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› Find signed collectible books: 'An Eye For Fractals: A Graphic And Photographic Essay (Studies in Nonlinearity)'
Fractional geometry posits that a natural visual complexity can arise from iteration of simple rules and simple shapes. An Eye for Fractals is a fascinating study of the converse premise: that natures complexity implies an underlying simplicity that can be traced back to fractal geometry.The book effectively integrates art with science, illustrating the natural occurrence of mathematics and geometry in lava flows, kelp beds, cloud formations and aspen groves. The book is enhanced with more than 150 photographs and drawings, including some color illustrations. An Eye for Fractals is a beautiful introduction to fractal geometry, a graphic, visual approach that should appeal to all who feel the fascination of this artful mathematics.
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› Find signed collectible books: 'The Fractal Geometry of Nature'
CONTENTS: I Introduction; II Three Classic Fractals, Tamed; III Galaxies and Eddies; IV Scaling Fractals; V Nonscaling Fractals; VI Self-Mapping Fractals; VII Randomness; VIII Stratified Random Fractals; IX Fractional Brown Fractals; X Random Tremas; Texture; XI Miscellany; XII Of Men and Ideas; List of References; Acknowledgments; Index of Selected Dimensions; Index of Names and Subjects; Update Added in the Second Printing. SYNOPSIS: Clouds are not spheres, mountains are not cones, and lightning does not travel in a straight line. The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry. To describe such shapes, Benoit Mandelbrot conceived and developed a new geometry, the geometry of fractal shapes. His work is significant to fields whose diversity is suggested by the following reviews of Fractals: Form, Chance, and Dimension (W. H. Freeman and Company, 1977): "Heartening and illuminating application of advanced mathematics to the beautiful, irregular enigmas of the world." - Marc LeBrun, Co-Evolution Quarterly, Fall, 1977; "A rarity: a picture book of sophisticated contemporary research ideas in mathematics. Here, it concerns recursively defined curves and shapes, whose dimensionality is not a whole number. Amazingly, Mandelbrot shows their relevance to practically every branch of science." - Douglas R. Hofstadter, author of Godel, Escher, Bach; "Written with daring originality . . . I like people who write for glory and not just for money." - I. J. Good, Journal of the American Statistical Association, June 1978. Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations. Whether your interests lie in nature and its shapes, in...
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› Find signed collectible books: 'Fractal Landscapes: From the Real World'
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› Find signed collectible books: 'Fractals and Chaos: The Mandelbrot Set and Beyond'
Just 23 years ago Benoit Mandelbrot published his famous picture of the Mandelbrot set, but that picture has changed our view of the mathematical and physical universe. In this text, Mandelbrot offers 25 papers from the past 25 years, many related to the famous inkblot figure. Of historical interest are some early images of this fractal object produced with a crude dot-matrix printer. The text includes some items not previously published.
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› Find signed collectible books: 'Fractals and Scaling In Finance: Discontinuity, Concentration, Risk'
Mandelbrot is world famous for his creation of the new mathematics of fractal geometry. Yet few people know that his original field of applied research was in econometrics and financial models, applying ideas of scaling and self-similarity to arrays of data generated by financial analyses. This book brings together his original papers as well as many original chapters specifically written for this book.
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› Find signed collectible books: 'Fractals: Form, Chance and Dimension'
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› Find signed collectible books: '(Mis) Behaviour of Markets'
Paperback. Pub Date :2008-11-06 Pages: 352 Language: English Publisher: Profile Books This international bestseller. which foreshadowed a market crash. explains why it could happen again if we dont act now. Fractal geometry is the mathematics of roughness: how to reduce the outline of a jagged leaf or static in a computer connection to a few simple mathematical properties. With his fractal tools. Mandelbrot has got to the bottom of how financial markets really work. He finds they have a shifting sense of time and wild behaviour that makes them volatile. dangerous - and beautiful. In his models. the complex gyrations of the FTSE 100 and exchange rates can be reduced to straightforward formulae that yield a much more accurate description of the risks involved.
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› Find signed collectible books: 'The (Mis)behaviour of Markets: A Fractal View of Risk, Ruin and Reward'
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› Find signed collectible books: 'Multifractals and 1/f Noise: Wild Self-Affinity in Physics (1963-1976)'
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› Find signed collectible books: 'Nel mondo dei frattali'
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› Find signed collectible books: 'Gli oggetti frattali'
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› Find signed collectible books: 'Les objets fractals: Forme, hasard et dimension (Nouvelle bibliotheque scientifique) (French Edition)'
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› Find signed collectible books: 'Schönes Chaos'
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