Fractal geometry, including the wider fields of nonlinear dynamics and complexity, represented a wide phase of recent technology on the finish of the 20 th century. Penetration of the ensuing new paradigms into virtually all educational disciplines has proven the elemental statement of common formalism universal to quite a lot of human endeavors. This e-book comprises a longer article by means of B B Mandelbrot, reviewing his contribution to fractal geometry and outlining a few unsolved difficulties, with illustrations particularly of finance and physics. It covers quite a number multidisciplinary subject matters - from the biology of getting older, during the self-similar form of vegetation, photograph decompression and sunlight magnetic fields, to sound mirrored image on the street. The booklet is a treasure trove for leading edge researchers operating in fields on the topic of fractal geometry.

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