Measure, Topology, and Fractal Geometry

Gebonden Engels 2007 2e druk 9780387747484
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Samenvatting

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.

Specificaties

ISBN13:9780387747484
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:272
Uitgever:Springer New York
Druk:2

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Inhoudsopgave

Fractal Examples.- Metric Topology.- Topological Dimension.- Self-Similarity.- Measure Theory.- Fractal Dimension.- Additional Topics.

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        Measure, Topology, and Fractal Geometry