Complex Dynamics

Complex Dynamics
Lennart Carleson (Auteur), T.W. Gamelin (Auteur)

Acheter neuf : EUR 60,94 (as of 12/23/2012 06:06 PST)
16 neuf & d'occasion a partir de EUR 29,14 (as of 12/23/2012 06:06 PST)

(Consultez la liste Meilleures ventes Mathematical Analysis pour des informations officielles sur le classement actuel de ce produit.)

Description du produit

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.