Early Days in Complex Dynamics: A History of Complex Dynamics in One Variable During 1906-1942
Early Days in Complex Dynamics: A History of Complex Dynamics in One Variable During 1906-1942
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DOI：
10.5860/choice.50-0928
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发表时间：
2011-11
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影响因子：
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通讯作者：
D. Alexander;F. Iavernaro;Alessandro Rosa
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文献类型：
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作者：
D. Alexander;F. Iavernaro;Alessandro Rosa
分类：复动力学入门导论：复动力学的历史迭代与微分方程I：庞加莱连接迭代与微分方程II：小因子核心（1906-1920）：早期海外成果：美国通往数学科学大奖赛之路为意大利的数学大奖赛而写的作品巨人倒下了（1920-1942）：分支：Fatou和朱莉娅在20世纪20年代德国波西格尔，中心问题，和KAM理论Iteratin'周围的地球仪把未来绑在过去：正规族的历史解析函数的奇异线Kleinian群Julia曲线Julia对施瓦茨推广的进展引理Denjoy-Wolff定理单位圆盘自映射的动力学Koebe和单值化20世纪20年代的可置换映射在可置换映射中的最后60年理解整个映射的Julia集Fatou：A biographical sketch Gaston Julia：A biographical sketch Selected biographies计算机图形学注释词汇表书目索引色板
Preliminaries: A complex dynamics primer Introduction: Dynamics of a complex history Iteration and differential equations I: The Poincare connection Iteration and differential equations II: Small divisors The core (1906-1920): Early overseas results: The United States The road to the Grand Prix des Sciences Mathematiques Works written for the Grand Prix Iteration in Italy The giants fall After-maths (1920-1942): Branching out: Fatou and Julia in the 1920s The German wave Siegel, the center problem, and KAM theory Iteratin' around the globe Tying the future to the past: Report on the Grand Prix des Sciences Mathematiques in 1918 A history of normal families Singular lines of analytic functions Kleinian groups Curves of Julia Progress in Julia's extension of Schwarz's lemma The Denjoy-Wolff theorem Dynamics of self-maps of the unit disc Koebe and uniformization Permutable maps in the 1920s The last 60 years in permutable maps Understanding Julia sets of entire maps Fatou: A biographical sketch Gaston Julia: A biographical sketch Selected biographies Remarks on computer graphics Glossary Bibliography Index Color plates