Lectures on the theory of numerical and functional series

It is published by decision of the editorial and public council of Moscow State University named after M.V. Lomonosov.

The textbook contains a systematic presentation of the four important sections of the general course of mathematical analysis: the theory of numerical series, the theory of functional sequences and rows, the theory of the Fourier series and basic information on the Fourier integral. The presentation is as close as possible to the lecture rate.

For bachelors that deeply study mathematics.

Keywords: a series, sequence, convergence, uniform convergence, operations with converging rows, summation of diverging rows, double and repeated rows, endless works, steppe rows, Fourier rows along orthonomated systems, trigonometric rows of Fourier, Fourier integral