The Cube-A Window to Convex and Discrete Geometry

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 group rings can deal with Minkowski's conjecture and Furtwangler's conjecture, and how Graph Theory handles Keller's conjecture.

Author: Chuanming Zong
Publisher: Cambridge University Press
Published: 02/02/2006
Pages: 186
Binding Type: Hardcover
Weight: 0.84lbs
Size: 9.10h x 5.90w x 0.60d
ISBN: 9780521855358

About the Author
Zong, Chuanming: - Chuanming Zong is a Professor of Mathematics at Peking University.