Computability of Julia Sets

AvMark Braverman,Michael Yampolsky

Inbunden, Engelska, 2008

Del i serien Algorithms and Computation in Mathematics

534 kr

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Häftad

534 kr

Beskrivning

Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. 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.

Produktinformation

Utgivningsdatum:2008-11-26
Mått:155 x 235 x 15 mm
Vikt:366 g
Format:Inbunden
Språk:Engelska
Serie:Algorithms and Computation in Mathematics
Antal sidor:151
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540685463

Utforska kategorier

Algebra inom Naturvetenskap och teknik
Programmeringsböcker inom Data och IT

Mer om författaren

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

Recensioner i media

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. ... The book is also generous ... . It has the potential to inspire considerable future work in this intriguing field." (Wesley Calvert, SIGACT News, Vol. 41 (1), 2010) "Written in an accessible way with many explications, examples and illustrations. ... this book sees the meeting of two worlds: computability theory and iteration of rational maps. It is a fruitful one ... and a share of surprises. It is also a compendium of several years of research by the authors ... together with a lot of new results. ... a nice and quick introduction to both topics, and much of it is pleasant to read ... . includes interesting discussions and presents stimulating conjectures." (Arnaud Cheritat, Foundations of Computational Mathematics, Vol. 12, 2012)

Innehållsförteckning

to Computability.- Dynamics of Rational Mappings.- First Examples.- Positive Results.- Negative Results.- Computability versus Topological Properties of Julia Sets.