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Cube-A Window to Convex and Discrete Geometry

Cube-A Window to Convex and Discrete Geometry - 06 edition

Cube-A Window to Convex and Discrete Geometry - 06 edition

ISBN13: 9780521855358

ISBN10: 0521855357

Cube-A Window to Convex and Discrete Geometry by Chuanming Zong - ISBN 9780521855358
Edition: 06
Copyright: 2006
Publisher: Cambridge University Press
Published: 2006
International: No
Cube-A Window to Convex and Discrete Geometry by Chuanming Zong - ISBN 9780521855358

ISBN13: 9780521855358

ISBN10: 0521855357

Edition: 06

Summary

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.

Table of Contents

Table of Contents

1 Cross sections
2 Projections
3 Inscribed simplices
4 Triangulations
5 0/1 polytopes
6 Minkowski's conjecture
7 Furtwangler's conjecture
8 Keller's conjecture

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