Complex Dynamics (Universitext / Universitext: Tracts in Mathematics) - Lennart Carleson, Theodore W. Gamelin, Gamelin, Theodore W (1996)
ISBN 0387979425
Subject Functions of complex variables; Mappings (Mathematics); Fixed point theory
Publisher Springer
Publication Date 2/2/1996
Format Paperback (234 x 156 mm)
Language e
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.
Personal Details
Collection Status In Collection
Index 634
Read It Yes
Loaned To Ivan Mann
Loan Date 5/30/2012
Due Date 6/20/2012
Overdue Yes
Links Amazon US
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Product Details
LoC Classification QA331.7.C37 1993
Dewey 515/.9
Cover Price $59.95
No. of Pages 192
"Based on lectures of the first author at UCLA over several winter quarters, particularly 1986 and 1990"--Pref.