Fractals In The Physical Sciences


Fractals In The Physical Sciences
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Fractals In The Physical Sciences


Fractals In The Physical Sciences
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Author : Hideki Takayasu
language : en
Publisher: Manchester University Press
Release Date : 1990

Fractals In The Physical Sciences written by Hideki Takayasu and has been published by Manchester University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Fractals categories.




Fractals In The Physical Sciences


Fractals In The Physical Sciences
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Author :
language : en
Publisher:
Release Date : 1992

Fractals In The Physical Sciences written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Fractals categories.




Fractals In The Physical Sciences


Fractals In The Physical Sciences
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Author : H. Takayasu
language : en
Publisher:
Release Date : 1992-03

Fractals In The Physical Sciences written by H. Takayasu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-03 with Fractals categories.


The theory of fractals has been used to describe complicated shapes in nature, such as clouds or trees, by introducing a new quantity called the fractal dimension. This revolutionary theory has been applied in many fields and is being compared to Newton's theory of mechanics.



Fractals In The Natural Sciences


Fractals In The Natural Sciences
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Author : M. Fleischmann
language : en
Publisher: Princeton University Press
Release Date : 2014-07-14

Fractals In The Natural Sciences written by M. Fleischmann and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Mathematics categories.


In the words of B. B. Mandelbrot's contribution to this important collection of original papers, fractal geometry is a "new geometric language, which is geared towards the study of diverse aspects of diverse objects, either mathematical or natural, that are not smooth, but rough and fragmented to the same degree at all scales." This book will be of interest to all physical and biological scientists studying these phenomena. It is based on a Royal Society discussion meeting held in 1988. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.



Fractals Physical Origin And Properties


Fractals Physical Origin And Properties
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Author : Luciano Pietronero
language : en
Publisher: Springer
Release Date : 2013-12-19

Fractals Physical Origin And Properties written by Luciano Pietronero and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-19 with Medical categories.


This volume contains the Proceedings of the Special Seminar on: FRAGTALS held from October 9-15, 1988 at the Ettore Majorana Centre for Scientific Culture, Erice (Trapani), Italy. The concepts of self-similarity and scale invariance have arisen independently in several areas. One is the study of critical properites of phase transitions; another is fractal geometry, which involves the concept of (non-integer) fractal dimension. These two areas have now come together, and their methods have extended to various fields of physics. The purpose of this Seminar was to provide an overview of the recent developments in the field. Most of the contributions are theoretical, but some experimental work is also included. Du:cing the past few years two tendencies have emerged in this field: one is to realize that many phenomena can be naturally modelled by fractal structures. So one can use this concept to define simple modele and study their physical properties. The second point of view is more microscopic and tries to answer the question: why nature gives rise to fractal structures. This implies the formulation of fractal growth modele based on physical concepts and their theoretical understanding in the same sense as the Renormalization Group method has allowed to understand the critical properties of phase transitions.



Fractals In Natural Sciences


Fractals In Natural Sciences
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Author :
language : en
Publisher:
Release Date : 1994

Fractals In Natural Sciences written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.




Thinking In Patterns


Thinking In Patterns
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Author : Benoit B. Mandelbrot
language : en
Publisher: World Scientific
Release Date : 2004

Thinking In Patterns written by Benoit B. Mandelbrot 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 Mathematics 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 OCo 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: . OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences."



Fractals Scaling And Growth Far From Equilibrium


Fractals Scaling And Growth Far From Equilibrium
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Author : Paul Meakin
language : en
Publisher: Cambridge University Press
Release Date : 1998

Fractals Scaling And Growth Far From Equilibrium written by Paul Meakin 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 1998 with Mathematics categories.


A comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.



Analysis Probability And Mathematical Physics On Fractals


Analysis Probability And Mathematical Physics On Fractals
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Author : Patricia Alonso Ruiz
language : en
Publisher: World Scientific
Release Date : 2020-02-26

Analysis Probability And Mathematical Physics On Fractals written by Patricia Alonso Ruiz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-26 with Mathematics categories.


In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautiful theory describing the interplay between analytic, geometric and probabilistic aspects of the mathematics of fractals. Using classical and abstract analytic tools developed by Cantor, Hausdorff, and Sierpinski, they have sought to address fundamental questions: How can we measure the size of a fractal set? How do waves and heat travel on irregular structures? How are analysis, geometry and stochastic processes related in the absence of Euclidean smooth structure? What new physical phenomena arise in the fractal-like settings that are ubiquitous in nature?This book introduces background and recent progress on these problems, from both established leaders in the field and early career researchers. The book gives a broad introduction to several foundational techniques in fractal mathematics, while also introducing some specific new and significant results of interest to experts, such as that waves have infinite propagation speed on fractals. It contains sufficient introductory material that it can be read by new researchers or researchers from other areas who want to learn about fractal methods and results.



Applying Fractals In Astronomy


Applying Fractals In Astronomy
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Author : Andre Heck
language : en
Publisher:
Release Date : 2014-01-15

Applying Fractals In Astronomy written by Andre Heck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.