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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.
- Sales Rank: #5695161 in Books
- Brand: Brand: Cambridge University Press
- Published on: 2006-02-20
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x .59" w x 5.98" l, .84 pounds
- Binding: Hardcover
- 184 pages
- Used Book in Good Condition
Review
"Because this book is a love letter to the unity of mathematics, readers can hardly but come to share Zong's undisguised enthusiasm...Highly recommended." -- Choice
About the Author
Chuanming Zong is a Professor of Mathematics at Peking University.
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