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  3. Kompleks analyse, komplekse variabler

Dynamics in One Complex Variable

- Third Edition
Af: John Milnor Engelsk Paperback

Dynamics in One Complex Variable

- Third Edition
Af: John Milnor Engelsk Paperback
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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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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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Produktdetaljer
Sprog: Engelsk
Sider: 320
ISBN-13: 9780691124889
Indbinding: Paperback
Udgave:
ISBN-10: 0691124884
Kategori: Kompleks analyse, komplekse variabler
Udg. Dato: 22 jan 2006
Længde: 17mm
Bredde: 179mm
Højde: 254mm
Forlag: Princeton University Press
Oplagsdato: 22 jan 2006
Forfatter(e): John Milnor
Forfatter(e) John Milnor

Kategori Kompleks analyse, komplekse variabler

ISBN-13 9780691124889

Sprog Engelsk

Indbinding Paperback

Sider 320

Udgave

Længde 17mm

Bredde 179mm

Højde 254mm

Udg. Dato 22 jan 2006

Oplagsdato 22 jan 2006

Forlag Princeton University Press

Kategori sammenhænge