Countable Iterated Function Systems - Tapa blanda

Secelean, Nicolae Adrian

 
9783659320309: Countable Iterated Function Systems
Tapa blanda
ISBN 10: 3659320307 ISBN 13: 9783659320309
Editorial: LAP LAMBERT Academic Publishing, 2013

Sinopsis

Fractal Theory is certainly one of the most dynamical fields in mathematics. The most amazing thing about fractals is the variety of their applications in dynamical systems, physics, quantum mechanics, computer graphics, astronomy, biology, chemistry, medicine, telecommunications, arts and others. Iterated Function Systems (IFSs) are the main generators of fractals. In this book we provide an extension of the well-known Hutchinson-Barnsley theory of finite IFS to Countable IFS (CIFS). After a review of the basic properties of IFSs, we described the features of CIFSs related to the attractor, Hausdorff dimension, self-similarity, Hutchinson measure, fractal interpolation, continuous dependence on parameter. Some generalizations and a modern approach of IFSs and CIFSs are also investigated. This book is written in a rigorous, but accessible, self-contained manner. Several examples are given with the aim to offer a better understanding of the theory. The book is useful for mathematicians, students, researchers, postgraduates, physicians and other specialists which are interested in studying the fractals produced by an iterative process.

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Reseña del editor

Fractal Theory is certainly one of the most dynamical fields in mathematics. The most amazing thing about fractals is the variety of their applications in dynamical systems, physics, quantum mechanics, computer graphics, astronomy, biology, chemistry, medicine, telecommunications, arts and others. Iterated Function Systems (IFSs) are the main generators of fractals. In this book we provide an extension of the well-known Hutchinson-Barnsley theory of finite IFS to Countable IFS (CIFS). After a review of the basic properties of IFSs, we described the features of CIFSs related to the attractor, Hausdorff dimension, self-similarity, Hutchinson measure, fractal interpolation, continuous dependence on parameter. Some generalizations and a modern approach of IFSs and CIFSs are also investigated. This book is written in a rigorous, but accessible, self-contained manner. Several examples are given with the aim to offer a better understanding of the theory. The book is useful for mathematicians, students, researchers, postgraduates, physicians and other specialists which are interested in studying the fractals produced by an iterative process.

Biografía del autor

Dr. Nicolae Adrian Secelean has obtained his PhD degree in Fractal Theory from the Institute of Mathematics of the Romanian Academy. He is Associate Professor of Mathematics at the “Lucian Blaga” University in Sibiu, Romania. He published several scientific papers in the theory of countable iterated function systems, topology and measure theory.

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Editorial
LAP LAMBERT Academic Publishing
Año de publicación
2013
Idioma
Inglés
ISBN 10 
3659320307
ISBN 13 
9783659320309
Encuadernación
Tapa blanda
Número de páginas
216
Contacto del fabricante
no disponible
Persona responsable
no disponible