Future Of Fractals
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Author | : Sasuke Miyazima |
Publisher | : World Scientific |
Total Pages | : 378 |
Release | : 1997-07-01 |
Genre | : |
ISBN | : 9814548073 |
The topics covered in this volume include formation of fractal structures (kinetics of aggregation and gelation, depositions, cluster growth, chemical reactions, fractures, self-organized criticality, etc.) physical properties of fractals (transport, vibrations, magnetism, etc.), and especially applications of fractal concepts in materials science, geosciences, biological sciences and order fields.
Author | : S. Miyazima |
Publisher | : World Scientific Publishing Company Incorporated |
Total Pages | : 366 |
Release | : 1997 |
Genre | : Fractals |
ISBN | : 9789810225704 |
Author | : Clifford A. Pickover |
Publisher | : Palgrave Macmillan |
Total Pages | : 355 |
Release | : 1996 |
Genre | : Computers |
ISBN | : 9780312125998 |
Fractal Horizons is a practical guide to exploring the inexhaustible reservoir of magnificent shapes, images, and ideas associated with fractals. From art poster designs to educational tools, computer-generated fractal patterns' usage is booming. Fractal Horizons gives an account of the state of the art and speculates on advances in the future. Contributors explore the challenges of using fractals in education, art, music, fashion, chess, medicine, and more. Filled with beautiful images, an intriguing array of artistic and scientific topics, and computer/mathematical recipes, the book will appeal to anyone fascinated by unusual ideas and optically provocative art.
Author | : L. Pietronero |
Publisher | : Elsevier |
Total Pages | : 489 |
Release | : 2012-12-02 |
Genre | : Science |
ISBN | : 0444598413 |
Author | : Gabriele A. Losa |
Publisher | : Springer Science & Business Media |
Total Pages | : 382 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : 9783764364748 |
In March 2000 leading scientists gathered at the Centro Seminariale Monte Verità, Ascona, Switzerland, for the Third International Symposium on "Fractals 2000 in Biology and Medicine". This interdisciplinary conference provided stimulating contributions from the very topical field Fractals in Biology and Medicine. This volume highlights the growing power and efficacy of the fractal geometry in understanding how to analyze living phenomena and complex shapes.
Author | : C.A. Pickover |
Publisher | : Elsevier |
Total Pages | : 469 |
Release | : 1998-08-03 |
Genre | : Mathematics |
ISBN | : 0080528864 |
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.
Author | : M Matsushita |
Publisher | : World Scientific |
Total Pages | : 658 |
Release | : 1994-10-26 |
Genre | : Science |
ISBN | : 9814596809 |
During the last couple of years, fractals have been shown to represent the common aspects of many complex processes occurring in an unusually diverse range of fields including biology, chemistry, earth sciences, physics and technology. Using fractal geometry as a language, it has become possible to get a deeper insight into previously intractable problems. Among many others, a better understanding of growth phenomena, turbulence, iteractive functions, colloidal aggregation, biological pattern formation and inhomogenous materials has emerged through the application of such concepts as scale invariance, self-affinity and multifractality.This volume contains a selection of high quality papers that discuss the latest developments in the research of fractals. It is divided into 5 sections and contains altogether 64 papers. Each paper is written by a well known author or authors in the field. Beginning each section is a short introduction, written by a prominent author, which gives a brief overview of the topics discussed in the respective sections.
Author | : C.C. Barton |
Publisher | : Springer Science & Business Media |
Total Pages | : 277 |
Release | : 2013-06-29 |
Genre | : Technology & Engineering |
ISBN | : 1489913971 |
Fractals have changed the way we understand and study nature. This change has been brought about mainly by the work of B. B. Mandelbrot and his book The Fractal Geometry of Nature. Now here is a book that collects articles treating fractals in the earth sciences. The themes chosen span, as is appropriate for a discourse on fractals, many orders of magnitude; including earthquakes, ocean floor topography, fractures, faults, mineral crystallinity, gold and silver deposition. There are also chapters on dynamical processes that are fractal, such as rivers, earthquakes, and a paper on self-organized criticality. Many of the chapters discuss how to estimate fractal dimensions, Hurst exponents, and other scaling exponents. This book, in a way, represents a snapshot of a field in which fractals has brought inspiration and a fresh look at familiar subjects. New ideas and attempts to quantify the world we see around us are found throughout. Many of these ideas will grow and inspire further work, others will be superseded by new observations and insights, most probably with future contributions by the authors of these chapters.
Author | : James B Bassingthwaighte |
Publisher | : Springer |
Total Pages | : 371 |
Release | : 2013-05-27 |
Genre | : Medical |
ISBN | : 1461475724 |
I know that most men, including those at ease with the problems of the greatest complexity, can seldom accept even the simplest and most obvious truth if it be such as would oblige them to admit the falsity of conclusions which they have delighted in explaining to colleagues, which they have proudly taught to others, and which they have woven, thread by thread, into the fabric of their lives. Joseph Ford quoting Tolstoy (Gleick, 1987) We are used to thinking that natural objects have a certain form and that this form is determined by a characteristic scale. If we magnify the object beyond this scale, no new features are revealed. To correctly measure the properties of the object, such as length, area, or volume, we measure it at a resolution finer than the characteristic scale of the object. We expect that the value we measure has a unique value for the object. This simple idea is the basis of the calculus, Euclidean geometry, and the theory of measurement. However, Mandelbrot (1977, 1983) brought to the world's attention that many natural objects simply do not have this preconceived form. Many of the structures in space and processes in time of living things have a very different form. Living things have structures in space and fluctuations in time that cannot be characterized by one spatial or temporal scale. They extend over many spatial or temporal scales.
Author | : Sasuke Miyazima |
Publisher | : |
Total Pages | : 378 |
Release | : 1997 |
Genre | : Fractals |
ISBN | : 9789814531405 |