Early Days in Complex Dynamics
American Mathematical Society (Verlag)
978-0-8218-4464-9 (ISBN)
Daniel S. Alexander, Drake University, Des Moines, IA, USA Felice Iavernaro, Università di Bari, Bari, Italy Alessandro Rosa
Preface
Acknowledgments
Preliminaries
A complex dynamics primer
Introduction: Dynamics of a complex history
Iteration and differential equations I: The Poincaré connection
Color plates
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 Mathématiques
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 Mathématiques 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
Erscheint lt. Verlag | 30.12.2011 |
---|---|
Reihe/Serie | History of Mathematics |
Verlagsort | Providence |
Sprache | englisch |
Gewicht | 993 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
ISBN-10 | 0-8218-4464-4 / 0821844644 |
ISBN-13 | 978-0-8218-4464-9 / 9780821844649 |
Zustand | Neuware |
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