Mathematics-Dynamical Systems

Complex dynamics

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Title (user) : Complex dynamicsISBN : 9780387979427,0387979425DDC : 515/.9LCC : QA331.7 .C37 1993GoogleBook ID : M-I8qRE8HGUCOpenLibrary ID : OL1728209MEdition : CorrectedSeries : Universitext / Universitext: Tracts in MathematicsAuthors (user) : Lennart Carleson, Theod...
Description

Title (user) : Complex dynamics

ISBN : 9780387979427,0387979425

DDC : 515/.9

LCC : QA331.7 .C37 1993

GoogleBook ID : M-I8qRE8HGUC

OpenLibrary ID : OL1728209M

Edition : Corrected

Series : Universitext / Universitext: Tracts in Mathematics

Authors (user) : Lennart Carleson, Theodore W. Gamelin

Authors (google) : Lennart Carleson,Theodore W. Gamelin

Publisher : Springer

Language : English

Publication Date : 1993

Scanned : yes (800 DPI)

File Format : djvu

Categories : Mathematics


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Description (user) :
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.


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Description (google) :
This book discusses the properties of conformal mappings in the complex plane, a subject closely connected to the study of fractals and chaos. Focusing on analytic aspects of this contemporary topic, it includes a detailed study of the famous Mandelbrot set.

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