| 书目名称 | Lectures on Discrete Geometry |
| 编辑 | Jiří Matoušek |
| 视频video | |
| 概述 | Quickly leads the reader to the edge of current research.Introduces many important oncepts and techniques on carefully chosen results where technicalities are used.Book does not require any special ba |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | Discrete geometry investigates combinatorial properties of configurations of geometric objects. To a working mathematician or computer scientist, it offers sophisticated results and techniques of great diversity and it is a foundation for fields such as computational geometry or combinatorial optimization..This book is primarily a textbook introduction to various areas of discrete geometry. In each area, it explains several key results and methods, in an accessible and concrete manner. It also contains more advanced material in separate sections and thus it can serve as a collection of surveys in several narrower subfields. The main topics include: basics on convex sets, convex polytopes, and hyperplane arrangements; combinatorial complexity of geometric configurations; intersection patterns and transversals of convex sets; geometric Ramsey-type results; polyhedral combinatorics and high-dimensional convexity; and lastly, embeddings of finite metric spaces into normed spaces..Jiri Matousek is Professor of Computer Science at Charles University in Prague. His research has contributed to several of the considered areas and to their algorithmic applications. This is his third book. |
| 出版日期 | Textbook 2002 |
| 关键词 | Discrete Geometry; Dimension; discrete geometry; geometry; mathematics |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4613-0039-7 |
| isbn_softcover | 978-0-387-95374-8 |
| isbn_ebook | 978-1-4613-0039-7Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer-Verlag New York 2002 |
发表于 2025-3-21 19:18:04
