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Iteration of Rational Functions

Iteration of Rational Functions

Alan F. Beardon

103,14 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2000
Materia
Medicina: cuestiones generales
ISBN:
9780387951515
103,14 €
IVA incluido
Disponible

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This book focuses on complex analytic dynamics, which dates from 1916 and is currently attracting considerable interest. The text provides a comprehensive, well-organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The coverage extends from early memoirs of Fatou and Julia to important recent results and methods of Sullivan and Shishikura. Many details of the proofs have not appeared in print before.

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    This text is intended to serve as an introduction to the geometry of the action of discrete groups of Mobius transformations. The subject matter has now been studied with changing points of emphasis for over a hundred years, the most recent developments being connected with the theory of 3-manifolds: see, for example, the papers of Poincare [77] and T...