Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th century. Penetration of the resulting new paradigms into practically all academic disciplines has confirmed the fundamental assertion of universal formalism common to a wide range of human endeavors. This book contains an extended article by B B Mandelbrot, reviewing his contribution to fractal geometry and outlining some unsolved problems, with illustrations especially of finance and physics. It covers a range of multidisciplinary topics - from the biology of aging, through the self-similar shape of plants, image decompression and solar magnetic fields, to sound reflection in the street. The book is a treasure trove for innovative researchers working in fields related to fractal geometry.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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regularization dimension, fractal interpolation surface, catenative formulas, fractal interpolation functions, orientational field, recurrence systems, fractal approximation, volar pads, local resemblance, turtle interpretation, critical fragmentation, vertical scaling factor, epidermal ridges, vortical flows, multifractal spectra, crossing tree, maxima lines, angular distribution function, dilation invariance, fault surface, correlation exponent, last phalanx, road profiles, fractal behaviour, generalized dimensions Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Caspian Sea, World Scientific, Academic Press, Moss de Oliveira, Hongquan Sun, South Bay, Cambridge University Press, Italy E-mail, Springer Verlag, Circle Limit, San Diego, Southern Oscillation, Consejo Nacional de Investigaciones, Emergent Nature, Fractal Deformation Using, Self-Similar Type, Solar Phys, Bragg's Law, Casilla de Correo, Department of Computer Science, Instituto de Investigaciones, Larry Poons, London Math, Marine Ecology Progress Series New!
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regularization dimension, fractal interpolation surface, catenative formulas, fractal interpolation functions, orientational field, recurrence systems, fractal approximation, volar pads, local resemblance, turtle interpretation, critical fragmentation, vertical scaling factor, epidermal ridges, vortical flows, multifractal spectra, crossing tree, maxima lines, angular distribution function, dilation invariance, fault surface, correlation exponent, last phalanx, road profiles, fractal behaviour, generalized dimensions Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Caspian Sea, World Scientific, Academic Press, Moss de Oliveira, Hongquan Sun, South Bay, Cambridge University Press, Italy E-mail, Springer Verlag, Circle Limit, San Diego, Southern Oscillation, Consejo Nacional de Investigaciones, Emergent Nature, Fractal Deformation Using, Self-Similar Type, Solar Phys, Bragg's Law, Casilla de Correo, Department of Computer Science, Instituto de Investigaciones, Larry Poons, London Math, Marine Ecology Progress Series New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 62
books:
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cites this book:
- The Fractal Geometry of Nature by Benoit B. Mandelbrot on 6 pages
- Geometry from Africa (Classroom Resource Materials) by Paulus Gerdes on page 179, and page 188
- Introduction To Percolation Theory by Dietrich Stauffer on page 17, and page 242
- Fractals Everywhere by Michael F. Barnsley on page 90, and page 153
- Nonlinear Dynamics of Production Systems by Günter Radons on page 78
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