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Dynamics in One Complex Variable : Third Edition

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Title: Dynamics in One Complex Variable : Third Edition
Description: 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 a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology. This third edition contains a number of minor additions and improvements: A historical survey has been added, the definition of Lattés map has been made more inclusive, and the écalle-Voronin theory of parabolic points is described. The résidu itératif is studied, and the material on two complex variables has been expanded. Recent results on effective computability have been added, and the references have been expanded and updated. Written in his usual brilliant style, the author makes difficult mathematics look easy. This book is a very accessible source for much of what has been accomplished in the field.
Authors: John Milnor
Resource Type: eBook.
Subjects: Riemann surfaces, Holomorphic mappings, Functions of complex variables
Categories: MATHEMATICS / General
Database: eBook Collection (EBSCOhost)
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 356986
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  Data: Dynamics in One Complex Variable : Third Edition
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  Data: 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 a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology. This third edition contains a number of minor additions and improvements: A historical survey has been added, the definition of Lattés map has been made more inclusive, and the écalle-Voronin theory of parabolic points is described. The résidu itératif is studied, and the material on two complex variables has been expanded. Recent results on effective computability have been added, and the references have been expanded and updated. Written in his usual brilliant style, the author makes difficult mathematics look easy. This book is a very accessible source for much of what has been accomplished in the field.
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  Data: <searchLink fieldCode="DE" term="%22Riemann+surfaces%22">Riemann surfaces</searchLink><br /><searchLink fieldCode="DE" term="%22Holomorphic+mappings%22">Holomorphic mappings</searchLink><br /><searchLink fieldCode="DE" term="%22Functions+of+complex+variables%22">Functions of complex variables</searchLink>
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      – Code: 515.93
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Riemann surfaces
        Type: general
      – SubjectFull: Holomorphic mappings
        Type: general
      – SubjectFull: Functions of complex variables
        Type: general
    Titles:
      – TitleFull: Dynamics in One Complex Variable : Third Edition
        Type: main
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          Name:
            NameFull: John Milnor
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            NameFull: John Milnor
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2006
            – D: 04
              M: 02
              Type: profile
              Y: 2014
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              Value: 9780691124872
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              Value: 9781400835539
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            – Type: volume
              Value: 00160
          Titles:
            – TitleFull: Dynamics in One Complex Variable : Third Edition
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