Fractals In The Natural And Applied Sciences
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Fractal Frontiers Fractals In The Natural And Applied Sciences
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Author : Miroslav M Novak
language : en
Publisher: World Scientific
Release Date : 1997-03-29
Fractal Frontiers Fractals In The Natural And Applied Sciences written by Miroslav M 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 1997-03-29 with categories.
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.
Fractals In The Natural And Applied Sciences
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Author : Miroslav Michal Novak
language : en
Publisher: North Holland
Release Date : 1994
Fractals In The Natural And Applied Sciences written by Miroslav Michal Novak and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
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.
Fractal Reviews In The Natural And Applied Sciences
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Author : M.M. Novak
language : en
Publisher: CRC Press
Release Date : 1995-08-01
Fractal Reviews In The Natural And Applied Sciences written by M.M. Novak and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-08-01 with Mathematics categories.
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.
Fractals In Natural Science
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Author : M Matsushita
language : en
Publisher: World Scientific
Release Date : 1994-10-26
Fractals In Natural Science written by M Matsushita and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-10-26 with Science categories.
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.
Paradigms Of Complexity Fractals And Structures In The Sciences
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Author : Miroslav M Novak
language : en
Publisher: World Scientific
Release Date : 2000-04-18
Paradigms Of Complexity Fractals And Structures In The Sciences written by Miroslav M 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 2000-04-18 with categories.
Every reader will find something of interest in this book — from superdiffusion of the ocean surface to fetal heartbeats, from solar wind to the wearing-out of tools, from radioactive contamination to texture analysis, from image rendering to neural developments. The all-pervading link connecting these disparate disciplines is the realization that a linear approach to the majority of natural processes is at best only an approximation that can frequently be downright misleading. Consequently, the rise of what is broadly called the theory of complexity has gained tremendous momentum in the last decade or two. This modern approach aims at, and frequently succeeds in, correctly explaining many natural processes.The papers in this volume are based on presentations of the sixth international conference exploring the above-mentioned issues. These conferences are now regular and well established among the nonlinear series of conferences. This conference series is organized in different geographical regions, to encourage international collaboration. Among the distinguishing features of the series is its multidisciplinary nature, which has been growing steadily.
Fractal Geometry In Biological Systems
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Author : Philip M. Iannaccone
language : en
Publisher: CRC Press
Release Date : 1996-07-25
Fractal Geometry In Biological Systems written by Philip M. Iannaccone and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-25 with Science categories.
Fractal Geometry in Biological Systems was written by the leading experts in the field of mathematics and the biological sciences together. It is intended to inform researchers in the bringing about the fundamental nature of fractals and their widespread appearance in biological systems. The chapters explain how the presence of fractal geometry can be used in an analytical way to predict outcomes in systems, to generate hypotheses, and to help design experiments. The authors make the mathematics accessible to a wide audience and do not assume prior experience in this area.
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
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.
Fractal Geometry
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Author : Kenneth Falconer
language : en
Publisher: John Wiley & Sons
Release Date : 2014-02-03
Fractal Geometry written by Kenneth Falconer and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-03 with Mathematics categories.
The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions. Interest in fractal geometry continues to grow rapidly, both as a subject that is fascinating in its own right and as a concept that is central to many areas of mathematics, science and scientific research. Since its initial publication in 1990 Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals. The book introduces and develops the general theory and applications of fractals in a way that is accessible to students and researchers from a wide range of disciplines. Fractal Geometry: Mathematical Foundations and Applications is an excellent course book for undergraduate and graduate students studying fractal geometry, with suggestions for material appropriate for a first course indicated. The book also provides an invaluable foundation and reference for researchers who encounter fractals not only in mathematics but also in other areas across physics, engineering and the applied sciences. Provides a comprehensive and accessible introduction to the mathematical theory and applications of fractals Carefully explains each topic using illustrative examples and diagrams Includes the necessary mathematical background material, along with notes and references to enable the reader to pursue individual topics Features a wide range of exercises, enabling readers to consolidate their understanding Supported by a website with solutions to exercises and additional material www.wileyeurope.com/fractal Leads onto the more advanced sequel Techniques in Fractal Geometry (also by Kenneth Falconer and available from Wiley)
Fractals In Biology And Medicine
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Author : G. Losa
language : en
Publisher: Birkhäuser
Release Date : 2013-03-11
Fractals In Biology And Medicine written by G. Losa and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-11 with Science categories.
"Fractals in Biology and Medicine, Volume 2" explores the potential of the fractal geometry in understanding how to analyse natural shapes. The volume devotes special emphasis to the complex field of human tumours.