The Resource Dynamics in one complex variable, by John Milnor
Dynamics in one complex variable, by John Milnor
Resource Information
The item Dynamics in one complex variable, by John Milnor represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Dynamics in one complex variable, by John Milnor represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
 Summary
 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 twodimensional 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 écalleVoronin 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
 Language
 eng
 Edition
 3rd ed
 Extent
 1 online resource (viii, 304 pages)
 Contents

 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
 Isbn
 9781400835539
 Label
 Dynamics in one complex variable
 Title
 Dynamics in one complex variable
 Statement of responsibility
 by John Milnor
 Subject

 Electronic books
 FatouMenge
 Fixpunkttheorie
 Fonctions d'une variable complexe
 Functions of complex variables
 Functions of complex variables
 Holomorphe Abbildung
 Holomorphic mappings
 Holomorphic mappings
 Iterierte Abbildung
 JuliaMenge
 MATHEMATICS  Complex Analysis
 MATHEMATICS  General
 Riemann surfaces
 Riemann surfaces
 Riemann, Surfaces de
 Riemannsche Fläche
 Applications holomorphes
 Language
 eng
 Summary
 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 twodimensional 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 écalleVoronin 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
 Cataloging source
 N$T
 http://library.link/vocab/creatorDate
 1931
 http://library.link/vocab/creatorName
 Milnor, John W.
 Illustrations
 illustrations
 Index
 index present
 Language note
 In English
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Annals of mathematics studies
 Series volume
 no. 160
 http://library.link/vocab/subjectName

 Functions of complex variables
 Holomorphic mappings
 Riemann surfaces
 Fonctions d'une variable complexe
 Applications holomorphes
 Riemann, Surfaces de
 MATHEMATICS
 MATHEMATICS
 Functions of complex variables
 Holomorphic mappings
 Riemann surfaces
 Iterierte Abbildung
 Fixpunkttheorie
 JuliaMenge
 FatouMenge
 Riemannsche Fläche
 Holomorphe Abbildung
 Label
 Dynamics in one complex variable, by John Milnor
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 277291) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 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
 Control code
 ocn704277558
 Dimensions
 unknown
 Edition
 3rd ed
 Extent
 1 online resource (viii, 304 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781400835539
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 JSTOR
 Other control number
 10.1515/9781400835539
 Other physical details
 illustrations
 http://library.link/vocab/ext/overdrive/overdriveId
 22573/cttrz4s
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)704277558
 Label
 Dynamics in one complex variable, by John Milnor
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 277291) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 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
 Control code
 ocn704277558
 Dimensions
 unknown
 Edition
 3rd ed
 Extent
 1 online resource (viii, 304 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781400835539
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 JSTOR
 Other control number
 10.1515/9781400835539
 Other physical details
 illustrations
 http://library.link/vocab/ext/overdrive/overdriveId
 22573/cttrz4s
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)704277558
Subject
 Electronic books
 FatouMenge
 Fixpunkttheorie
 Fonctions d'une variable complexe
 Functions of complex variables
 Functions of complex variables
 Holomorphe Abbildung
 Holomorphic mappings
 Holomorphic mappings
 Iterierte Abbildung
 JuliaMenge
 MATHEMATICS  Complex Analysis
 MATHEMATICS  General
 Riemann surfaces
 Riemann surfaces
 Riemann, Surfaces de
 Riemannsche Fläche
 Applications holomorphes
Genre
Member of
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.sandiego.edu/portal/DynamicsinonecomplexvariablebyJohn/ivjxyf_VucY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.sandiego.edu/portal/DynamicsinonecomplexvariablebyJohn/ivjxyf_VucY/">Dynamics in one complex variable, by John Milnor</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.sandiego.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.sandiego.edu/">University of San Diego Libraries</a></span></span></span></span></div>