Theory of Functions of a Complex Variable and Operational Calculus in Examples and Problems

The manual covers the classic partitions of the theory of complex variable functions: differentiation, integration, decomposition into functional series, analysis of singular points and calculating deductions. The use of Laplace and Z-conversion transformation to solve linear differential and difference equations is considered. Particular attention is paid to the specifics of solving problems of analyzing the output processes and the stability of linear one-dimensional and multidimensional continuous and discrete dynamic systems under investigators in the theory of management. For each section, the main theoretical information is summarized, the solutions of typical examples are given, exercises and tasks for independent work with the answers are given. The textbook supports the competence model of training: contains models of the required knowledge and skills to solve the model objectives of the subject. For students of higher educational institutions receiving education in the direction (specialty) "Applied Mathematics", as well as in areas (specialties) of natural sciences, technology and technologies, computer science and economics to the qualifications of a specialist, bachelor"s degree and master