Dynamics in One Complex Variable
by John Milnor
Publisher: Princeton University Press 1991
ISBN/ASIN: 0691124884
ISBN-13: 9780691124889
Number of pages: 146
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. 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.
Download or read it online for free here:
Download link
(1.1MB, PDF)
Similar books
Functions of a Complex Variableby Thomas S. Fiske - John Wiley & sons
This book is a brief introductory account of some of the more fundamental portions of the theory of functions of a complex variable. It will give the uninitiated some idea of the nature of one of the most important branches of modem mathematics.
(3194 views)
Lectures on Riemann Matricesby C.L. Siegel - Tata Institute of Fundamental Research
A systematic study of Riemann matrices which arise in a natural way from the theory of abelian functions. Contents: Abelian Functions; Commutator-algebra of a R-matrix; Division algebras over Q with a positive involution; Cyclic algebras; etc.
(5639 views)
Lectures on the Mean-Value and Omega Theorems for the Riemann Zeta-Functionby K. Ramachandra - Tata Institute of Fundamental Research
This short book is a text on the mean-value and omega theorems for the Riemann Zeta-function. The author includes discussion of some fundamental theorems on Titchmarsh series and applications, and Titchmarsh's Phenomenon.
(5475 views)
Metrics on the Phase Space and Non-Selfadjoint Pseudo-Differential Operatorsby Nicolas Lerner - Birkhäuser
This is a book on pseudodifferential operators, with emphasis on non-selfadjoint operators, a priori estimates and localization in the phase space. The first part of the book is accessible to graduate students with a decent background in Analysis.
(6185 views)