Physics and Fractal Structures
Author : Jean-François Gouyet
Publisher : Elsevier Masson
Page : 260 pages
File Size : 47,36 MB
Release : 1996
Category : Mathematics
ISBN :
Fractals in Physics
Author : L. Pietronero
Publisher : Elsevier
Page : 489 pages
File Size : 47,38 MB
Release : 2012-12-02
Category : Science
ISBN : 0444598413
Book Description
Fractals in Physics
Fractal Concepts in Condensed Matter Physics
Author : Tsuneyoshi Nakayama
Publisher : Springer Science & Business Media
Page : 216 pages
File Size : 13,36 MB
Release : 2013-06-29
Category : Science
ISBN : 3662051931
Book Description
Concisely and clearly written by two foremost scientists, this book provides a self-contained introduction to the basic concepts of fractals and demonstrates their use in a range of topics. The authors’ unified description of different dynamic problems makes the book extremely accessible.
Fractals in Science
Author : Armin Bunde
Publisher : Springer
Page : 317 pages
File Size : 47,76 MB
Release : 2013-12-21
Category : Science
ISBN : 3642779530
Book Description
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.
Discovery of Cosmic Fractals
Author : Yurij Baryshev
Publisher : World Scientific
Page : 412 pages
File Size : 19,48 MB
Release : 2002
Category : Science
ISBN : 9789810248727
Book Description
In a simple manner, explains the frontiers of astronomy, how fractals appear in cosmic physics, offers a personal view of the history of the idea of self-similarity and of cosmological principles and presents the debate which illustrates how new concepts and deeper observations reveal unexpected aspects of Nature.
Diffusion and Reactions in Fractals and Disordered Systems
Author : Daniel ben-Avraham
Publisher : Cambridge University Press
Page : 334 pages
File Size : 46,58 MB
Release : 2000-11-02
Category : Mathematics
ISBN : 0521622786
Book Description
This book describes diffusion and transport in disordered media such as fractals and random resistor networks.
Fractal Growth Phenomena
Author : Tam s Vicsek
Publisher : World Scientific
Page : 542 pages
File Size : 31,27 MB
Release : 1992
Category : Mathematics
ISBN : 9789810206680
Book Description
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.
Fractals: A Very Short Introduction
Author : Kenneth Falconer
Publisher : OUP Oxford
Page : 153 pages
File Size : 21,47 MB
Release : 2013-09-26
Category : Mathematics
ISBN : 0191663441
Book Description
Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Fractal Analysis
Author : Fernando Brambila
Publisher : BoD – Books on Demand
Page : 296 pages
File Size : 34,76 MB
Release : 2017-06-14
Category : Mathematics
ISBN : 9535131915
Book Description
Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Let us begin with the fractional calculus-fractal geometry relationship, which allows for modeling with extreme precision of phenomena such as diffusion in porous media with fractional partial differential equations in fractal objects. Where the order of the equation is the same as the fractal dimension, this allows us to make calculations with enormous precision in diffusion phenomena-particularly in the oil industry, for new spillage prevention. Main applications to industry, design of fractal antennas to receive all frequencies and that is used in all cell phones, spacecraft, radars, image processing, measure, porosity, turbulence, scattering theory. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book: "Part I: Petroleum Industry and Numerical Analysis"; "Part II: Fractal Antennas, Spacecraft, Radars, Image Processing, and Measure"; and "Part III: Scattering Theory, Porosity, and Turbulence." It's impossible to picture today's research without fractal analysis.
Renormalization Methods
Author : Annick Lesne
Publisher : Wiley
Page : 0 pages
File Size : 13,59 MB
Release : 1998-05-08
Category : Mathematics
ISBN : 9780471966890
Book Description
Originally conceived some thirty years ago in the context ofquantum electrodynamics, renormalization methods have progressivelydeveloped into an indispensable analytical tool used in widelyvarying domains of physics and applied mathematics, such as * phase transitions and critical phenomena * dynamical systems and chaos * developed turbulence * fractal structures and complex systems * percolation * polymer physics * diffusion in disordered media * measure theory and stochastic processes. By explaining the fundamental principles of renormalization theorysuch as scale invariance and universality which lie behind all thetechnical variations, this book aims to guide the reader to a moreunified understanding of today s physics. The book is based on avery accessible main text, supplemented by several more specializedsections; it is intended for graduate students and for researcherswho are seeking an introduction to a new area of electrodynamics ora general overview of the physical phenomena to whichrenormalization methods are applied.
