The Cube: A Window To Convex And Discrete Geometry - C. Zong
Cambridge University Press (2006)
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Convex Geometry, 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.

Product Details
LoC Classification QA639.5 .Z64 2006
Dewey 516.08
Format Relié
Cover Price 47,04 €
No. of Pages 184
Height x Width 231 x 157 mm