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 ...
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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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Add this copy of A History of Complex Dynamics: From Schröder to Fatou to cart. $84.14, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2013 by Vieweg+Teubner Verlag.
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New. Print on demand Contains: Illustrations, black & white. Aspects of Mathematics . VIII, 166 p. 4 illus. Intended for professional and scholarly audience.
Add this copy of A History of Complex Dynamics: From Schröder to Fatou to cart. $97.00, good condition, Sold by Second Story Books rated 5.0 out of 5 stars, ships from Rockville, MD, UNITED STATES, published 1994 by Braunschweig/Wiesbaden.
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Book. Octavo, vii, 165 pages. In Good condition. Spine is blue with blue and white print. Boards in glossy blue paper with blue and white print. Text block has name in ink on front flyleaf. Illustrated: b&w diagrams. Series ISSN: 0179-2156. NOTE: Shelved in Netdesk Column I (ND-I). 1378952. FP New Rockville Stock.
Add this copy of A History of Complex Dynamics: From Schröder to Fatou to cart. $106.77, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2013 by Vieweg+Teubner Verlag.