Complex Analysis

This text is aimed at university students specializing in mathematics and natural sciences, and at all the readers interested in studying complex analysis. The mathematical level of the exposition corresponds to advanced undergraduate courses of mathematical analysis and first graduate introduction to the discipline.

The book covers all the traditional topics of complex analysis, starting from the very beginning — the definition and properties of complex numbers, and ending with the theorems of great importance both for analysis and applications — the fundamental properties of conformal transformations. The topics considered in the book include the study of holomorphic and analytic functions, classification of singular points and the Laurent series expansion, theory of residues and their application to the evaluation of integrals, systematic study of elementary functions, analysis of conformal mappings and their applications.