| 书目名称 | Fractals and Universal Spaces in Dimension Theory |
| 编辑 | Stephen‘Lipscomb |
| 视频video | |
| 概述 | Author includes more than 60 bw illustrations and 15 in color.Each chapter contains comments that provide historical context.This is the first time most of this material has appeared in book form.Incl |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | .Historically, for metric spaces the quest for universal spaces in dimension theory spanned approximately a century of mathematical research. The history breaks naturally into two periods - the classical (separable metric) and the modern (not-necessarily separable metric)..The classical theory is now well documented in several books. This monograph is the first book to unify the modern theory from 1960-2007. Like the classical theory, the modern theory fundamentally involves the unit interval..Unique features include:.* The use of graphics to illustrate the fractal view of these spaces;.* Lucid coverage of a range of topics including point-set topology and mapping theory, fractal geometry, and algebraic topology;.* A final chapter contains surveys and provides historical context for related research that includes other imbedding theorems, graph theory, and closed imbeddings;.* Each chapter contains a comment section that provides historical context with references that serve as a bridge to the literature..This monograph will be useful to topologists, to mathematicians working in fractal geometry, and to historians of mathematics. Being the first monograph to focus on the connection |
| 出版日期 | Book 2009 |
| 关键词 | Hilbert space; History of Mathematics; differential equation; fractal; fractal geometry; minimum; topology |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-0-387-85494-6 |
| isbn_softcover | 978-1-4419-2751-4 |
| isbn_ebook | 978-0-387-85494-6Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer-Verlag New York 2009 |
发表于 2025-3-21 16:26:21
