Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory. Series: Cambridge Tracts in Mathematics. Num Pages: 184 pages, 6 b/w illus. BIC Classification: PBM; PBP. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 15. Weight in Grams: 394. . 2006. hardcover. . . . .

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Bibliographic Details

Title: The Cube-A Window to Convex and Discrete Geometry: 168 (Cambridge Tracts in Mathematics, Series Number 168)
Publisher: Cambridge University Press
Publication Date: 2006
Language: English
ISBN 10: 0521855357
ISBN 13: 9780521855358
Binding: Hardcover
Condition: New

About this title

Synopsis

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.

About the Author

Chuanming Zong is a Professor of Mathematics at Peking University.

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