A History of Complex Dynamics: From Schreoder to Fatou and Julia - Couverture rigide

Alexander, Daniel S.

Couverture rigide

ISBN 10 : 3528065206 ISBN 13 : 9783528065201

Editeur : Friedrich Vieweg & Sohn Verlagsgesellschaft mbH, 1994

Synopsis

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. Schroder (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.

A propos du livre

À propos de l'auteur

Daniel S. Alexander ist Professor an der Drake University, Des Moines, Iowa, USA.

Détails de l'édition

• Éditeur: Friedrich Vieweg & Sohn Verlagsgesellschaft mbH
• Date d'édition: 1994
• Langue: anglais
• ISBN 10: 3528065206
• ISBN 13: 9783528065201
• Reliure: Relié
• Nombre de pages: 174
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible