Cain G Complex Analysis 1999 | 1.46 MB
English | 101 Pages

Title: Complex Analysis
Author: George Cain
Year: 2003

Description:
This is a textbook for an introductory course in complex analysis. It has been used for undergraduate complex analysis course at Georgia Institute of Technology.

This course is destined to introduce the student to the basic results in complex variable theory, in particular Cauchy's theorem, and to develop the student's facility in the following three areas:

- Computing the Laurent or Taylor series expansions associated to a function which is analytic in part of the complex plane, and the determination of the region of convergence of such series
- Computing definite integrals by means of the residue calculus
- Solving boundary value problems associated to the Laplace operator by means of the conformal transformations associated to analytic functions

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