Articoli correlati a A History of Complex Dynamics: From Schreoder to Fatou...

A History of Complex Dynamics: From Schreoder to Fatou and Julia: 24 - Rilegato

Alexander, Daniel S.

 
9783528065201: A History of Complex Dynamics: From Schreoder to Fatou and Julia: 24

Sinossi

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.

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Informazioni sull'autore

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

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Altre edizioni note dello stesso titolo

9783663091998: A History of Complex Dynamics: From Schröder to Fatou and Julia: From Schröder to Fatou and Julia: 24

Edizione in evidenza

ISBN 10:  3663091996 ISBN 13:  9783663091998
Casa editrice: Vieweg+Teubner Verlag, 2013
Brossura