**Stability, Riemann Surfaces, Conformal Mappings: Complex Functions Theory a-3**

by Leif Mejlbro

**Publisher**: BookBoon 2010**ISBN-13**: 9788776817022**Number of pages**: 115

**Description**:

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.

Download or read it online for free here:

**Download link**

(4.1MB, PDF)

## Similar books

**Lectures on Modular Functions of One Complex Variable**

by

**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.

(

**9666**views)

**Lectures on The Theory of Functions of Several Complex Variables**

by

**B. Malgrange**-

**Tata Institute of Fundamental Research**

Contents: Cauchy's formula and elementary consequences; Reinhardt domains and circular domains; Complex analytic manifolds; Analytic Continuation; Envelopes of Holomorphy; Domains of Holomorphy - Convexity Theory; d''-cohomology on the cube; etc.

(

**11201**views)

**Dynamics in One Complex Variable**

by

**John Milnor**-

**Princeton University Press**

This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the case of rational maps of the Riemann sphere. The book introduces some key ideas in the field, and forms a basis for further study.

(

**15991**views)

**Introduction to Complex Analysis**

by

**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.

(

**16390**views)