**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

**Computing of the Complex Variable Functions**

by

**Solomon I. Khmelnik, Inna S. Doubson**-

**MiC**

Hardware algorithms for computing of all elementary complex variable functions are proposed. Contents: A method 'digit-by-digit'; Decomposition; Compositions; Two-step-by-step operations; Taking the logarithm; Potentiation; and more.

(

**8619**views)

**Elementary Analytic Functions: Complex Functions Theory a-1**

by

**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.

(

**10408**views)

**Complex Analysis**

by

**George Cain**

The textbook for an introductory course in complex analysis. It covers complex numbers and functions, integration, Cauchy's theorem, harmonic functions, Taylor and Laurent series, poles and residues, argument principle, and more.

(

**15191**views)

**Complex Variables: Second Edition**

by

**R. B. Ash, W. P. Novinger**-

**Dover Publications**

The text for advanced undergraduates and graduates, it offers a concise treatment, explanations, problems and solutions. Topics include elementary theory, general Cauchy theorem and applications, analytic functions, and prime number theorem.

(

**17219**views)