The Cube-A Window to Convex and Discrete Geometry
(Book #168 in the Cambridge Tracts in Mathematics Series)
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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.
Format:Hardcover
Language:English
ISBN:0521855357
ISBN13:9780521855358
Release Date:February 2006
Publisher:Cambridge University Press
Length:184 Pages
Weight:0.84 lbs.
Dimensions:0.6" x 5.9" x 9.1"
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