Теорія лишків та контурне інтегрування в прикладних задачах математичного аналізу

Abstract

The work considers the method of contour integration in the complex plane as a powerful tool for calculating complex integrals arising in physics, probability theory, and engineering. The key role of Cauchy's residue theorem is shown, which reduces the calculation of an integral along a closed contour to the analysis of singular points (poles) of the integrand.