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Author : Hideki Takayasu
Publisher : Manchester University Press
Page : 196 pages
File Size : 55,8 Mb
Release : 1990
Category : Fractals
ISBN : 0719034345
Author : Anonim
Publisher : Unknown
Page : 368 pages
File Size : 43,7 Mb
Release : 1992
Category : Fractals
ISBN : OCLC:497607650
Author : H. Takayasu
Publisher : Unknown
Page : 170 pages
File Size : 49,7 Mb
Release : 1992-03
Category : Fractals
ISBN : 0471935182
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.
Author : M. Fleischmann,D. J. Tildesley,R. C. Ball
Publisher : Princeton University Press
Page : 207 pages
File Size : 54,9 Mb
Release : 2014-07-14
Category : Mathematics
ISBN : 9781400861040
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 : Luciano Pietronero
Publisher : Springer
Page : 356 pages
File Size : 53,5 Mb
Release : 2013-12-19
Category : Medical
ISBN : 9781489934994
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.
Author : L. Pietronero,E. Tosatti
Publisher : Elsevier
Page : 489 pages
File Size : 51,9 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780444598417
Fractals in Physics
Author : Miroslav M Novak
Publisher : World Scientific
Page : 336 pages
File Size : 42,8 Mb
Release : 2004-03-09
Category : Science
ISBN : 9789814482844
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 — 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: • Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings) • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences Contents:Selected Topics in Mathematics, Physics, and Finance Originating in Fractal Geometry (B B Mandelbrot)Nonlinear Dynamics and Prediction of the Caspian Sea Level (N G Makarenko et al.)Self-Similarity in Plants: Integrating Mathematical and Biological Perspectives (P Prusinkiewicz)The Complexity of Biological Ageing (D Stauffer)Fractal Geometry in the Arts: An Overview Across the Different Cultures (N Sala)Binomial Multiplicative Model of Critical Fragmentation (H Katsuragi et al.)Epidermal Ridges: Positional Information Coded in an Orientational Field (M B Nguyen et al.)Fractality and Fractal Dimension in Mesoamerican Pyramid Analysis (G Burkle-Elizondo et al.)Fractals and Plant Water Use Efficiency (A Bari et al.)Need and Feasibility of Applying L-System Models in Agricultural Crop Modeling (L Pachepsky et al.)and other papers Readership: Upper level undergraduates, graduate students, academics, researchers and industrialists in nonlinear science, complex systems and general mathematics. Keywords:Fractals;Complexity;Wavelets;Fluctuations;Self-Similarity
Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 50,9 Mb
Release : 1994
Category : Electronic
ISBN : OCLC:249218996
Author : Patricia Alonso Ruiz,Joe Po-chou Chen,Luke G Rogers,Alexander Teplyaev
Publisher : World Scientific
Page : 594 pages
File Size : 43,9 Mb
Release : 2020-02-26
Category : Mathematics
ISBN : 9789811215544
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.
Author : Jens Feder
Publisher : Springer Science & Business Media
Page : 305 pages
File Size : 48,9 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781489921246
This lovely little book will take off and fly on its own power, but the author has asked me to write a few words, and one should not say no to a friend. Specific topics in fractal geometry and its applications have already benefited from several excellent surveys of moderate length, and gossip and preliminary drafts tell us that we shall soon see several monographic treatments of broader topics. For the teacher, however, these surveys and monographs are not enough, and an urgent need for more helpful books has been widely recognized. To write such a book is no easy task, but Jens Feder meets the challenge head on. His approach combines the old Viking's willingness to attack many difficulties at the same time, and the modern Norwegian's ability to achieve fine balance between diverging needs. lowe him special gratitude for presenting the main facts about R/ S analysis of long-run dependence; now a wide scientific public will have access to a large group of papers of mine that had until this day remained fairly confidential. Last but not least, we are all grateful to Jens for not having allowed undue personal modesty to deprive us of accounts of his own group's varied and excellent work. He did not attempt to say everything, but what he said is just fine. Benoit B. Mandelbrot Physics Department, IBM Thomas J.
Author : M Matsushita,Michael F Shlesinger,Tamas Vicsek
Publisher : World Scientific
Page : 658 pages
File Size : 45,5 Mb
Release : 1994-10-26
Category : Science
ISBN : 9789814596800
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 : Andre Heck,Jean M. Perdang
Publisher : Unknown
Page : 224 pages
File Size : 54,9 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662138476
Author : Bruce West,Mauro Bologna,Paolo Grigolini
Publisher : Springer Science & Business Media
Page : 355 pages
File Size : 51,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9780387217468
This text describes the statistcal behavior of complex systems and shows how the fractional calculus can be used to model the behavior. The discussion emphasizes physical phenomena whose evolution is best described using the fractional calculus, such as systems with long-range spatial interactions or long-time memory. The book gives general strategies for understanding wave propagation through random media, the nonlinear response of complex materials, and the fluctuations of heat transport in heterogeneous materials.
Author : Paul Meakin
Publisher : Cambridge University Press
Page : 700 pages
File Size : 46,8 Mb
Release : 1998
Category : Mathematics
ISBN : 0521452538
A comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.
Author : Harold M. Hastings,G. Sugihara
Publisher : Oxford University Press, USA
Page : 256 pages
File Size : 47,9 Mb
Release : 1993
Category : Language Arts & Disciplines
ISBN : UOM:39015032816228
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.