A History of Complex Dynamics
From Schröder to Fatou and Julia
Daniel S. Alexander(Author)
Vieweg+Teubner Verlag
Published on 1. January 1994
Book
Hardback
VIII, 166 pages
978-3-528-06520-1 (ISBN)
Description
The contemporary study of complex dynamics, which has flourished so much in recent years, is based largely upon work by G. Julia (1918) and P. Fatou (1919/20). The goal of this book is to analyze this work from an historical perspective and show in detail, how it grew out of a corpus regarding the iteration of complex analytic functions. This began with investigations by E. Schröder (1870/71) which he made, when he studied Newton's method. In the 1880's, Gabriel Koenigs fashioned this study into a rigorous body of work and, thereby, influenced a lot the subsequent development. But only, when Fatou and Julia applied set theory as well as Paul Montel's theory of normal families, it was possible to develop a global approach to the iteration of rational maps. This book shows, how this intriguing piece of modern mathematics became reality.
More details
Series
Edition
1994
Language
English
Place of publication
Wiesbaden
Germany
Publishing group
Vieweg & Teubner
Target group
College/higher education
Professional and scholarly
Illustrations
4 s/w Abbildungen
Dimensions
Height: 22.9 cm
Width: 16.2 cm
Weight
424 gr
ISBN-13
978-3-528-06520-1 (9783528065201)
DOI
10.1007/978-3-663-09197-4
Schweitzer Classification
Other editions
Additional editions

Book
11/2013
Vieweg+Teubner Verlag
€74.89
Shipment within 10-15 days
Person
Daniel S. Alexander ist Professor an der Drake University, Des Moines, Iowa, USA.
Content
Contents: Schröder, Cayley and Newton's Method - The Next Wave: Korkine and Farkas - Gabriel Koenigs - Iteration in the 1890's: Grévy - Iteration in the 1890's: Leau - The Flower Theorem of Fatou and Julia - Fatou's 1906 Note - Montel's Theory of Normal Families - The Contest - Lattès and Ritt - Fatou and Julia.