**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; Möbius transformations; Schwarz-Christoffel transformations; uniform convergence.

Download or read it online for free here:

**Download link**

(2.7MB, PDF)

## Similar books

**Lectures on The Riemann Zeta-Function**

by

**K. Chandrasekharan**-

**Tata Institute of Fundamental Research**

These notes provide an intorduction to the theory of the Riemann Zeta-function for students who might later want to do research on the subject. The Prime Number Theorem, Hardy's theorem, and Hamburger's theorem are the principal results proved here.

(

**7461**views)

**Metrics on the Phase Space and Non-Selfadjoint Pseudo-Differential Operators**

by

**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.

(

**5601**views)

**Lectures on Holomorphic Functions of Several Complex Variables**

by

**Piotr Jakobczak, Marek Jarnicki**-

**Jagiellonian University**

The text contains the background theory of several complex variables. We discuss the extension of holomorphic functions, automorphisms, domains of holomorphy, pseudoconvexity, etc. Prerequisites are real analysis and complex analysis of one variable.

(

**2670**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.

(

**3320**views)