On the Definition of the Sum of a Divergent Series (Classic Reprint)
Language: English
Published by Forgotten Books, 2024
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
£ 14.45
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Print on Demand. This book examines the concept of defining the sum of a series when it oscillates or diverges rather than converging to a finite limit. It begins by considering earlier work on the subject, such as that of Leibniz, Euler, and Abel, and explores the shortcomings of their approaches. The author then presents various definitions of summability, including those of CesÃro, HÃ lder, and Borel, and discusses their advantages and disadvantages. The book also explores the relationship between summability and convergence, and provides several examples to illustrate the concepts discussed. One of the book's main contributions is its provision of a framework for understanding the different definitions of summability and their relationship to each other. This framework allows the author to compare and contrast the different definitions and to identify their strengths and weaknesses. The book also includes several original results, such as the generalization of CesÃro's definition of summability to arbitrary order and the development of a new definition of summability that is more general than any of the existing definitions. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781332768400_0
- Title
- On the Definition of the Sum of a Divergent Series (Classic Reprint)
- Author
- Louis Lazarus Silverman
- Publisher
- Forgotten Books
- Publication year
- 2024
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1332768407
- ISBN 13
- 9781332768400
- Seller catalogs
- Calculus
This paper was accepted as a dissertation by the Graduate Faculty of the University of Missouri in May, 1910, in partial fulfillment of the require ments for the degree of Doctor of Philosophy.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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Forgotten Books publishes hundreds of thousands of rare and classic books.
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.
The digital edition of all books may be viewed before purchase if you request a sample.
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