Computability of Julia Sets PDF
By:Mark Braverman,Michael Yampolsky
Published on 2009-02-08 by Springer Science & Business Media
Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. Their beauty and complexity can be fascinating. They also hold a deep mathematical content. Computational hardness of Julia sets is the main subject of this book. By definition, a computable set in the plane can be visualized on a computer screen with an arbitrarily high magnification. There are countless programs to draw Julia sets. Yet, as the authors have discovered, it is possible to constructively produce examples of quadratic polynomials, whose Julia sets are not computable. This result is striking - it says that while a dynamical system can be described numerically with an arbitrary precision, the picture of the dynamics cannot be visualized. The book summarizes the present knowledge (most of it from the authors' own work) about the computational properties of Julia sets in a self-contained way. It is accessible to experts and students with interest in theoretical computer science or dynamical systems.
This Book was ranked at 11 by Google Books for keyword mathematics about sets.
Book ID of Computability of Julia Sets's Books is oEh-tfVK_G4C, Book which was written byMark Braverman,Michael Yampolskyhave ETAG "FxDUtFuXoEY"
Book which was published by Springer Science & Business Media since 2009-02-08 have ISBNs, ISBN 13 Code is 9783540685470 and ISBN 10 Code is 3540685472
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Book which have "151 Pages" is Printed at BOOK under CategoryComputers
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