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 past 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 colour 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 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. "Fractal Growth Software" (ISBN 981-02-0617-8) is available as a supplementary text to "Fractal Growth Phenomena" (pbk), price US$19 or at the special price of $45.00/#26.00 for the set.
--This text refers to an out of print or unavailable edition of this title.
Book Description
Editorial Reviews
From Scientific American
".... the first comprehensive book devoted entirely to the subject of fractal growth....Vicsek has succeeded in producing a classic book on growth phenomena. It is an extremely readable and useful book and I recommend it highly to anyone looking for a good place to start learning about fractals and growth phenomena in particular."
--This text refers to the
Hardcover
edition.
Review
"The book 'Fractal Growth Phenomena' by T Vicsek is a complete up-to-date introduction, documentation and reference guide to this field. The book is written in a precise and fascinating manner. The clear style allows a fast understanding of the material also for those who did not study mathematics or physics." Martin Obert Justus-Liebig-Universitat Giessen "In summary the book offers an excellent introduction to and overview of a rapidly expanding field. It will serve as both a standard reference work for those already working in the area and as a comprehensive introduction for those wishing to learn more." Murray T Batchelor Australian & New Zealand Physicist, 1995
--This text refers to an out of print or unavailable edition of this title.
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4.0 out of 5 stars
Fractals in natural sciences,
By A Customer
This review is from: Fractal Growth Phenomena (Hardcover)
Written by an author from a scientific background, this survey of the field of fractal growth starts with its appearance in carbon black deposits, and then backtracks to explain the mathematics and concepts behind fractal growth. It then goes forward again to discuss fractal growth in other naturally occuring systems.
4.0 out of 5 stars
Scientific applications focus,
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This review is from: Fractal Growth Phenomena (Paperback)
A good combination of the theory of fractals along with its application in several diverse fields, like percolation clusters. Vicsek covers the familiar geometric objects like Julia sets and Sierpinski gaskets. The book is not focused on the fancy computer graphics applications. Instead, it looks at scientific phenomena like a hierarchical network of resistors and how a distribution of voltage drops shows multifractal scaling.He gives extensive coverage of cluster growth models and how these square with various observations and simulations. Very understandable to both theorists and experimentalists. Made more useful by lengthy lists of references at the end of each chapter, to journal papers.
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Inside This Book
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First Sentence:
During the last decade it has widely been recognized by physicists working in diverse areas that many of the structures common in their experiments possess a rather special kind of geometrical complexity. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
cluster growth models, fractal pattern formation, laplacian growth, fractal geometry, small cell renormalization, single seed particle, ballistic aggregates, fractal viscous, dielectric breakdown model, spanning configurations, static percolation, randomly walking particle, local fractal dimension, fat fractals, seed configuration, ballistic aggregation, crossover scale, kinetic gelation, upper critical dimension, viscous fingers, clusters grown, stable tips, fractal measure, percolation clusters, strip geometry Key Phrases - Capitalized Phrases (CAPs): (learn more)
Cluster-cluster Aggregation, Diffusion-Limited Growth, New York, Local Growth Models, Computer Simulations, Monte Carlo, Growing Self-aline Surfaces, Colloid Interface Sci, Growing Self-affine Surfaces, Martinus Nijhoff, Physique Lett, Fractal Meaaurea, Plenum Press, San Francisco, Growing Fractals, Tangent Rule, Fractal Growth Phenomena Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
During the last decade it has widely been recognized by physicists working in diverse areas that many of the structures common in their experiments possess a rather special kind of geometrical complexity. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
cluster growth models, fractal pattern formation, laplacian growth, fractal geometry, small cell renormalization, single seed particle, ballistic aggregates, fractal viscous, dielectric breakdown model, spanning configurations, static percolation, randomly walking particle, local fractal dimension, fat fractals, seed configuration, ballistic aggregation, crossover scale, kinetic gelation, upper critical dimension, viscous fingers, clusters grown, stable tips, fractal measure, percolation clusters, strip geometry Key Phrases - Capitalized Phrases (CAPs): (learn more)
Cluster-cluster Aggregation, Diffusion-Limited Growth, New York, Local Growth Models, Computer Simulations, Monte Carlo, Growing Self-aline Surfaces, Colloid Interface Sci, Growing Self-affine Surfaces, Martinus Nijhoff, Physique Lett, Fractal Meaaurea, Plenum Press, San Francisco, Growing Fractals, Tangent Rule, Fractal Growth Phenomena Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Citations (learn more)
100
books
cite this book:
See all 100 books citing this book
- Dynamics of Fractal Surfaces by Fereydoon Family on 7 pages
- Spatio-temporal Patterns In Nonequilibrium Complex Systems (Santa Fe Institute Studies in the Sciences of Complexity, Proceedings) by Patricia E. Cladis on 5 pages
- Fractals in Molecular Biophysics (Topics in Physical Chemistry) by T. Gregory Dewey on 4 pages
- Applications of Statistical Physics by A. Gadomski on 4 pages
- Fractal Geometry in Biological Systems: An Analytical Approach by Philip M. Iannaccone on 4 pages
See all 100 books citing this book
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