| 书目名称 | Measure, Topology, and Fractal Geometry | | 编辑 | Gerald Edgar | | 视频video | | | 概述 | Bridges the gap between traditional books on topology/analysis and more specialized treatises on fractal geometry.Contains plenty of examples, exercises, and illustrations.Ideal for classroom use with | | 丛书名称 | Undergraduate Texts in Mathematics | | 图书封面 |  | | 描述 | .From reviews of the first edition:.."In the world of mathematics, the 1980‘s might well be described as the "decade of the fractal". Starting with Benoit Mandelbrot‘s remarkable text The Fractal Geometry of Nature, there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar‘s book is a significant addition to this deluge. Based on a course given to talented high- school students at Ohio University in 1988, it is, in fact, an advanced undergraduate textbook about the mathematics of fractal geometry, treating such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology...the book also contains many good illustrations of fractals (including 16 color plates)."..Mathematics Teaching.."The book can be recommended to students who seriously want to know about the mathematical foundation of fractals, and to lecturers who want to illustrate a standard course in metric topology by interesting examples."..Christoph Bandt, Mathematical Reviews.."...not only intended to fit mathematics students who w | | 出版日期 | Textbook 2008Latest edition | | 关键词 | Fractal; Self-similarity; fractal dimension; measure theory; similarity | | 版次 | 2 | | doi | https://doi.org/10.1007/978-0-387-74749-1 | | isbn_softcover | 978-1-4419-2569-5 | | isbn_ebook | 978-0-387-74749-1Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer-Verlag New York 2008 |
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发表于 2025-3-21 17:46:35
