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Dynamics in one complex variable

โœ Scribed by John W Milnor

Publisher
Princeton University Press
Year
2006
Tongue
English
Leaves
313
Series
Annals of mathematics studies, no. 160
Edition
3ed.
Category
Library
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โœฆ Synopsis

This book brings into focus the synergistic interaction between analysis and geometry by examining a variety of topics in function theory, real analysis, harmonic analysis, several complex variables, and group actions. Krantz's approach is motivated by examples, both classical and modern, which highlight the symbiotic relationship between analysis and geometry. Creating a synthesis among a host of different topics, this book is useful to researchers in geometry and analysis and may be of interest to physicists, astronomers, and engineers in certain areas. The book is based on lectures presented at an NSF-CBMS Regional Conference held in May 1992 Riemann surfaces -- Iterated holomorphic maps -- Local fixed point theory -- Periodic points: global theory -- Structure of the Fatou set -- Using the Fatou set to study the Julia set

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Dynamics in One Complex Variable
๐Ÿ“ Dynamics in One Complex Variable
โœ John Milnor ๐Ÿ“‚ Library ๐Ÿ“… 2000 ๐Ÿ› Friedrick Vieweg & Son ๐ŸŒ English

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 Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form

Dynamics in One Complex Variable
๐Ÿ“ Dynamics in One Complex Variable
โœ John Milnor ๐Ÿ“‚ Library ๐Ÿ“… 2006 ๐Ÿ› Princeton University Press ๐ŸŒ English

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 Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form

Dynamics in one complex variable, Third
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โœ John Willard Milnor ๐Ÿ“‚ Library ๐Ÿ“… 2006 ๐Ÿ› Princeton University Press ๐ŸŒ English

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 Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form

Dynamics in One Complex Variable: Introd
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โœ John Milnor (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 2000 ๐Ÿ› Vieweg+Teubner Verlag ๐ŸŒ English

<p>This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. It is based on introductory lectures given by the author at Stony Brook, NY, in the past ten years. <br> The subject is lar