Complex Dynamics
Springer (Publisher)
199th Edition
Published in August 1993
Book
Paperback/Softback
IX, 175 pages
978-3-540-97942-5 (ISBN)
Description
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.
More details
Series
Edition
199., Corr. 2nd printing
Language
German
Place of publication
Berlin
Germany
Target group
College/higher education
Professional and scholarly
Product notice
Paperback (UK-trade)
Illustrations
28 figs.
Dimensions
Height: 216 mm
Width: 138 mm
Weight
330 gr
ISBN-13
978-3-540-97942-5 (9783540979425)
Schweitzer Classification