Complex dynamics
Lennart Carleson, Theodore W. Gamelin · 1996
Where to buy
Check today’s price on Amazon. We do not show prices because they change daily.
View on AmazonAffiliate link. As an Amazon Associate we earn from qualifying purchases.
About the book
"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"--Publisher description.
Book details
- Year
- 1996
- Language
- English
- Publisher
- Springer
- Editions
- 4
- Pages
- 192
- ISBN
- 9780387979427
Data source: Wikidata