Training ManualM. Gos. ed. of technical and theoretical literature, 1954. 401 s. "Lectures on Approximate Computing" of the outstanding Soviet mathematician and engineer akad. A. N. Krylov was the first in the world literature course of approximate calculations and served as a model for the courses of other authors published after them. This classic manual has become a reference book for those workers in various fields of science and technology who have to bring to numerical results the solution of mathematical problems encountered in their practice. Of course, the field of applied mathematics, which lectures A. N. Krylova is dedicated, has developed significantly in recent decades, as the practice of everyday calculations were widely involved tasks not considered in these lectures. The funds that modern technology can provide for a machined solution of mathematical problems have been extremely enriched. However, the "Lectures" of A. N. Krylov has fully retained its importance as the best course to introduce the reader to this important field of practical science.