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Alexander, Daniel S. - A History of Complex Dynamics - From Schröder to Fatou and Julia
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| Schrijver: | Alexander, Daniel S. |
|---|---|
| Titel: | A History of Complex Dynamics - From Schröder to Fatou and Julia |
| ISBN: | 9783663091998 |
| Uitgever: | Vieweg & Teubner |
| Bijzonderheid: | 2013 176pp Paperback / softback |
| Prijs: |
€ 79,90
Gratis
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| Meer info | Flaptekst 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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