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Cube-A Window to Convex and Discrete Geometry

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

ISBN13: 978-0521855358

Cover of Cube-A Window to Convex and Discrete Geometry 06 (ISBN 978-0521855358)
ISBN13: 978-0521855358
ISBN10: 0521855357 Edition: 06
Copyright: 2006
Publisher: Cambridge University Press
Published: 2006
International: No

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

ISBN13: 978-0521855358

Chuanming Zong

ISBN13: 978-0521855358
ISBN10: 0521855357 Edition: 06
Copyright: 2006
Publisher: Cambridge University Press
Published: 2006
International: No
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

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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