An Introduction to Classical Dynamics

  • Joseph H. Silverman
Part of the Graduate Texts in Mathematics book series (GTM, volume 241)

Abstract

Classically, the subject of discrete complex dynamical systems involves the study of iteration of polynomial and rational maps on ℂ or ℙ1 (ℂ). The local theory of analytic iteration dates back to the 19th century, but the modern theory of global complex dynamics starts with the foundational works of Fatou [166], [167] and Julia [223] in 1918–1920. From that beginning has arisen a vast literature.

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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  • Joseph H. Silverman
    • 1
  1. 1.Department of MathematicsBrown UniversityProvidenceUSA

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