Functions of a complex variable and their applications: Tutorial

This book sets out issues of the theory of the functions of a complex variable within the framework of the course of higher mathematics with a total volume of 450–510 academic hours. The book contains the main provisions of the theory of analytical functions of one alternating, as well as the theory of conformal display and its connection with analytical functions. The application of this theory is considered for calculating flat vector fields, the basics of operational calculus, and the study of the stability of linear systems.
The book is intended for students of higher technical educational institutions studying the theory of the functions of a complex variable within the framework of the course of higher mathematics. It can also be used by engineers who want to increase their mathematical education