離散幾何中的研究問題

《離散幾何中的研究問題》是2009年科學出版社出版的圖書，作者是布拉斯。

基本介紹

• 中文名：離散幾何中的研究問題
• 作者：布拉斯
• 出版社：科學出版社
• 出版時間：2007年1月
• 頁數：499 頁
• 定價：82 元
• ISBN：9787030182920

內容簡介

《離散幾何中的研究問題(影印版)》是由Leo Moser牽頭，花贊25年著成，書中包括500餘個頗具吸引力的公開問題，理解其中許多問題並不需要太多的準備知識。書中的各章很大程度上內容自含，概述了離散幾何，介紹了各個問題的歷史細節及最重要的相關結果。

目錄

0.Definitions and Notations

1.Density Problems for Packings and Goverings

1.1 Basic Questions and Defintions

1.2 The Least Econmical Convex Sets for Packing

1.3 The Least Economical Convex Sets for Covering

1.4 How Economical Are the Lattice Arrangemets?

1.5 Packing with Semidisks,and the Role of Symmetry

1.6 Packing Equal Dircles into Squares,Circles,Spheres

1.7 Packing Equal Circles of Squares in a Strip

1.8 The Densest Packing of Spheres

1.9 The Densest Packings of Specific Convex Bodies

1.10 Linking Packing and Covering Denstities

1.11 Sausage Problems and Catastrophes

2.Structural Packing and Covering Problems

2.1 Decomposition of Multiple Packings and Coverings

2.2 Solid and Saturated Packings and Reduced Coverings

2.3 Stable Packins and Coverings

2.4 Kissing and Neighborly Convex Bodies

2.5 Thin Packings with Many Neighbors

2.6 Permeability and Blocking Light Rays

3.Packing and Covering with Homothetic Copies

3.1 Potato Bay Problems

3.2 Covering a Convex Body with Its Homothetic Copies

3.3 Levi-Hadwiger Covering Problem and Illumination

3.4 Covering a Ball by Slabs

3.5 Point Trapping and Impassable Lattice Arrangements

4.Tilling Problems

5.Distance Problem

6.Problems on Repeated Subconfigurations

7.Incidence and Arrangement Problems

8.Problems on Points in Genral Positon

9.Graph Drawings and Geometric Graphs

10.Lattice Point Problems

11.Geometric Inequalities

12.Index