| Description |
1 online resource (xvii, 454 pages) : illustrations (some color) |
| Series |
History of Mathematics, 2472-4785 ; no. 38 |
|
History of mathematics ; no. 38.
|
| Contents |
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 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 Branching out: Fatou and Julia in the 1920s The German wave Siegel, the center problem, and KAM theory Iteratin' around the globe 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 |
| Summary |
The theory of complex dynamics, whose roots lie in 19th-century studies of the iteration of complex function conducted by Kœnigs, Schröder, and others, flourished remarkably during the first half of the 20th century, when many of the central ideas and techniques of the subject developed. This book by Alexander, Iavernaro, and Rosa paints a robust picture of the field of complex dynamics between 1906 and 1942 through detailed discussions of the work of Fatou, Julia, Siegel, and several others. A recurrent theme of the authors' treatment is the center problem in complex dynamics. They present it |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Iterative methods (Mathematics)
|
|
Analytic functions.
|
|
MATHEMATICS -- Numerical Analysis.
|
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Analytic functions
|
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Iterative methods (Mathematics)
|
| Form |
Electronic book
|
| Author |
Iavernaro, Felice, 1967-
|
|
Rosa, Alessandro, 1974-
|
| LC no. |
2011014903 |
| ISBN |
9780821883259 |
|
0821883259 |
|
