A History of Complex Dynamics: From Schröder to Fatou and Julia
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Wiesbaden
Vieweg+Teubner Verlag
1994
|
| Schriftenreihe: | Aspects of Mathematics
24 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (VIII, 166 p) |
| ISBN: | 9783663091974 9783663091998 |
| ISSN: | 0179-2156 |
| DOI: | 10.1007/978-3-663-09197-4 |
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Datensatz im Suchindex
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| author | Alexander, Daniel S. |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-663-09197-4 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783663091974 9783663091998 |
| issn | 0179-2156 |
| language | English |
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| spelling | Alexander, Daniel S. Verfasser aut A History of Complex Dynamics From Schröder to Fatou and Julia by Daniel S. Alexander Wiesbaden Vieweg+Teubner Verlag 1994 1 Online-Ressource (VIII, 166 p) txt rdacontent c rdamedia cr rdacarrier Aspects of Mathematics 24 0179-2156 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 Engineering Engineering, general Ingenieurwissenschaften Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Iteration (DE-588)4123457-1 gnd rswk-swf Geschichte (DE-588)4020517-4 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 s Iteration (DE-588)4123457-1 s Geschichte (DE-588)4020517-4 s 1\p DE-604 Funktionentheorie (DE-588)4018935-1 s Dynamisches System (DE-588)4013396-5 s 2\p DE-604 https://doi.org/10.1007/978-3-663-09197-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Alexander, Daniel S. A History of Complex Dynamics From Schröder to Fatou and Julia Engineering Engineering, general Ingenieurwissenschaften Funktionentheorie (DE-588)4018935-1 gnd Analytische Funktion (DE-588)4142348-3 gnd Iteration (DE-588)4123457-1 gnd Geschichte (DE-588)4020517-4 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4018935-1 (DE-588)4142348-3 (DE-588)4123457-1 (DE-588)4020517-4 (DE-588)4013396-5 |
| title | A History of Complex Dynamics From Schröder to Fatou and Julia |
| title_auth | A History of Complex Dynamics From Schröder to Fatou and Julia |
| title_exact_search | A History of Complex Dynamics From Schröder to Fatou and Julia |
| title_full | A History of Complex Dynamics From Schröder to Fatou and Julia by Daniel S. Alexander |
| title_fullStr | A History of Complex Dynamics From Schröder to Fatou and Julia by Daniel S. Alexander |
| title_full_unstemmed | A History of Complex Dynamics From Schröder to Fatou and Julia by Daniel S. Alexander |
| title_short | A History of Complex Dynamics |
| title_sort | a history of complex dynamics from schroder to fatou and julia |
| title_sub | From Schröder to Fatou and Julia |
| topic | Engineering Engineering, general Ingenieurwissenschaften Funktionentheorie (DE-588)4018935-1 gnd Analytische Funktion (DE-588)4142348-3 gnd Iteration (DE-588)4123457-1 gnd Geschichte (DE-588)4020517-4 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Engineering Engineering, general Ingenieurwissenschaften Funktionentheorie Analytische Funktion Iteration Geschichte Dynamisches System |
| url | https://doi.org/10.1007/978-3-663-09197-4 |
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