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
Stability, Riemann Surfaces, Conformal Mappings: Complex Functions Theory a-3by Leif Mejlbro - BookBoon
The book on complex functions theory. From the table of contents: Introduction; The argument principle, and criteria of stability; Many-valued functions and Riemann surfaces; Conformal mappings and the Dirichlet problem; Index.
(6905 views)
Introduction to Complex Analysisby W W L Chen - Macquarie University
Introduction to some of the basic ideas in complex analysis: complex numbers; foundations of complex analysis; complex differentiation; complex integrals; Cauchy's integral theorem; Cauchy's integral formula; Taylor series; Laurent series; etc.
(12287 views)
Elementary Analytic Functions: Complex Functions Theory a-1by Leif Mejlbro - BookBoon
This is an introductory book on complex functions theory. From the table of contents: Introduction; The Complex Numbers; Basic Topology and Complex Functions; Analytic Functions; Some elementary analytic functions; Index.
(8008 views)
Lectures on Modular Functions of One Complex Variableby H. Maass - Tata institute of Fundamental Research
This is an elementary introduction to the theory of modular functions and modular forms. Basic facts from the theory of functions of a complex variable and some properties of the elementary transcendental functions are the only prerequisites.
(5868 views)