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The Cube-A Window to Convex and Discrete Geometry (Cambridge Tracts in Mathematics, Series Number 168) - Hardcover
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...
Book Description
This tract has two purposes: to show what is known about the n-dimensional unit cubes and to demonstrate how Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory, can be applied to the study of them. The unit cubes, from any point of view, are among the most important and fascinating objects in an n-dimensional Euclidean space. In this Tract eight topics about the unit cubes are introduced: cross...
About the Author
Chuanming Zong is a Professor of Mathematics at Peking University.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date2006
- ISBN 10 0521855357
- ISBN 13 9780521855358
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages184
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The Cube-A Window to Convex and Discrete Geometry
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The Cube-A Window to Convex and Discrete Geometry (Cambridge Tracts in Mathematics, Series Number 168)
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The Cube-A Window to Convex and Discrete Geometry (Cambridge Tracts in Mathematics, Series Number 168)
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ISBN 10: 0521855357
ISBN 13: 9780521855358
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The Cube: A Window to Convex and Discrete Geometry (Hardcover)
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Hardcover. Condition: new. Hardcover. This tract has two purposes: to show what is known about the n-dimensional unit cubes and to demonstrate how Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory, can be applied to the study of them. The unit cubes, from any point of view, are among the most important and fascinating objects in an n-dimensional Euclidean space. However, our knowledge about them is still quite limited and many basic problems remain unsolved. In this Tract eight topics about the unit cubes are introduced: cross sections, projections, inscribed simplices, triangulations, 0/1 polytopes, Minkowski's conjecture, Furtwangler's conjecture, and Keller's conjecture. In particular the author 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521855358
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The Cube: A Window To Convex and Discrete Geometry
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The Cube-A Window to Convex and Discrete Geometry
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This tract has two purposes: to show what is known about the n-dimensional unit cubes and to demonstrate how Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory, can be applied to the study of them.Über den Autor. Seller Inventory # 446950725
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