Fractal Growth Phenomena 2nd Edition

Author : Tamas Vicsek
Publisher : World Scientific
Page : 528 pages
File Size : 47,9 Mb
Release : 1992-06-25
Category : Science
ISBN : 9789814506199

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Fractal Growth Phenomena (2nd Edition) by Tamas Vicsek Pdf

The investigation of phenomena involving fractals has gone through a spectacular development in the last decade. Many physical, technological and biological processes have been shown to be related to and described by objects with non-integer dimensions. The physics of far-from-equilibrium growth phenomena represents one of the most important fields in which fractal geometry is widely applied. During the last couple of years considerable experimental, numerical and theoretical information has accumulated concerning such processes.This book, written by a well-known expert in the field, summarizes the basic concepts born in the studies of fractal growth and also presents some of the most important new results for more specialized readers. It also contains 15 beautiful color plates demonstrating the richness of the geometry of fractal patterns. Accordingly, it may serve as a textbook on the geometrical aspects of fractal growth and it treats this area in sufficient depth to make it useful as a reference book. No specific mathematical knowledge is required for reading this book which is intended to give a balanced account of the field.

Author : Tamás Vicsek
Publisher : Unknown
Page : 355 pages
File Size : 43,5 Mb
Release : 1989
Category : Fractals
ISBN : 9971504227

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Fractal Growth Phenomena by Tamás Vicsek Pdf

Summarizes the basic concepts born in the studies of fractal growth as well as presents some of the more important new results for more specialized readers. May serve as a textbook on the geometrical aspects of fractal growth. Designed both for students and for more specialilzed readers.

Author : Tamás Vicsek
Publisher : Unknown
Page : 488 pages
File Size : 40,5 Mb
Release : 1991
Category : Fractals
ISBN : OCLC:969944969

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Fractal Growth Phenomena by Tamás Vicsek Pdf

Author : A.- L. Barabási,H. E. Stanley
Publisher : Cambridge University Press
Page : 392 pages
File Size : 41,9 Mb
Release : 1995-04-13
Category : Mathematics
ISBN : 0521483182

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Fractal Concepts in Surface Growth by A.- L. Barabási,H. E. Stanley Pdf

This book brings together two of the most exciting and widely studied subjects in modern physics: namely fractals and surfaces. To the community interested in the study of surfaces and interfaces, it brings the concept of fractals. To the community interested in the exciting field of fractals and their application, it demonstrates how these concepts may be used in the study of surfaces. The authors cover, in simple terms, the various methods and theories developed over the past ten years to study surface growth. They describe how one can use fractal concepts successfully to describe and predict the morphology resulting from various growth processes. Consequently, this book will appeal to physicists working in condensed matter physics and statistical mechanics, with an interest in fractals and their application. The first chapter of this important new text is available on the Cambridge Worldwide Web server: http://www.cup.cam.ac.uk/onlinepubs/Textbooks/textbookstop.html

Author : M Matsushita,Michael F Shlesinger,Tamas Vicsek
Publisher : World Scientific
Page : 658 pages
File Size : 48,8 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 : Philip M. Iannaccone,Mustafa Khokha
Publisher : CRC Press
Page : 448 pages
File Size : 42,9 Mb
Release : 1996-07-25
Category : Science
ISBN : 084937636X

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Fractal Geometry in Biological Systems by Philip M. Iannaccone,Mustafa Khokha Pdf

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.

Author : John C. Russ
Publisher : Springer Science & Business Media
Page : 313 pages
File Size : 55,9 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781489925787

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Fractal Surfaces by John C. Russ Pdf

The author integrates discussions of fractal geometry, surface modeling techniques, and applications to real world problems to provide a comprehensive, accessible overview of the field. His work will equip researchers with the basic tools for measurement and interpretation of data, stimulating more work on these problems and, perhaps, leading to an understanding of the reasons that Nature has adopted this geometry to shape much of our world.

Author : Armin Bunde,Shlomo Havlin
Publisher : Springer
Page : 317 pages
File Size : 43,9 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 : Miroslav M Novak,T G Dewey
Publisher : World Scientific
Page : 500 pages
File Size : 50,9 Mb
Release : 1997-03-29
Category : Electronic
ISBN : 9789814546065

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Fractal Frontiers: Fractals In The Natural And Applied Sciences by Miroslav M Novak,T G Dewey Pdf

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 : Clifford Reiter
Publisher : Lulu.com
Page : 257 pages
File Size : 44,5 Mb
Release : 2007
Category : Computers
ISBN : 9781430319801

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Fractals, Visualization and J by Clifford Reiter Pdf

An introduction to mathematical visualization including many fractals and using the J programming language. Designed for classroom use or individual learning. J is freely available and no prior experience with J is required. Experiments are hands on explorations that readers can duplicate. Topics include fractals, time series, iterated function systems, chaos and symmetry, cellular automata, complex dynamics, image processing, ray tracing and Open GL.

Author : Donald L. Turcotte
Publisher : Cambridge University Press
Page : 424 pages
File Size : 49,9 Mb
Release : 1997-07-13
Category : Mathematics
ISBN : 0521567335

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Fractals and Chaos in Geology and Geophysics by Donald L. Turcotte Pdf

The fundamental concepts of fractal geometry and chaotic dynamics, along with the related concepts of multifractals, self-similar time series, wavelets, and self-organized criticality, are introduced in this book, for a broad range of readers interested in complex natural phenomena. Now in a greatly expanded, second edition, this book relates fractals and chaos to a variety of geological and geophysical applications. All concepts are introduced at the lowest possible level of mathematics consistent with their understanding, so that the reader requires only a background in basic physics and mathematics.

Author : Michael Frame,Amelia Urry
Publisher : Yale University Press
Page : 536 pages
File Size : 49,8 Mb
Release : 2016-06-21
Category : Mathematics
ISBN : 9780300220704

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Fractal Worlds by Michael Frame,Amelia Urry Pdf

Fractal geometry is a uniquely fascinating area of mathematics, exhibited in a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range. In this essential primer, mathematician Michael Frame—a close collaborator with Benoit Mandelbrot, the founder of fractal geometry—and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology. Frame and Urry offer new insights into such familiar topics as measuring fractal complexity by dimension and the life and work of Mandelbrot. In addition, they delve into less-known areas: fractals with memory, the Mandelbrot set in four dimensions, fractals in literature, and more. An inviting introduction to an enthralling subject, this comprehensive volume is ideal for learning and teaching.

Author : Loucas G. Christophorou,D.R. James
Publisher : Springer Science & Business Media
Page : 669 pages
File Size : 51,6 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781489912954

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Gaseous Dielectrics VII by Loucas G. Christophorou,D.R. James Pdf

The Seventh International Symposium on Gaseous Dielectrics was held in Knoxville, Tennessee, U. S. A. , on April 24-28, 1994. The symposium continued the interdisciplinary character and comprehensive approach of the preceding six symposia. Gaseous DielecIries VII is a detailed record of the symposium proceedings. It covers recent advances and developments in a wide range of basic, applied and industrial areas of gaseous dielectrics. It is hoped that Gaseous DielecIries VII will aid future research and development in, and encourage wider industrial use of, gaseous dielectrics. The Organizing Committee of the Seventh International Symposium on Gaseous Dielectrics consisted of G. Addis (U. S. A. ), L. G. Christophorou (U. S. A. ), F. Y. Chu (Canada), A. H. Cookson (U. S. A. ), O. Farish (U. K. ), I. Gallimberti (Italy) , A. Garscadden (U. S. A. ), D. R. James (U. S. A. ), E. Marode (France), T. Nitta (Japan), W. Pfeiffer (Germany), Y. Qiu (China), I. Sauers (U. S. A. ), R. J. Van Brunt (U. S. A. ), and W. Zaengl (Switzerland). The local arrangements committee consisted of members of the Health Sciences Research Division and personnel of the Conference Office of the Oak Ridge National Laboratory, and staff of the University of Tennessee (UTK). The contributions of each member of these committees, the work of the Session Chairmen, the interest of the participants, and the advice of innumerable colleagues are gratefully acknowledged. I am especially indebted to Dr. Isidor Sauers, Dr. David R. James, Mrs.

Author : Kenneth Falconer
Publisher : John Wiley & Sons
Page : 404 pages
File Size : 42,9 Mb
Release : 2014-02-03
Category : Mathematics
ISBN : 9781119942399

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Fractal Geometry by Kenneth Falconer Pdf

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)

Author : Armin Bunde,Shlomo Havlin
Publisher : Springer Science & Business Media
Page : 428 pages
File Size : 48,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642848681

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Fractals and Disordered Systems by Armin Bunde,Shlomo Havlin Pdf

Fractals and disordered systems have recently become the focus of intense interest in research. This book discusses in great detail the effects of disorder on mesoscopic scales (fractures, aggregates, colloids, surfaces and interfaces, glasses and polymers) and presents tools to describe them in mathematical language. A substantial part is devoted to the development of scaling theories based on fractal concepts. In ten chapters written by leading experts in the field, the reader is introduced to basic concepts and techniques in disordered systems and is led to the forefront of current research. This second edition has been substantially revised and updates the literature in this important field.