Product Description
by Charles Napoleon Moore (Author)
""Summable Series and Convergence Factors"" is a book written by Charles Napoleon Moore and published by the American Mathematical Society as part of their Colloquium Publication series (Volume 22). This book is aimed at advanced undergraduate and graduate students of mathematics who have a strong foundation in analysis and are interested in the theory of summable series and convergence factors. The book begins with an introduction to the theory of summable series, including definitions and basic properties. It then goes on to discuss various types of summability methods, such as Ces������ro summability, Abel summability, and Borel summability. The author also explores the relationship between summability and convergence, and provides examples of series that are summable but not convergent. The second half of the book focuses on convergence factors, which are used to determine the radius of convergence of a power series. The author discusses various types of convergence factors, such as Cauchy-Hadamard and Dini convergence factors, and provides examples of their application. Throughout the book, the author provides numerous exercises and examples to help the reader understand the concepts presented. The book is written in a clear and concise style, making it accessible to a wide range of readers. Overall, ""Summable Series and Convergence Factors"" is an important resource for anyone interested in the theory of summable series and convergence factors.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.
