Complex dynamics (Universitext) - Softcover

Lennart Carleson

Softcover

ISBN 10: 3540979425 ISBN 13: 9783540979425

Publisher: Springer-Verlag, 1993

Synopsis

This study 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 (eg Hermann rings), the local geometry of the Fatou set, and quadratic polynomials and the Mandelbrot set.

About this title

Review

"It gives a comprehensive account of the field...a valuable guide..." -- ZENTRALBLATT MATH

Edition details

• Publisher: Springer-Verlag
• Publication date: 1993
• ISBN 10: 3540979425
• ISBN 13: 9783540979425
• Binding: Paperback
• Language: English
• Number of pages: 174