Research Problems in Discrete Geometry / by Peter Brass, William O. J. Moser, János Pach
| データ種別 | 電子ブック |
|---|---|
| 出版者 | New York, NY : Springer New York |
| 出版年 | 2005 |
| 本文言語 | 英語 |
| 大きさ | XII, 500 p. 116 illus : online resource |
書誌詳細を非表示
| 内容注記 | Definitions and Notations Density Problems for Packings and Coverings Structural Packing and Covering Problems Packing and Covering with Homothetic Copies Tiling Problems Distance Problems Problems on Repeated Subconfigurations Incidence and Arrangement Problems Problems on Points in General Position Graph Drawings and Geometric Graphs Lattice Point Problems Geometric Inequalities |
|---|---|
| 一般注記 | Although discrete geometry has a rich history extending more than 150 years, it abounds in open problems that even a high-school student can understand and appreciate. Some of these problems are notoriously difficult and are intimately related to deep questions in other fields of mathematics. But many problems, even old ones, can be solved by a clever undergraduate or a high-school student equipped with an ingenious idea and the kinds of skills used in a mathematical olympiad. Research Problems in Discrete Geometry is the result of a 25-year-old project initiated by the late Leo Moser. It is a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research. Important features include: * More than 500 open problems, some old, others new and never before published; * Each chapter divided into self-contained sections, each section ending with an extensive bibliography; * A great selection of research problems for graduate students looking for a dissertation topic; * A comprehensive survey of discrete geometry, highlighting the frontiers and future of research; * More than 120 figures; * A preface to an earlier version written by the late Paul Erdos. Peter Brass is Associate Professor of Computer Science at the City College of New York. William O. J. Moser is Professor Emeritus at McGill University. Janos Pach is Distinguished Professor at The City College of New York, Research Professor at the Courant Institute, NYU, and Senior Research Fellow at the Rényi Institute, Budapest |
| 著者標目 | *Brass, Peter author Moser, William O. J. author Pach, János author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Convex geometry LCSH:Discrete geometry FREE:Mathematics FREE:Convex and Discrete Geometry |
| 分 類 | DC23:516.1 |
| 巻冊次 | ISBN:9780387299297 
|
| ISBN | 9780387299297 |
| URL | http://dx.doi.org/10.1007/0-387-29929-7 |
目次／あらすじ
類似資料
この資料を見た人はこんな資料も見ています
この資料の利用統計
このページへのアクセス回数：3回
※2021年9月12日以降