The cube : a window to convex and discrete geometry /

Publisher description: 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...

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Bibliographic Details

Main Author:	Zong, Chuanming
Format:	Book
Language:	English
Published:	Cambridge, UK ; New York : Cambridge University Press, 2006.
Series:	Cambridge tracts in mathematics ; 168.
Subjects:	Convex geometry. Discrete geometry.
Summary:	Publisher description: 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.