[PDF] The Cube-A Window to Convex and Discrete Geometry (Cambridge Tracts in Mathematics)

ISBN: 0521855357

Category: Tutorial


Posted on 2017-04-13, by luongquocchinh.

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Author: Chuanming Zong | Publisher: Cambridge University Press | Category: Mathematics | Language: English | Page: 184 | ISBN: 0521855357 | ISBN13: 9780521855358 |

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.

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