Fractals In The Natural And Applied Sciences
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| Author | : M. Fleischmann |
| Publisher | : Princeton University Press |
| Total Pages | : 207 |
| Release | : 2014-07-14 |
| Genre | : Mathematics |
| ISBN | : 1400861047 |
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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.
| Author | : M.M. Novak |
| Publisher | : CRC Press |
| Total Pages | : 414 |
| Release | : 1995-08-01 |
| Genre | : Mathematics |
| ISBN | : 9780412710209 |
Download Fractal Reviews in the Natural and Applied Sciences Book in PDF, Epub and Kindle
This book contains state of the art contributions to this rapidly growing research area. It will be of essential value to mathematicians, physicists and engineers working in the fields of fractals and related phenomena and to researchers working in medicine and the life sciences.
| Author | : Miroslav Michal Novak |
| Publisher | : North Holland |
| Total Pages | : 480 |
| Release | : 1994 |
| Genre | : Mathematics |
| ISBN | : |
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Fractals are intimately related to the nonlinear processes in nature. Whereas studies of dynamics may lead to the chaotic phenomena, analysis of the underlying geometry leads to fractals. Currently, the field of fractals represents a fast developing research area.This publication contains state-of-the-art contributions exploring a spread of applications right across the disciplines, from physics and mathematics, through astronomy, biophysics, ecology and geography to image processing, medicine and turbulence. It will prove a valuable addition to the library of many a scientist interested in the field of fractals and related phenomena.
| Author | : Miroslav M Novak |
| Publisher | : World Scientific |
| Total Pages | : 500 |
| Release | : 1997-03-29 |
| Genre | : |
| ISBN | : 9814546062 |
Download Fractal Frontiers: Fractals In The Natural And Applied Sciences Book in PDF, Epub and Kindle
Historically, science has developed by reducing complex situations to simple ones, analyzing the components and synthesizing the original situation. While this 'reductionist' approach has been extremely successful, there are phenomena of such complexity that one cannot simplify them without eliminating the problem itself. Recently, attention has turned to such problems in a wide variety of fields. This is in part due to the development of fractal geometry. Fractal geometry provides the mathematical tools for handling complexity. The present volume is a collection of papers that deal with the application of fractals in both traditional scientific disciplines and in applied fields. This volume shows the advance of our understanding of complex phenomena across a spectrum of disciplines. While these diverse fields work on very different problems, fractals provide a unifying formalism for approaching these problems.
| Author | : Harold M. Hastings |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 256 |
| Release | : 1993 |
| Genre | : Language Arts & Disciplines |
| ISBN | : |
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Fractals: A User's Guide for the Natural Sciences explains Mandelbrot's fractal geometry and describes some of its applications in the natural world. Written to enable students and researchers to master the methods of this timely subject, the book steers a middle course between the formality of many papers in mathematics and the informality of picture-orientated books on fractals. It is both a logically developed text and an essential `fractals for users' handbook.
| Author | : Harold M. Hastings |
| Publisher | : |
| Total Pages | : 256 |
| Release | : 1993 |
| Genre | : Computers |
| ISBN | : |
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This insightful work explains Mandelbrot's fractal geometry and describes some of its most interesting applications. Fractal geometry exploits a characteristic property of the real world--self-similarity--to find simple rules for the assembly of complex natural objects. Beginning with the foundations of measurement in Euclidean geometry, the authors progress from analogues in the geometry of random fractals to applications spanning the natural sciences, including the developmental biology of neurons and pancreatic islets, fluctuations of bird populations, patterns in vegetative ecosystems, and even earthquake models. Written to enable students and researchers to master the methods of this timely subject, the book steers a middle course between the formality of many papers in mathematics and the informality of picture-orientated books on fractals. It is both a logically developed text and an essential "fractals for users" handbook. It is an essential resource for researchers and students in ecology, biology, applied mathematics, and plant and environmental sciences.
| Author | : Didier Sornette |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 445 |
| Release | : 2013-04-17 |
| Genre | : Science |
| ISBN | : 366204174X |
Download Critical Phenomena in Natural Sciences Book in PDF, Epub and Kindle
A modern up-to-date introduction for readers outside statistical physics. It puts emphasis on a clear understanding of concepts and methods and provides the tools that can be of immediate use in applications.
| Author | : Miroslav M. Novak |
| Publisher | : |
| Total Pages | : 380 |
| Release | : 1995 |
| Genre | : |
| ISBN | : |
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| Author | : Tamás Vicsek |
| Publisher | : World Scientific Publishing Company Incorporated |
| Total Pages | : 644 |
| Release | : 1994 |
| Genre | : Science |
| ISBN | : 9789810216245 |
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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 | : R. C. Ball |
| Publisher | : |
| Total Pages | : |
| Release | : 2014 |
| Genre | : MATHEMATICS |
| ISBN | : |
Download Fractals in the Natural Sciences Book in PDF, Epub and Kindle
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.
