Diverging ranks. Hardy G.G.

This book is a monograph on the summation of diverging rows. It contains an extensive historical overview of the issue, a brief introduction into the general theory of summation of the rows and a detailed study of a number of specific methods of summation (methods of Cesaro, Abel, Vorono, Euler, etc.). In addition, the theory is considered here to the task of changing the rows, to the study of the Ayler-Macloren summation formula, to the analytical continuation of functions, to summarizing the Fourier series and to find the values ​​of certain integrals.

The book is designed for mathematicians - scientists, graduate students and senior students - and requires knowledge theory of actual and comprehensive variables for their reading. In some of its sections, it can also be useful for those engineers who are found with diverging rows.