AntiDemidovich. Volume 4. Part 1: Basic Structures of Mathematical Analysis, Complex Numbers

The series of books proposed to the reader "Help Management in Higher Mathematics" covers almost all sections of the highest mathematics.
In the fourth volume "functions of a complex variable: theory and practice" along with the necessary theoretical information contains over 370 detailed examples, including increased complexity. The reader also offers about 200 exercises with answers for self -control. The book is a logical continuation of previous volumes oriented to practice, but at the same time differs in a more detailed presentation of theoretical issues and can serve as an independent closed course of the theory of the functions of a complex alternating.
In this book --- the first part of the fourth volume --- the strict definition of the function is given, the basic issues of the theory of metric spaces are described, the geometric scheme of the introduction of complex numbers is described, the elementary functions of a complex alternating is considered. The book contains more than 190 problems with detailed solutions.
The manual is intended for students, teachers and employees of physical, mathematical, economic and engineering specialties, specialists in applied mathematics, as well as persons who independently study higher mathematics