The Cube-A Window to Convex and Discrete Geometry 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Zong, Chuanming 作者

Cambridge Univ Press

譯者

2006-2 出版日期

174 頁數

$ 134.47 價格

HRD

Cambridge Tracts in Mathematics 叢書系列

9780521855358 圖書編碼

The Cube-A Window to Convex and Discrete Geometry 在線電子書圖書標籤: 離散幾何數學計算機科學微分幾何7 to and Window The

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發表於2024-11-26

The Cube-A Window to Convex and Discrete Geometry 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

The Cube-A Window to Convex and Discrete Geometry 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

The Cube-A Window to Convex and Discrete Geometry 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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The Cube-A Window to Convex and Discrete Geometry 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

The Cube-A Window to Convex and Discrete Geometry 在線電子書圖書描述

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.

The Cube-A Window to Convex and Discrete Geometry 在線電子書下載 mobi epub pdf txt 在線電子書下載

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