The Cube - A Window to Convex and Discrete Geometry

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Mathematics - Geometry and Topology
The Cube - A Window to Convex and...

The Cube - A Window to Convex and Discrete Geometry

Name: The Cube - A Window to Convex and Discrete Geometry
ISBN: 9780521855358

Chuanming Zong

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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.

种类:

Mathematics - Geometry and Topology

年:

2006

出版社:

Cambridge University Press

语言:

english

页:

186

ISBN 10:

0521855357