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A History of Complex Dynamics

A History of Complex Dynamics

Daniel S. Alexander

97,57 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2013
Materia
Tecnología: cuestiones generales
ISBN:
9783663091998
97,57 €
IVA incluido
Disponible

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Sobre IBD

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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