 2006
• Publisher: Cambridge University Press
• Length: 184 Pages
• Weight: 0.87 lbs.
• Dimensions: 0.6" x 6.0" x 9.3"