Dynamics in One Complex Variable. (AM-160) PDF Download
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Author: John Milnor
Publisher: Princeton University Press
ISBN: 1400835534
Category : Mathematics
Languages : en
Pages : 313
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Book 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.
Author: John Milnor
Publisher: Princeton University Press
ISBN: 1400835534
Category : Mathematics
Languages : en
Pages : 313
Get Book Here
Book 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.
Author: John Milnor
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 320
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Book 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.
Author: John Milnor
Publisher:
ISBN: 9783663080930
Category :
Languages : en
Pages : 268
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Book Description
Author: John Willard Milnor
Publisher:
ISBN: 9789380250342
Category :
Languages : en
Pages : 304
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Book Description
Author: John Milnor
Publisher: Vieweg+teubner Verlag
ISBN:
Category : Mathematics
Languages : en
Pages : 278
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Book Description
This text 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. The subject is large and rapidly growing. These notes are intended to introduce the reader to 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.
Author: John Willard Milnor
Publisher:
ISBN:
Category : Functions of complex variables
Languages : en
Pages : 127
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Book Description
Author: John Willard Milnor
Publisher:
ISBN:
Category : Functions of complex variables
Languages : en
Pages : 127
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Book Description
Author: Sergio Amat
Publisher: Springer
ISBN: 331939228X
Category : Mathematics
Languages : en
Pages : 286
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Book Description
This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical modeling. In particular, a wide range of problems in Applied Mathematics and in Engineering can be solved by finding the solutions to these equations. The book reveals the importance of studying convergence aspects in iterative methods and shows that selection of the most efficient and robust iterative method for a given problem is crucial to guaranteeing a good approximation. A number of sample criteria for selecting the optimal method are presented, including those regarding the order of convergence, the computational cost, and the stability, including the dynamics. This book will appeal to researchers whose field of interest is related to nonlinear problems and equations, and their approximation.
Author: John Erik Fornæss
Publisher: American Mathematical Soc.
ISBN: 0821803174
Category : Mathematics
Languages : en
Pages : 59
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Book Description
This CBMS lecture series, held in Albany, New York in June 1994, aimed to introduce the audience to the literature on complex dynamics in higher dimension. Some of the lectures are updated versions of earlier lectures given jointly with Nessim Sibony in Montreal 1993. The author's intent in this book is to give an expansion of the Montreal lectures, basing complex dynamics in higher dimension systematically on pluripotential theory. These notes provide an easy-to-read introduction into the field, an introduction that motivates the topics. The monograph then points readers towards technically more advanced literature.
Author: Hanse J. Chung
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
