Complex dynamics
Instant download
after payment (24/7)
Wide range of formats
(for all gadgets)
Full book
(including for Apple and Android)
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.
LF/941570/R
Data sheet
- Name of the Author
- Lennart Carleson
Theodore W. Gamelin - Language
- English
- Series
- Universitext / Universitext: Tracts in Mathematics
- ISBN
- 9780387979427
- Release date
- 1993
