Countable Iterated Function Systems - Softcover

Secelean, Nicolae Adrian

 
9783659320309: Countable Iterated Function Systems
Softcover
ISBN 10: 3659320307 ISBN 13: 9783659320309
Verlag: LAP LAMBERT Academic Publishing, 2013

Inhaltsangabe

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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Verlag
LAP LAMBERT Academic Publishing
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
3659320307
ISBN 13 
9783659320309
Einband
Taschenbuch
Anzahl der Seiten
216
Kontakt zum Hersteller
Nicht verfügbar
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