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Braverman, Mark L.; Yampolsky, Michael - Computability of Julia Sets - 9783642088063 - V9783642088063
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Computability of Julia Sets

€ 63.90
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Description for Computability of Julia Sets paperback. Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. This accessible book summarizes the present knowledge about the computational properties of Julia sets in a self-contained way. Series: Algorithms and Computation in Mathematics. Num Pages: 164 pages, biography. BIC Classification: PBF; PBKS; UMB; UYA. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 9. Weight in Grams: 266.

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 ... Read more

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.

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Product Details

Format
Paperback
Publication date
2010
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
164
Condition
New
Series
Algorithms and Computation in Mathematics
Number of Pages
151
Place of Publication
Berlin, Germany
ISBN
9783642088063
SKU
V9783642088063
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

About Braverman, Mark L.; Yampolsky, Michael
M. Braverman is an expert in Theoretical Computer Science, particularly in applications of computability to Complex Analysis and Dynamical Systems M. Yampolsky is an expert in Dynamical Systems, particularly in Holomorphic Dynamics and Renormalization Theory

Reviews for Computability of Julia Sets
From the reviews: “The study of dynamical systems has at its core … a very computational feel. … One can feel the book trying to be self-contained … . The subject of the book is timely and important. … The questions posed and answered in the present book are natural and the approach well-suited to produce enlightening results. … ... Read more

Goodreads reviews for Computability of Julia Sets


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