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Titlebook: A History of Complex Dynamics; From Schr?der to Fat Daniel S. Alexander Textbook 1994 Springer Fachmedien Wiesbaden 1994 dynamics.flow.hist

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樓主
發(fā)表于 2025-3-21 18:48:41 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱A History of Complex Dynamics
期刊簡(jiǎn)稱From Schr?der to Fat
影響因子2023Daniel S. Alexander
視頻videohttp://file.papertrans.cn/142/141121/141121.mp4
學(xué)科分類Aspects of Mathematics
圖書封面Titlebook: A History of Complex Dynamics; From Schr?der to Fat Daniel S. Alexander Textbook 1994 Springer Fachmedien Wiesbaden 1994 dynamics.flow.hist
影響因子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 He
Pindex Textbook 1994
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https://doi.org/10.1007/978-1-4614-9572-7ed examinations of Newton’s method. The first was a remarkable paper by the German mathematician Ernst Schr?der (1841–1902), published in two parts in 1870 and 1871, and the second, written by the British mathematician Arthur Cayley (1821–1895), appeared in 1879.
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Introgressions Between Wheat and Rye,ine and Farkas, Koenigs turned the study of the iteration of complex functions into a coherent and rigorously established body of work. His influence on the study of iteration continued throughout the 1890’s. Not only did two of his students, Leopold Leau and Auguste Grévy (1865–1930) each examine a
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Impacts of Alien Reptiles and Amphibians,do not converge to an attracting or neutral orbit. Fatou’s note [1906a] described this set, often denoted J, in detail for a class of complex rational functions possessing a unique attracting fixed point. Although his technique of examining the intersection of the preimages under ..(.) of the comple
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