Fractals Everywhere
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Fractals Everywhere
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Author : Michael F. Barnsley
language : en
Publisher: Courier Corporation
Release Date : 2012
Fractals Everywhere written by Michael F. Barnsley and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
Focusing on how fractal geometry can be used to model real objects in the physical world, this up-to-date edition features two 16-page full-color inserts, problems and tools emphasizing fractal applications, and an answers section. A bonus CD of an IFS Generator provides an excellent software tool for designing iterated function systems codes and fractal images.
Fractals Everywhere
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Author : Michael F. Barnsley
language : en
Publisher: Morgan Kaufmann
Release Date : 1993
Fractals Everywhere written by Michael F. Barnsley and has been published by Morgan Kaufmann this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Computers categories.
This volume is the second edition of the highly successful Fractals Everywhere. The Focus of this text is how fractal geometry can be used to model real objects in the physical world. This edition of Fractals Everywhere is the most up-to-date fractal textbook available today. Fractals Everywhere may be supplemented by Michael F. Barnsley's Desktop Fractal Design System (version 2.0) with IBM for Macintosh software. The Desktop Fractal Design System 2.0 is a tool for designing Iterated Function Systems codes and fractal images, and makes an excellent supplement to a course on fractal geometry * A new chapter on recurrent iterated function systems, including vector recurrent iterated function systems. * Problems and tools emphasizing fractal applciations. * An all-new answer key to problems in the text, with solutions and hints.
Fractals Everywhere
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Author : Michael F. Barnsley
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Fractals Everywhere written by Michael F. Barnsley and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Fractals Everywhere, Second Edition covers the fundamental approach to fractal geometry through iterated function systems. This 10-chapter text is based on a course called "Fractal Geometry", which has been taught in the School of Mathematics at the Georgia Institute of Technology. After a brief introduction to the subject, this book goes on dealing with the concepts and principles of spaces, contraction mappings, fractal construction, and the chaotic dynamics on fractals. Other chapters discuss fractal dimension and interpolation, the Julia sets, parameter spaces, and the Mandelbrot sets. The remaining chapters examine the measures on fractals and the practical application of recurrent iterated function systems. This book will prove useful to both undergraduate and graduate students from many disciplines, including mathematics, biology, chemistry, physics, psychology, mechanical, electrical, and aerospace engineering, computer science, and geophysical science.
Superfractals
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Author : Michael Fielding Barnsley
language : en
Publisher: Cambridge University Press
Release Date : 2006-09-07
Superfractals written by Michael Fielding Barnsley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-07 with Computers categories.
SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.
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.
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.
The Pattern Book
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Author : Clifford A. Pickover
language : en
Publisher: World Scientific
Release Date : 1995
The Pattern Book written by Clifford A. Pickover and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Computers categories.
Although the patterns are computer-generated, the book is informal and emphasis is on the fun that the true pattern lover finds in doing rather than in reading about the doing.
Fractal Physiology
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Author : James B Bassingthwaighte
language : en
Publisher: Springer
Release Date : 2013-05-27
Fractal Physiology written by James B Bassingthwaighte and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-27 with Science categories.
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.
Fractals In Probability And Analysis
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Author : Christopher J. Bishop
language : en
Publisher: Cambridge University Press
Release Date : 2017
Fractals In Probability And Analysis written by Christopher J. Bishop and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Mathematics categories.
A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.
Fractals And Chaos
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Author : Benoit Mandelbrot
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Fractals And Chaos written by Benoit Mandelbrot and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
It has only been a couple of decades since Benoit Mandelbrot published his famous picture of what is now called the Mandelbrot set. That picture, now seeming graphically primitive, has changed our view of the mathematical and physical universe. The properties and circumstances of the discovery of the Mandelbrot Set continue to generate much interest in the research community and beyond. This book contains the hard-to-obtain original papers, many unpublished illustrations dating back to 1979 and extensive documented historical context showing how Mandelbrot helped change our way of looking at the world.