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Computability of Julia Sets (Paperback, Softcover reprint of hardcover 1st ed. 2009) Loot Price: R1,442
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Computability of Julia Sets (Paperback, Softcover reprint of hardcover 1st ed. 2009): Mark L. Braverman, Michael Yampolsky
Computability of Julia Sets (Paperback, Softcover reprint of hardcover 1st ed. 2009): Mark L. Braverman, Michael Yampolsky

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Computability of Julia Sets (Paperback, Softcover reprint of hardcover 1st ed. 2009)

Mark L. Braverman, Michael Yampolsky

Series: Algorithms and Computation in Mathematics, 23

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Loot Price R1,442 Discovery Miles 14 420 | Repayment Terms: R134 pm x 12*

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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.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Algorithms and Computation in Mathematics, 23
Release date: November 2010
First published: 2009
Authors: Mark L. Braverman • Michael Yampolsky
Dimensions: 235 x 155 x 9mm (L x W x T)
Format: Paperback
Pages: 151
Edition: Softcover reprint of hardcover 1st ed. 2009
ISBN-13: 978-3-642-08806-3
Barcode: 9783642088063
Categories: Books > Computing & IT > Computer programming > Algorithms & procedures
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Books > Computing & IT > General theory of computing > Mathematical theory of computation
Books > Science & Mathematics > Mathematics > Numerical analysis
Books > Science & Mathematics > Mathematics > Algebra
Books > Science & Mathematics > Mathematics > Algebra > General
Books > Computing & IT > General theory of computing > Data structures
Books > Computing & IT > Applications of computing
Books > Computing & IT > Applications of computing > General
LSN: 3-642-08806-6

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