Fractals In Science
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Fractals In Science
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Author : Armin Bunde
language : en
Publisher: Springer
Release Date : 2013-12-21
Fractals In Science written by Armin Bunde and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-21 with Science categories.
Applying fractal geometry to science is bringing about a breakthrough in our understanding of complex systems in nature that show self-similar or self-affine features. Self-similar and self-affine processes appear everywhere in nature, in galaxies and landscapes, in earthquakes and geological cracks, in aggregates and colloids, in rough surfaces and interfaces, in glassy materials and polymers, in proteins as well as in other large molecules. Fractal structures appear also in the human body; well known examples include the lung and the vascular system. Furthermore, fractal geometry is an important tool in the analysis of phenomena as diverse as rhythms in music melodies and in the human heart beat and DNA sequences. Since the pioneering work of B.B. Mandelbrot, this interdisciplinary field has expanded very rapidly. The scientific community applying fractal concepts is very broad and ranges from astronomers, geoscientists, physicists, chemists and engineers to biologists and those engaging in medical research.
Fractals And Multifractals In Ecology And Aquatic Science
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Author : Laurent Seuront
language : en
Publisher: CRC Press
Release Date : 2009-10-12
Fractals And Multifractals In Ecology And Aquatic Science written by Laurent Seuront and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-12 with Mathematics categories.
Ecologists sometimes have a less-than-rigorous background in quantitative methods, yet research within this broad field is becoming increasingly mathematical. Written in a step-by-step fashion, Fractals and Multifractals in Ecology and Aquatic Science provides scientists with a basic understanding of fractals and multifractals and the techniques fo
The Fractal Self
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Author : John L. Culliney
language : en
Publisher: University of Hawaii Press
Release Date : 2017-07-31
The Fractal Self written by John L. Culliney and has been published by University of Hawaii Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-31 with Science categories.
Our universe, science reveals, began in utter simplicity, then evolved into burgeoning complexity. Starting with subatomic particles, dissimilar entities formed associations—binding, bonding, growing, branching, catalyzing, cooperating—as “self” joined “other” following universal laws with names such as gravity, chemical attraction, and natural selection. Ultimately life arose in a world of dynamic organic chemistry, and complexity exploded with wondrous new potential. Fast forward to human evolution, and a tension that had existed for billions of years now played out in an unprecedented arena of conscious calculation and cultural diversity. Cooperation interleaving with competition; intimacy oscillating with integrity—we dwell in a world where yin meets yang in human affairs on many levels. In The Fractal Self, John Culliney and David Jones uncover surprising intersections between science and philosophy. Connecting evidence from evolutionary science with early insights of Daoist and Buddhist thinkers, among others, they maintain that sagely behavior, envisioned in these ancient traditions, represents a pinnacle of human achievement emerging out of our evolutionary heritage. They identify an archetype, “the fractal self,” a person in any walk of life who cultivates a cooperative spirit. A fractal self is a sage in training, who joins others in common cause, leads from within, and achieves personal satisfaction in coordinating smooth performance of the group, team, or institution in which he or she is embedded. Fractal selves commonly operate with dedication and compassionate practice in the service of human society or in conserving our planet. But the competitive side of human nature is susceptible to greed and aggression. Self-aggrandizement, dictatorial power, and ego-driven enforcement of will are the goals of those following a self-serving path—individuals the authors identify as antisages. Terrorist leaders are an especially murderous breed, but aggrandizers can be found throughout business, religion, educational institutions, and governments. Humanity has reached an existential tipping point: will the horizon already in view expand with cooperative progress toward godlike emergent opportunities or contract in the thrall of corrupt oligarchs and tribal animosities? We have brought ourselves to a chaotic edge between immense promise and existential danger and are even now making our greatest choice.
Fractal Models In The Earth Sciences
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Author : Gabor Korvin
language : en
Publisher: Elsevier Publishing Company
Release Date : 1992
Fractal Models In The Earth Sciences written by Gabor Korvin and has been published by Elsevier Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
A fractal is a mathematical set or object whose form is extremely irregular and/or fragmented at all scales. So reads Mandelbrot's definition of the term which he coined and widely popularised in his famous monographs. This volume presents the first systematic summary of the fractal models that have been proposed to explain the irregular features and phenomena of the Earth -- from meandering rivers and rugged coastlines to the pore space of reservoir sandstones and the prediction of earthquakes. No previous knowledge of fractals is assumed. Connections and analogies with other fields of natural and technical sciences (physics, biology, fractography, etc.) are always pointed out. More than 300 illustrations are included, demonstrating how fractal geometry reveals astonishing similarities between natural phenomena at widely different scales. The readership for this book is wide and includes: geological scientists, oceanographers, and meteorologists involved in describing and analysing irregular spatial data; as well as applied mathematicians, physicists and computer scientists looking for new fields of research.
Wavelets And Fractals In Earth System Sciences
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Author : E. Chandrasekhar
language : en
Publisher: Taylor & Francis
Release Date : 2013-11-20
Wavelets And Fractals In Earth System Sciences written by E. Chandrasekhar and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-20 with Science categories.
The subject of wavelet analysis and fractal analysis is fast developing and has drawn a great deal of attention in varied disciplines of science and engineering. Over the past couple of decades, wavelets, multiresolution, and multifractal analyses have been formalized into a thorough mathematical framework and have found a variety of applications w
Fractals
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Author : John Briggs
language : en
Publisher:
Release Date : 2015-12-10
Fractals written by John Briggs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-10 with Juvenile Nonfiction categories.
Explains the significance and beauty of fractals using over 170 illustrations.
Chaos And Fractals
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Author : Clifford A. Pickover
language : en
Publisher: Elsevier Science Limited
Release Date : 1998
Chaos And Fractals written by Clifford A. Pickover and has been published by Elsevier Science Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Computers categories.
These days computer-generated fractal patterns are everywhere, from squiggly designs on computer art posters to illustrations in the most serious of physics journals. Interest continues to grow among scientists and, rather surprisingly, artists and designers. This book provides visual demonstrations of complicated and beautiful structures that can arise in systems, based on simple rules. It also presents papers on seemingly paradoxical combinations of randomness and structure in systems of mathematical, physical, biological, electrical, chemical, and artistic interest. Topics include: iteration, cellular automata, bifurcation maps, fractals, dynamical systems, patterns of nature created through simple rules, and aesthetic graphics drawn from the universe of mathematics and art. Chaos and Fractals is divided into six parts: Geometry and Nature; Attractors; Cellular Automata, Gaskets, and Koch Curves; Mandelbrot, Julia and Other Complex Maps; Iterated Function Systems; and Computer Art. Additionally, information on the latest practical applications of fractals and on the use of fractals in commercial products such as the antennas and reaction vessels is presented. In short, fractals are increasingly finding application in practical products where computer graphics and simulations are integral to the design process. Each of the six sections has an introduction by the editor including the latest research, references, and updates in the field. This book is enhanced with numerous color illustrations, a comprehensive index, and the many computer program examples encourage reader involvement.
Thinking In Patterns
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Author : Miroslav Michal Novak
language : en
Publisher: World Scientific
Release Date : 2004
Thinking In Patterns written by Miroslav Michal Novak and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.
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.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences
Fractal Growth Phenomena
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Author : Tam s Vicsek
language : en
Publisher: World Scientific
Release Date : 1992
Fractal Growth Phenomena written by Tam s Vicsek and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
The investigation of phenomena involving fractals has gone through a spectacular development in the last decade. Many physical, technological and biological processes have been shown to be related to and described by objects with non-integer dimensions. The physics of far-from-equilibrium growth phenomena represents one of the most important fields in which fractal geometry is widely applied. During the last couple of years considerable experimental, numerical and theoretical information has accumulated concerning such processes. This book, written by a well-known expert in the field, summarizes the basic concepts born in the studies of fractal growth and also presents some of the most important new results for more specialized readers. It also contains 15 beautiful color plates demonstrating the richness of the geometry of fractal patterns. Accordingly, it may serve as a textbook on the geometrical aspects of fractal growth and it treats this area in sufficient depth to make it useful as a reference book. No specific mathematical knowledge is required for reading this book which is intended to give a balanced account of the field.