Articles liés à The Cube-A Window to Convex and Discrete Geometry
Synopsis
Book by Zong Chuanming
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
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.
Revue de presse
"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
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurCambridge University Press
- Date d'édition2006
- ISBN 10 0521855357
- ISBN 13 9780521855358
- ReliureRelié
- Langueanglais
- Nombre de pages184
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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 13 : 9780521855358
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The Cube-A Window to Convex and Discrete Geometry: 168 (Cambridge Tracts in Mathematics, Series Number 168)
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hardcover. Etat : Very Good. The Cube-A Window to Convex and Discrete Geometry: 168 (Cambridge Tracts in Mathematics, Series Number 168) This book is in very good condition and will be shipped within 24 hours of ordering. The cover may have some limited signs of wear but the pages are clean, intact and the spine remains undamaged. This book has clearly been well maintained and looked after thus far. Money back guarantee if you are not satisfied. See all our books here, order more than 1 book and get discounted shipping. . N° de réf. du vendeur 7719-9780521855358
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The Cube-A Window to Convex and Discrete Geometry: 168 (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 (Cambridge Tracts in Mathematics, Series Number 168)
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Cambridge University Press, 2006
ISBN 10 : 0521855357
ISBN 13 : 9780521855358
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The Cube-A Window to Convex and Discrete Geometry
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ISBN 13 : 9780521855358
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The Cube: A Window to Convex and Discrete Geometry (Hardcover)
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Hardcover. Etat : 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 our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9780521855358
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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
Neuf
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The Cube-A Window to Convex and Discrete Geometry (Cambridge Tracts in Mathematics, Series Number 168)
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Cambridge University Press, 2006
ISBN 10 : 0521855357
ISBN 13 : 9780521855358
Neuf
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hardcover. Etat : New. In shrink wrap. Looks like an interesting title! N° de réf. du vendeur Q-0521855357
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The Cube-A Window to Convex and Discrete Geometry (Cambridge Tracts in Mathematics, Series Number 168)
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Cambridge University Press, 2006
ISBN 10 : 0521855357
ISBN 13 : 9780521855358
Neuf
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The Cube-A Window to Convex and Discrete Geometry
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ISBN 13 : 9780521855358
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Gebunden. Etat : 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. N° de réf. du vendeur 446950725
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