Some Generalizations In The Theory Of Summable Divergent Series (1913)

Some Generalizations In The Theory Of Summable Divergent Series is a book written by Lloyd Leroy Smail and published in 1913. The book is a mathematical treatise that explores the theory of summable divergent series, which are mathematical series that do not converge to a finite value but can still be assigned a sum. Smail's book presents a number of generalizations in this theory, including the introduction of a new type of summability called ""Ces������ro summability"" and the extension of the theory to include power series. The author also discusses the relationship between summable divergent series and the Riemann zeta function, as well as the application of these concepts to the study of Fourier series.The book is written for a mathematically advanced audience and assumes a solid foundation in calculus and analysis. It is a significant contribution to the field of mathematical analysis and remains an important reference for researchers and scholars in the field.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.