ISBN: 9783663091998 - A History of Complex Dynamics: From Schröder to Fatou and Julia: 24 (aspects of Mathematics, 24) (15 results)

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - In late 1917 Pierre Fatou and Gaston Julia each announced several results regarding the iteration ofrational functions of a single complex variable in the Comptes rendus of the French Academy of Sciences. These brief notes were the tip of an iceberg. In 1918 Julia published a long and fascinating treatise on the subject, which was followed in 1919 by an equally remarkable study, the first instalIment of a three part memoir by Fatou. Together these works form the bedrock of the contemporary study of complex dynamics. This book had its genesis in a question put to me by Paul Blanchard. Why did Fatou and Julia decide to study iteration As it turns out there is a very simple answer. In 1915 the French Academy of Sciences announced that it would award its 1918 Grand Prix des Sciences mathematiques for the study of iteration. However, like many simple answers, this one doesn't get at the whole truth, and, in fact, leaves us with another equally interesting question. Why did the Academy offer such a prize This study attempts to answer that last question, and the answer I found was not the obvious one that came to mind, namely, that the Academy's interest in iteration was prompted by Henri Poincare's use of iteration in his studies of celestial mechanics.…

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Taschenbuch. Condition: Neu. A History of Complex Dynamics | From Schröder to Fatou and Julia | Daniel S. Alexander | Taschenbuch | Aspects of Mathematics | viii | Englisch | 2013 | Vieweg+Teubner Verlag | EAN 9783663091998 | Verantwortliche Person für die EU: Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Str. 46, 65189 Wiesbaden, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.…

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In late 1917 Pierre Fatou and Gaston Julia each announced several results regarding the iteration ofrational functions of a single complex variable in the Comptes rendus of the French Academy of Sciences. These brief notes were the tip of an iceberg. In 1918 Julia published a long and fascinating treatise on the subject, which was followed in 1919 by an equally remarkable study, the first instalIment of a three part memoir by Fatou. Together these works form the bedrock of the contemporary study of complex dynamics. This book had its genesis in a question put to me by Paul Blanchard. Why did Fatou and Julia decide to study iteration As it turns out there is a very simple answer. In 1915 the French Academy of Sciences announced that it would award its 1918 Grand Prix des Sciences mathematiques for the study of iteration. However, like many simple answers, this one doesn't get at the whole truth, and, in fact, leaves us with another equally interesting question. Why did the Academy offer such a prize This study attempts to answer that last question, and the answer I found was not the obvious one that came to mind, namely, that the Academy's interest in iteration was prompted by Henri Poincare's use of iteration in his studies of celestial mechanics. 166 pp. Englisch.…

Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Daniel S. Alexander ist Professor an der Drake University, Des Moines, Iowa, USA.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 .…

Condition: New. Print on Demand pp. 176 23:B&W 6 x 9 in or 229 x 152 mm Perfect Bound on White w/Gloss Lam.

Condition: New. PRINT ON DEMAND pp. 176.

Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Das Studium der komplexen Dynamik, ein Gebiet, das seit einigen Jahren in hoher Blüte steht, beruht weitgehend auf dem Werk von G. Julia (1918) und P. Fatou (1919/20). Es ist das Ziel dieser Neuerscheinung, ihr Werk aus einer historischen Perspektive zu analysieren und im Einzelnen zu zeigen, wie es im Zusammenhang der Betrachtungen über Iterationen komplex analytischer Funktionen entstand. Diese nahmen ihren Anfang in Untersuchungen von E. Schröder (1870/71) über Newtons Methode. 1880 vertiefte Gabriel Koenigs diese Untersuchungen. Jedoch erst als Fatou und Julia die Mengentheorie und Paul Montels Theorie normaler Familien anwandten, wurde es möglich, einen umfassenden Zugang zu der Iteration rationaler Abbildungen auszuarbeiten. Dieses Buch zeigt, wie dieses faszinierende Stück moderner Mathematik Realität wurde.Vieweg+Teubner Verlag, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 176 pp. Englisch. …