A History of Complex Dynamics / Aspects of Mathematics Bd.24 (PDF)
From Schröder to Fatou and Julia
(Sprache: Englisch)
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,...
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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.
Autoren-Porträt von Daniel S. Alexander
Daniel S. Alexander ist Professor an der Drake University, Des Moines, Iowa, USA.
Bibliographische Angaben
- Autor: Daniel S. Alexander
- 2013, 1994, 166 Seiten, Englisch
- Verlag: Vieweg+Teubner Verlag
- ISBN-10: 366309197X
- ISBN-13: 9783663091974
- Erscheinungsdatum: 29.06.2013
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Größe: 22 MB
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Englisch
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