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612-822-4611
The Cube-A Window to Convex and Discrete Geometry

The Cube-A Window to Convex and Discrete Geometry

Hardcover

Series: Cambridge Tracts in Mathematics, Book 168

General MathematicsGeometry

ISBN10: 0521855357
ISBN13: 9780521855358
Publisher: Cambridge
Published: Feb 2 2006
Pages: 184
Weight: 0.84
Height: 0.60 Width: 5.90 Depth: 9.10
Language: English
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.

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Geometry