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Item Details
Title: COMPLEX DYNAMICS
By: Lennart Carleson, T. W. Gamelin
Format: Paperback

List price: £53.99


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ISBN 10: 0387979425
ISBN 13: 9780387979427
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 2 February, 1996
Edition: 1st ed. 1993. Corr. 2nd printing 1996
Series: Universitext
Pages: 192
Description: 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.
Synopsis: A discussion of the properties of conformal mappings in the complex plane, closely related to the study of fractals and chaos. Indeed, the book ends in a detailed study of the famous Mandelbrot set, which describes very general properties of such mappings. Focusing on the analytic side of this contemporary subject, the text was developed from a course taught over several semesters and aims 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, classification of periodic components, critical points and expanding maps, some applications of conformal mappings, the local geometry of the Fatou set, and quadratic polynomials and the Mandelbrot set.
Illustrations: 1, black & white illustrations
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
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