**Introduction to Complex Analysis**

by W W L Chen

**Publisher**: Macquarie University 2003**Number of pages**: 194

**Description**:

A set of notes suitable for an 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, uniqueness and the maximum principle; isolated singularities and Laurent series; Cauchy's integral theorem revisited; residue theory; evaluation of definite integrals; harmonic functions and conformal mappings; MÃ¶bius transformations; Schwarz-Christoffel transformations; uniform convergence.

Download or read it online for free here:

**Download link**

(2.7MB, PDF)

## Similar books

**Complex Analysis for Mathematics and Engineering**

by

**John H. Mathews, Russell W. Howell**-

**Jones & Bartlett Learning**

This book presents a comprehensive, student-friendly introduction to Complex Analysis concepts. Its clear, concise writing style and numerous applications make the foundations of the subject matter easily accessible to students.

(

**23912**views)

**Functions of a Complex Variable**

by

**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.

(

**7601**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.

(

**15381**views)

**The Elementary Properties of the Elliptic Functions**

by

**Alfred Cardew Dixon**-

**Macmillan**

This textbook will supply the wants of those students who, for reasons connected with examinations or otherwise, wish to have a knowledge of the elements of Elliptic Functions, not including the Theory of Transformations and the Theta Functions.

(

**8311**views)