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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Introduction to Fractals
verfasst von : Christoph Bandt
Erschienen in: Fractals, Wavelets, and their Applications
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Abstract
This non-technical introduction tries to place fractal geometry into the development of contemporary mathematics. Fractals were introduced by Mandelbrot to model irregular phenomena in nature. Many of them were known before as mathematical counterexamples. The essential model assumption is self-similarity which makes it possible to describe fractals by parameters which are called dimensions or exponents. Most fractals are constructed from dynamical systems. Measures and probability theory play an important part in the study of fractals.