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## Divergent Series, First American Edition, Second Textually Unaltered Edition (Hardback)"All [Hardy's] books gave him some degree of pleasure, but this one, his last, was his favourite. When embarking on it he told me that he believed in its value (as he well might), and also that he looked forward to the task with enthusiasm. He had actually given lectures on the subject at intervals ever since his return to Cambridge in 1931, and had at one time or another lectured on everything in the book except Chapter XIII." — J.E. Littlewood in the Preface ## $37.95 |

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Please contact us if you've got questions about this product.## Condition

**VERY GOOD:** The book is in very good condition, showing a few signs of use (namely, a scuff mark on the front cover; and a publisher’s sticker with the ISBNs on the back cover that was not removed for fear of damaging the fabric cover). The pages are clean and the binding is tight. This book was printed on acid-free paper.

NOTE: There is no dust jacket, but based on images of other editions, the book may never have had one.

NOTE: The image is a digital composite of the spine and the front cover.

## Description

Note from the Publisher: “Second (Textually Unaltered) Edition, 1991

“The First Edition of the present work was published at Oxford in 1949. This edition is published in New York, in 1991 and is printed on ‘long-life,’ acid-free paper.”

**BRIEF CONTENTS**

- Note on Conventions
- I. Introduction
- II. Some Historical Examples
- III. General Theorems
- IV. Special Methods of Summation
- V. Arithmetic Means (1)
- VI. Arithmetic Means (2)
- VII. Tauberian Theorems for Power Series
- VIII. The Methods of Euler and Borel (1)
- IX. The Methods of Euler and Borel (2)
- X. Multiplication of Series
- XI. Hausdorff Means
- XII. Wiener’s Tauberian Theorems
- XIII. The Euler-Maclaurin Sum Formula
- Appendix I. On the Evaluation of Certain Definite Integrals by Means of Divergent Series
- Appendix II. The Fourier Kernels of Certain Methods of Summation
- Appendix III. On Riemann and Abel Summability
- Appendix IV. On Lambert and Ingham Summability
- Appendix V. Two Theorems of M. L. Cartwright
- List of Books
- List of Periodicals
- List of Authors
- List of Definitions
- General Index

## Details

- SKU:
- 1863
- Author:
- Hardy, G. H.
- Publisher:
- AMS Chelsea Publishing
- Publish Date:
- Second Textually Unaltered Edition, 1991 (First American Edition)
- Format:
- Hardback
- Weight (pounds):
- 1.6
- Dimensions (W”xL”xH”):
- 6.2″x9.25″x1.1″
- ISBN-13:
- 9780821826492
- ISBN-10:
- 0821826492

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