Coverart for item
The Resource Dynamics in one complex variable, by John Milnor

Dynamics in one complex variable, by John Milnor

Label
Dynamics in one complex variable
Title
Dynamics in one complex variable
Statement of responsibility
by John Milnor
Creator
Subject
Genre
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 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
Member of
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
  • Julia-Menge
  • Fatou-Menge
  • Riemannsche Fläche
  • Holomorphe Abbildung
Label
Dynamics in one complex variable, by John Milnor
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 277-291) 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
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 277-291) 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

Library Locations

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      32.771354 -117.193327
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