## Fractals and Chaos: The Mandelbrot Set and BeyondIt has only been a couple of decades since Benoit Mandelbrot published his famous picture of what is now called the Mandelbrot set. That picture, now seeming graphically primitive, has changed our view of the mathematical and physical universe. The properties and circumstances of the discovery of the Mandelbrot Set continue to generate much interest in the research community and beyond. This book contains the hard-to-obtain original papers, many unpublished illustrations dating back to 1979 and extensive documented historical context showing how Mandelbrot helped change our way of looking at the world. |

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algorithm Apollonian approximation atom attractor bifurcation boundary bounded Bourbaki called Cantor dust chaos chaotic circle clans close cluster complex numbers complex plane conjecture construction continuous converge corresponding defined denoted described distribution domain Douady dragon dynamical system example fact Fatou Fatou-Julia Figure finite fixed point fractal curve fractal dimension fractal dust fractal geometry Fuchsian function Gaston Julia Gutzwiller harmonic measure hence illustrations infinite infinity intersect interval intrinsic tiling invariant inverse island molecules iteration Julia set Klein Kleinian groups Lattes limit cycle limit points limit set linear M-set Mandelbrot set mathematicians mathematics Minkowski measure Myrberg notion observations orbit orthogonal osculating paper Peano physics Pierre Fatou Poincare properties quadratic map radius random rational real axis roughness self-inverse set self-similarity self-squared sequence shape shows Siegel disc specks structure subradical symmetry tangent theorem theory topic transform unstable fixed point yield

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Page 6 - Minnesota who joined the Thomas J. Watson Research Center of the International Business Machines Corporation after obtaining his Ph.D. at the University of California at Berkeley under the guidance of John Clarke. This work is not likely to restore "imitation...

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