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Complex dynamics /

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Complex Dynamics discusses the properties of conformal mappings in the complex plane, a subject that is closely connected to the study of fractals and chaos. Indeed the culmination of the book is a detailed study of the famous Mandelbrot set, which describes very general properties of such mappings....

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Bibliographic Details
Main Author: Carleson, Lennart
Corporate Author: SpringerLink (Online service)
Other Authors: Gamelin, Theodore W.
Format: eBook
Language:English
Published: New York : Springer-Verlag, [1993]
Series:Universitext. Tracts in mathematics.
Subjects:
Functions of complex variables.
Mappings (Mathematics)
Fixed point theory.
théorie point fixe.
Application.
fonction analytique.
fonction variable complexe.
Fonctions d'une variable complexe.
Applications (Mathématiques)
Point fixe, Théorème du.
Analytische functies.
Applications (mathématiques)
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary:Complex Dynamics discusses the properties of conformal mappings in the complex plane, a subject that is closely connected to the study of fractals and chaos. Indeed the culmination of the book is a detailed study of the famous Mandelbrot set, which describes very general properties of such mappings. The book focuses on the analytic side of this contemporary subject. The text was developed out of a course taught over several semesters; its focus is to help students and instructors to familiarize themselves with complex dynamics. Topics covered include: conformal and quasi-conformal mappings, fixed points and conjugations, basic rational iteration (the Julia set), classification of periodic components, critical points and expanding maps, some applications of conformal mappings (e.g. Hermann rings), the local geometry of the Fatou set, and quadratic polynomials and the Mandelbrot set.
Item Description:"Based on lectures of the first author at UCLA over several winter quarters, particularly 1986 and 1990"--Preface.
Electronic resource.
Physical Description:1 online resource (ix, 174 pages) : illustrations.
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references (pages 163-170) and indexes.
ISBN:9781461243649 (electronic bk.)
1461243645 (electronic bk.)