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A History of Complex Dynamics: From Schröder to Fatou and Julia.

ALEXANDER, Daniel S.:

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ISBN 10: 3528065206 / ISBN 13: 9783528065201
Verlag: Brauschweig: Vieweg, 1994., 1994
Zustand: Near Fine Hardcover
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Beschreibung

viii, 165, [1=ads] pp; figs. Original laminated boards. Near Fine. Inscribed and signed by the author. Aspects of Mathematics Vol. E 24. '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.'. Buchnummer des Verkäufers 20895

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Bibliografische Details

Titel: A History of Complex Dynamics: From Schröder...

Verlag: Brauschweig: Vieweg, 1994.

Erscheinungsdatum: 1994

Einband: Hardcover

Zustand: Near Fine

Zustand des Schutzumschlags: No Jacket

Signiert: Signed by Author(s)

Auflage: 1st Edition

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Reseña del editor:

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.

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