Measure, topology, and fractal geometry
著者
書誌事項
Measure, topology, and fractal geometry
（Undergraduate texts in mathematics）
Springer, [201-], c2008
2nd ed
- : [pbk.]
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注記
Includes bibliographical references (p. 257-259) and index
"Softcover reprint of the hardcover 2nd edition 2008"--T.p. verso
内容説明・目次
内容説明
Based on a course given to talented high-school students at Ohio University in 1988, this book is essentially an advanced undergraduate textbook about the mathematics of fractal geometry. It nicely bridges the gap between traditional books on topology/analysis and more specialized treatises on fractal geometry. The book treats such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. It takes into account developments in the subject matter since 1990. Sections are clear and focused. The book contains plenty of examples, exercises, and good illustrations of fractals, including 16 color plates.
目次
Fractal Examples.- Metric Topology.- Topological Dimension.- Self-Similarity.- Measure Theory.- Fractal Dimension.- Additional Topics.
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