TY  - GEN
T1  - Dynamics in one complex variable
T2  - Annals of mathematics studies ;
A1  - Milnor, John W. (John Willard), 1931-
LA  - English
PP  - Princeton
PB  - Princeton University Press
YR  - 2006
ED  - 3rd ed.
UL  - https://ebooks.jgu.edu.in/Record/ebsco_acadsubs_ocn704277558
AB  - 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.
OP  - 304
CN  - QA331.7 .M55 2006eb
SN  - 9781400835539
SN  - 1400835534
SN  - 1283001489
SN  - 9781283001489
SN  - 9786613001481
SN  - 6613001481
SN  - 0691124876
SN  - 9780691124872
SN  - 0691124884
SN  - 9780691124889
KW  - Functions of complex variables.
KW  - Holomorphic mappings.
KW  - Riemann surfaces.
KW  - Fonctions d'une variable complexe.
KW  - Applications holomorphes.
KW  - Surfaces de Riemann.
KW  - MATHEMATICS : Complex Analysis.
KW  - MATHEMATICS : General.
KW  - Functions of complex variables
KW  - Holomorphic mappings
KW  - Riemann surfaces
KW  - Iterierte Abbildung
KW  - Fixpunkttheorie
KW  - Julia-Menge
KW  - Fatou-Menge
KW  - Riemannsche Fläche
KW  - Holomorphe Abbildung
ER  -