ENGLISH

The Cube-A Window to Convex and Discrete Geometry

By Chuanming Zong

Book information

Publisher
Cambridge University Press
Year
2006
ISBN
0521855357, 9780521855358
Open Library ID
OL7766881M
Language
english
Format
PDF
Filesize
2 MB (2267525 bytes)
Series
Cambridge Tracts in Mathematics
Pages
186\186
Time added
2011-01-06 10:13:16

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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