A History of Complex Dynamics

Released on by Daniel S. Alexander
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  • A History of Complex Dynamics Book Detail

  • Author : Daniel S. Alexander
  • Release Date : 2013-06-29
  • Publisher : Springer Science & Business Media
  • Genre : Technology & Engineering
  • Pages : 175
  • ISBN 13 : 366309197X
  • File Size : 55,55 MB
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A History of Complex Dynamics by Daniel S. Alexander PDF Summary

Book 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.

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A History of Complex Dynamics

A History of Complex Dynamics

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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).

Complex Dynamics

Complex Dynamics

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A discussion of the properties of conformal mappings in the complex plane, closely related to the study of fractals and chaos. Indeed, the book ends in a detail

Early Days in Complex Dynamics

Early Days in Complex Dynamics

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The theory of complex dynamics, whose roots lie in 19th-century studies of the iteration of complex function conducted by Koenigs, Schoder, and others, flourish

Dynamics in One Complex Variable

Dynamics in One Complex Variable

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This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the