Front cover image for 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

Print Book, English, 2012
American Mathematical Society, Providence, R.I, 2012
454 Seiten : Illustrationen.
9780821844649, 0821844644
774929826
PrefaceAcknowledgmentsPreliminariesA complex dynamics primerIntroduction: Dynamics of a complex historyIteration and differential equations I: The Poincaré connectionColor platesIteration and differential equations II: Small divisorsThe core (1906–1920)Early overseas results: The United StatesThe road to the Grand Prix des Sciences MathématiquesWorks written for the Grand PrixIteration in ItalyThe giants fallAfter-maths (1920–1942)Branching out: Fatou and Julia in the 1920sThe German waveSiegel, the center problem, and KAM theoryIteratin’ around the globeTying the future to the pastReport on the Grand Prix des Sciences Mathématiques in 1918A history of normal familiesSingular lines of analytic functionsKleinian groupsCurves of JuliaProgress in Julia’s extension of Schwarz’s lemmaThe Denjoy-Wolff theoremDynamics of self-maps of the unit discKoebe and uniformizationPermutable maps in the 1920sThe last 60 years in permutable mapsUnderstanding Julia sets of entire mapsFatou: A biographical sketchGaston Julia: A biographical sketchSelected biographiesRemarks on computer graphicsGlossaryBibliographyIndex