Lectures on the Theory of Functions of a Complex Variable

This book is based on more than ten years experience in teaching the theory
of functions of a complex variable at the Moscow Physics and Technology
Institute. It is a textbook for students of universities and institutes
of technology with an advanced mathematical program.
We believe that it can also be used for independent study.
We have stressed the methods of the theory that are often used in applied
sciences. These methods include series expansions, conformal mapping,
application of the theory of residues to evaluating definite integrals,
and asymptotic methods. The material is structured in a way that will
give the reader the maximum assistance in mastering the basics of the
theory. To this end we have provided a wide range of worked-out
examples. We hope that these will help the reader acquire a deeper understanding of the theory and experience in problem solving.
The book was translated from Russian by Eugene Yankovsky and was first published by Mir in 1985.