Complex dynamical systems : the mathematics behind the Mandelbrot and Julia sets
Robert L. Devaney, editor ; [authors] Bodil Branner ... [et al.].
Providence, R.I. : American Mathematical Society, ©1994.
ix, 209 págs. : ilustraciones (algunas col.) ; 27 cm.
Serie: Proceedings of symposia in applied mathematics ; v. 49
ISBN: 0821802909
"Lecture notes prepared for the American Mathematical Society short course Complex dynamical systems, held in Cincinnati, Ohio, January 10-11, 1994".
Incluye referencias bibliográficas e índice.
Reseña: MathSciNet, 95m:30036
Contenido
- The complex dynamics of quadratic polynomials / Robert L. Devaney
- Puzzles and para-puzzles of quadratic and cubic polynomials / Bodil Branner
- Julia sets of rational maps / Linda Keen
- Does a Julia set depend continuously on the polynomial? / Adrien Douady
- The dynamics of Newton's method / Paul Blanchard
- The spider algorithm / John H. Hubbard and Dierk Schleicher
- Complex dynamics and entire functions / Robert L. Devaney.