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

Zong, Chuanming

ISBN 10: 0521855357 / ISBN 13: 9780521855358

Published by Cambridge University Press, 2006

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Bibliographic Details

• Title: The Cube-A Window to Convex and Discrete Geometry (Cambridge Tracts in Mathematics)
• Publisher: Cambridge University Press
• Publication Date: 2006
• Language: English
• ISBN 10: 0521855357
• ISBN 13: 9780521855358
• Binding: Hardcover
• Condition: Like New
• Book Type: book

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.