Beschreibung
The contemporary study of complex dynamics, which has flourished so much in recent years, is based largely upon work by G. Julia (1918) and P. Fatou (1919/20). The goal of this book is to analyze this work from an historical perspective and show in detail, how it grew out of a corpus regarding the iteration of complex analytic functions. This began with investigations by E. Schröder (1870/71) which he made, when he studied Newton's method. In the 1880's, Gabriel Koenigs fashioned this study into a rigorous body of work and, thereby, influenced a lot the subsequent development. But only, when Fatou and Julia applied set theory as well as Paul Montel's theory of normal families, it was possible to develop a global approach to the iteration of rational maps. This book shows, how this intriguing piece of modern mathematics became reality.
Autorenporträt
Daniel S. Alexander ist Professor an der Drake University, Des Moines, Iowa, USA.
Herstellerkennzeichnung:
Springer Vieweg in Springer Science + Business Media
Abraham-Lincoln-Straße 46
65189 Wiesbaden
DE
E-Mail: juergen.hartmann@springer.com
