The Iteration of Rational Functions: Complex Analytical Dynamical Systems: Vol 132 (Graduate Texts in Mathematics) - Hardcover

Beardon, A.F.

 
9783540975892: The Iteration of Rational Functions: Complex Analytical Dynamical Systems: Vol 132 (Graduate Texts in Mathematics)

Inhaltsangabe

This text offers a detailed treatment of the basic principles underpinning the theory of iteration of rational functions of a complex variable. The theory ranges from the original memoirs of Fatou and Julia to recent major results and methods from Sullivan and Shishikura, with some of these theories appearing in print for the first time. Some of the more recent theories have been informed by work done on the spectacular computer graphics of Julia sets, fractals and the Mandelbrot set. The text focuses on the specialized area of complex analytic dynamics.

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Reseña del editor

This text offers a detailed treatment of the basic principles underpinning the theory of iteration of rational functions of a complex variable. The theory ranges from the original memoirs of Fatou and Julia to recent major results and methods from Sullivan and Shishikura, with some of these theories appearing in print for the first time. Some of the more recent theories have been informed by work done on the spectacular computer graphics of Julia sets, fractals and the Mandelbrot set. The text focuses on the specialized area of complex analytic dynamics.

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Weitere beliebte Ausgaben desselben Titels

9780387951515: Iteration of Rational Functions: Complex Analytic Dynamical Systems (Graduate Texts in Mathematics, 132, Band 132)

Vorgestellte Ausgabe

ISBN 10:  0387951512 ISBN 13:  9780387951515
Verlag: Springer, 2013
Softcover