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The groundbreaking documentary accompanying this book (visit extras.springer.com) is presented by Arthur C Clarke with music by David Gilmour of Pink Floyd. Introduced fifteen years ago, this brought the subject of fractals to the attention of the general public for the first time; since then it has been shown in over fifty countries around the world. Contributors to the film are joined by other leading experts in this latest edition of ‘The Colours of Infinity’, a comprehensive survey of fractal theory and practice. Incorporating an additional chapter on the money markets by the fractal master himself, Professor Benoit Mandelbrot, the documentary has also been re-mastered providing stunning new fractal animations. A must read for anyone with an interest in the ‘beauty and power of fractals’.

Fractals. --- Fractals --- Mandelbrot sets --- Physical Sciences & Mathematics --- Mathematics --- Sciences - General --- Geometry --- Geometry. --- Mandelbrot sets. --- Mathematical models. --- Models, Mathematical --- Molecules, Mu --- Mu molecules --- Sets, Mandelbrot --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Popular works. --- Mathematics. --- Complexity, Computational. --- Popular Science. --- Popular Science in Mathematics. --- Complexity. --- Euclid's Elements --- Simulation methods --- Dimension theory (Topology) --- Engineering. --- Construction --- Industrial arts --- Technology --- Computational complexity. --- Complexity, Computational --- Electronic data processing --- Machine theory --- Math --- Science

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The groundbreaking documentary accompanying this book (visit extras.springer.com) is presented by Arthur C Clarke with music by David Gilmour of Pink Floyd. Introduced fifteen years ago, this brought the subject of fractals to the attention of the general public for the first time; since then it has been shown in over fifty countries around the world. Contributors to the film are joined by other leading experts in this latest edition of ˜The Colours of Infinity', a comprehensive survey of fractal theory and practice. Incorporating an additional chapter on the money markets by the fractal master himself, Professor Benoit Mandelbrot, the documentary has also been re-mastered providing stunning new fractal animations. A must read for anyone with an interest in the ˜beauty and power of fractals'.

Science --- Geometry --- Mathematics --- Computer science --- Computer. Automation --- complexiteit --- wetenschap --- informatica --- wiskunde --- geometrie

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"Apparues au XIXe siècle, les fractales furent considérées comme des curiosités mathématiques jusqu'au milieu du XXe siècle. Pourtant, nous pouvons voir des fractales partout... Cette géométrie est une extension de la géométrie classique qui peut faire des modèles précis de structures physiques comme des fougères ou des galaxies. La géométrie fractale est une nouvelle langue. Une fois que vous la parlez, vous pouvez décrire la forme d'un nuage aussi précisément qu'un architecte peut décrire une maison. Ce petit ouvrage retrace l'évolution historique de cette discipline mathématique, explore ses pouvoirs descriptifs dans la [sic] monde naturel, puis se penche sur les applications et les implications qu'elle a induites." [Quatrième de couverture]

Fractals. --- Fractales.