Real Fatou Conjecture

Unlock the mysteries of complex dynamics with "Real Fatou Conjecture," a groundbreaking work by Princeton University Press. First published in 1998, this enlightening paperback spans 148 pages and delves into the conjecture posed by Pierre Fatou in 1920. Fatou suggested that, with certain exceptions, all critical points of a rational map of the Riemann sphere converge to periodic orbits upon iteration. This comprehensive book offers a rigorous proof of the Real Fatou Conjecture, presented in a self-contained manner that is accessible to both scholars and enthusiasts of mathematical theory. Discover the elegant solutions and intricate arguments that shine light on this significant aspect of mathematics. Suitable for anyone interested in the realms of complex analysis and dynamical systems, this title is a must-have for your mathematical library.