Fractals In Natural Sciences

Author : M. Fleischmann,D. J. Tildesley,R. C. Ball
Publisher : Princeton University Press
Page : 207 pages
File Size : 51,8 Mb
Release : 2014-07-14
Category : Mathematics
ISBN : 9781400861040

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Fractals in the Natural Sciences by M. Fleischmann,D. J. Tildesley,R. C. Ball Pdf

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 : Tamás Vicsek,Michael F. Shlesinger,Mitsugu Matsushita
Publisher : World Scientific Publishing Company Incorporated
Page : 644 pages
File Size : 55,5 Mb
Release : 1994
Category : Science
ISBN : 9810216246

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Fractals in Natural Sciences by Tamás Vicsek,Michael F. Shlesinger,Mitsugu Matsushita Pdf

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 : Harold M. Hastings,G. Sugihara
Publisher : OUP Oxford
Page : 256 pages
File Size : 43,9 Mb
Release : 1993
Category : Fractales
ISBN : UCSD:31822016456931

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Fractals by Harold M. Hastings,G. Sugihara Pdf

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 formalityof many papers in mathematics and the informality of picture-oriented books on fractals. It is both a logically developed text and a `fractals for users' handbook.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 toillustrative applications spanning the natural sciences: the developmental biology of neurons and pancreatic islets; fluctuations of bird populations; patterns in vegetative ecosystems; and even earthquake models. The final section provides a toolbox of user-ready programs. This volume is anessential resource for all natural scientists interested in working with fractals.

Author : Armin Bunde,Shlomo Havlin
Publisher : Springer
Page : 317 pages
File Size : 41,5 Mb
Release : 2013-12-21
Category : Science
ISBN : 9783642779534

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Fractals in Science by Armin Bunde,Shlomo Havlin Pdf

A deeply detailed discussion of fractals in biology, heterogeneous chemistry, polymers, and the earth sciences. Beginning with a general introduction to fractal geometry it continues with eight chapters on self-organized criticality, rough surfaces and interfaces, random walks, chemical reactions, and fractals in chemisty, biology, and medicine. A special chapter entitled "Computer Exploration of Fractals, Chaos, and Cooperativity" presents computer demonstrations of fractal models: 14 programs are included on a 3 1/2" MS-DOS diskette which run on any PC with at least 1 MB RAM and a EGA or VGA graphics card, 16 colors.

Author : M Matsushita,Michael F Shlesinger,Tamas Vicsek
Publisher : World Scientific
Page : 658 pages
File Size : 43,5 Mb
Release : 1994-10-26
Category : Science
ISBN : 9789814596800

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Fractals In Natural Science by M Matsushita,Michael F Shlesinger,Tamas Vicsek Pdf

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,M. Fleischmann,D. J. Tildesley
Publisher : Unknown
Page : 128 pages
File Size : 47,5 Mb
Release : 2014
Category : MATHEMATICS
ISBN : OCLC:1248695319

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Fractals in the Natural Sciences by R. C. Ball,M. Fleischmann,D. J. Tildesley Pdf

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 : Heinz-Otto Peitgen,Dietmar Saupe
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461237846

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The Science of Fractal Images by Heinz-Otto Peitgen,Dietmar Saupe Pdf

This book is based on notes for the course Fractals:lntroduction, Basics and Perspectives given by MichaelF. Barnsley, RobertL. Devaney, Heinz-Otto Peit gen, Dietmar Saupe and Richard F. Voss. The course was chaired by Heinz-Otto Peitgen and was part of the SIGGRAPH '87 (Anaheim, California) course pro gram. Though the five chapters of this book have emerged from those courses we have tried to make this book a coherent and uniformly styled presentation as much as possible. It is the first book which discusses fractals solely from the point of view of computer graphics. Though fundamental concepts and algo rithms are not introduced and discussed in mathematical rigor we have made a serious attempt to justify and motivate wherever it appeared to be desirable. Ba sic algorithms are typically presented in pseudo-code or a description so close to code that a reader who is familiar with elementary computer graphics should find no problem to get started. Mandelbrot's fractal geometry provides both a description and a mathemat ical model for many of the seemingly complex forms and patterns in nature and the sciences. Fractals have blossomed enormously in the past few years and have helped reconnect pure mathematics research with both natural sciences and computing. Computer graphics has played an essential role both in its de velopment and rapidly growing popularity. Conversely, fractal geometry now plays an important role in the rendering, modelling and animation of natural phenomena and fantastic shapes in computer graphics.

Author : C.C. Barton,P.R. La Pointe
Publisher : Springer Science & Business Media
Page : 277 pages
File Size : 47,8 Mb
Release : 2013-06-29
Category : Technology & Engineering
ISBN : 9781489913975

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Fractals in the Earth Sciences by C.C. Barton,P.R. La Pointe Pdf

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 : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 43,7 Mb
Release : 1994
Category : Electronic
ISBN : OCLC:249218996

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Fractals in Natural Sciences ... by Anonim Pdf

Author : Didier Sornette
Publisher : Springer Science & Business Media
Page : 445 pages
File Size : 44,5 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662041741

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Critical Phenomena in Natural Sciences by Didier Sornette Pdf

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 : Hideki Takayasu
Publisher : Manchester University Press
Page : 196 pages
File Size : 52,5 Mb
Release : 1990
Category : Fractals
ISBN : 0719034345

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Fractals in the Physical Sciences by Hideki Takayasu Pdf

Author : Heinz-Otto Peitgen,Hartmut Jürgens,Dietmar Saupe
Publisher : Springer Science & Business Media
Page : 1013 pages
File Size : 45,6 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475747409

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Chaos and Fractals by Heinz-Otto Peitgen,Hartmut Jürgens,Dietmar Saupe Pdf

For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.

Author : Gabriele A. Losa,Danilo Merlini,Theo F. Nonnenmacher,Ewald R. Weibel
Publisher : Birkhäuser
Page : 354 pages
File Size : 43,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034881197

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Fractals in Biology and Medicine by Gabriele A. Losa,Danilo Merlini,Theo F. Nonnenmacher,Ewald R. Weibel Pdf

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 : Royal Society (Great Britain)
Publisher : Unknown
Page : 128 pages
File Size : 43,8 Mb
Release : 1990
Category : Electronic
ISBN : 0691085617

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Fractals in the Natural Sciences by Royal Society (Great Britain) Pdf

Author : Giorgio Franceschetti,Daniele Riccio
Publisher : Elsevier
Page : 307 pages
File Size : 43,7 Mb
Release : 2006-12-08
Category : Technology & Engineering
ISBN : 9780080469010

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Scattering, Natural Surfaces, and Fractals by Giorgio Franceschetti,Daniele Riccio Pdf

Scattering, Natural Surfaces, and Fractals provides a comprehensive overview of electromagnetic scattering from natural surfaces, ranging from the classical to the more recent (fractal) approach. As remote sensing applications become increasingly important, this text provides readers with a solid background in interpretation, classification and thematization of microwave images. The “scattering problem is discussed in detail with emphasis on its application to electromagnetic wave propagation, remote sensing, radar detection, and electromagnetic diagnostics. Natural surface and fractals complete this treatise focusing on how the fractal model represents our natural environment and other planets in our solar system, most recently as used to research the planet Venus and Titan, one of the moons of Saturn. An example of how scattering, fractals, and natural surfaces are of great importance is the following: Natural oil slicks in the ocean have been found to be fractal while man-made ones (generated by illegal washing of oil carrying ships) are not. Processing of an ocean image from space may detect the latter by means of a fractal analysis. An elegant and clear treatment of a rigorous topic with informative prose and realistic illustrations of scattering Provides readers with a solid background in interpretation, classification, and thematization of microwave images The only book available on fractal models and their application to scattering