The course of differential and integral calculus. Volume 2. Textbook

"The course of differential and integral calculus" is a fundamental textbook on mathematical analysis. The first edition of the three-volume "course ..." was published in 1948-1949. The book withstood many reprints, translated into various foreign languages. It is distinguished by systematicity and severity of the presentation, simple language, detailed explanations and numerous examples. It is highly appreciated by mathematicians as a unique collection of various facts of analysis, some of which cannot be found in other books in Russian.
The second volume is devoted to the theory of integral from the function of one material variable and theory of the rows. The presentation includes extremely detailed, complete and equipped with numerous examples, such classic sections of analysis as an uncertain integral and methods for calculating it, a certain integral of Riemann, an unacceptable integral, numerical and functional ranks, integrates, depending on the parameter, etc. At all not presented in elementary textbooks: endless works, the formula for the summation of Euler-Macloren and its applications, asymptotic decays, the theory of summation and close computing with the help of diverging ranks, etc.
The textbook is intended for students of universities, pedagogical and technical universities, As well as mathematicians, physicists, engineers and other specialists using mathematics in their work.
15th edition, stereotypical