The Cube-A Window to Convex and Discrete Geometry
Format: Hardcover
ISBN13: 9780521855358
Hardcover|9780521855358
✨ Featured Offer
Brand New
$149.18
List Price: $135.00
🚚
See all 5 offers from $71.74 FREE standard delivery by: 01 Apr 2026
Overview
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.
| ISBN-13 | 9780521855358 |
|---|---|
| ISBN-10 | 0521855357 |
| Weight | 0.87 Pounds |
| Dimensions | 5.90 x 0.60 x 9.10 In |
| List Price | $135.00 |
| Edition | 1st Edition |
| Format | Hardcover |
|---|---|
| Language | English |
| Pages | 184 pages |
| Publisher | Cambridge University Press |
| Published On | 2006-02-02 |
View All Offers
Sort by:
Price
Condition
Seller
Seller Comments
Price
Used, Good
Seller details
BooksRun
Philadelphia, PA, USA
It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the...
Free delivery by: 01 Apr 2026
Used, Good
Seller details
Bonita
Santa Clarita, CA, USA
Access codes and supplements are not guaranteed with used items. May be an ex-library book.
Free delivery by: 01 Apr 2026
✨ Brand New
Seller details
Alibris
Sparks, NV, USA
Print on demand Contains: Line drawings. Cambridge Tracts in Mathematics . 6 b/w illus. Intended fo...
Free delivery by: 01 Apr 2026
Used, Like New
Seller details
GreatBookPrices-
Columbia, MD, USA
100% Money Back Guarantee. Brand New, Perfect Condition. We offer expedited shipping to all US locat...
Free delivery by: 01 Apr 2026
Brand New
Seller details
GreatBookPrices-
Columbia, MD, USA
100% Money Back Guarantee. Brand New, Perfect Condition. We offer expedited shipping to all US locat...
Free delivery by: 01 Apr 2026