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. Schroder (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, ...
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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. Schroder (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.
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Add this copy of A History of Complex Dynamics: From Schröder to Fatou to cart. $97.00, good condition, Sold by Second Story Books rated 5.0 out of 5 stars, ships from Rockville, MD, UNITED STATES, published 1994 by Braunschweig/Wiesbaden.
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Seller's Description:
Book. Octavo, vii, 165 pages. In Good condition. Spine is blue with blue and white print. Boards in glossy blue paper with blue and white print. Text block has name in ink on front flyleaf. Illustrated: b&w diagrams. Series ISSN: 0179-2156. NOTE: Shelved in Netdesk Column I (ND-I). 1378952. FP New Rockville Stock.
