The Cube-A Window to Convex and Discrete Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Zong, Chuanming 作者

Cambridge Univ Press

译者

2006-2 出版日期

174 页数

$ 134.47 价格

HRD

Cambridge Tracts in Mathematics 丛书系列

9780521855358 图书编码

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发表于2024-07-02

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The Cube-A Window to Convex and Discrete Geometry 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

The Cube-A Window to Convex and Discrete Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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The Cube-A Window to Convex and Discrete Geometry 在线电子书图书描述

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.

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