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Language EnglishEnglish
Book Paperback
Book Complex Dynamics Lennart Carleson
Libristo code: 01385368
Publishers Springer, Berlin, February 1996
Complex Dynamics discusses the properties of conformal mappings in the complex plane, a subject that... Full description
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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. 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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About the book

Full name Complex Dynamics
Language English
Binding Book - Paperback
Date of issue 1996
Number of pages 192
EAN 9780387979427
ISBN 0387979425
Libristo code 01385368
Publishers Springer, Berlin
Weight 298
Dimensions 155 x 233 x 11
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