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Preface ; 1. The fractal concept ; 2. Self-similarity ; 3. Fractal dimension ; 4. Julia sets and the Mandelbrot set ; 5. Random walks and Brownian motion ; 6. Fractals in the real world ; 7. A little history ; Further reading
Kenneth Falconer is Professor of Pure Mathematics at St Andrews University. He has published many papers on fractal geometry, and three books on the topic, including Fractal Geometry: Mathematical Foundations and Applications (Wiley-Blackwell).
[A] very well-written introduction to fractals for non-specialists ... Highly recommended. * CHOICE * a most enjoyable, 'short read' * Institute of Mathematics * Fractals: A Very Short Introduction is an obvious starting point for lay readers interested in fractals. It presents the key ideas and explains their context and significance, while introducing and using some very basic mathematics. * Danny Yee's Book Reviews *