You are here: Home / Shop / Product Detail Page |

## 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 |

### Need More Info?

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

## Related Products

### Products related to "Divergent Series, First American Edition, Second Textually Unaltered Edition (Hardback)"

- Views:

#### Graduate Texts in Mathematics: A Course in Arithmetic (Hardback)

$40.95

This book is divided into two parts: the first is purely algebraic, while the second uses "analytic" methods (holomorphic functions).

#### Handbook of Mathematics and Computational Science (Hardback)

$39.50

"The Harris and Stocker Handbook of Mathematics and Computation Science is a complete desk-top reference for working scientists, engineers, and students. It serves as a veritable math toolbox for rapid access to a wealth of mathematics information for everyday use in problem solving, homework, examinations, etc." — From the back cover

#### The Volume Library (2-Volume Hardback Set)

$8.99

"

*The Volume Library*, which is revised and updated annually, was designed for interested, well-informed people—students and adults who need an authoritative reference book for their home book-shelves, and parents who want to keep abreast of the subjects their children are studying in school."—Preface#### Analytical Mechanics: A Comprehensive Treatise on the Dynamics of Constrained Systems; For Engineers, Physicists, and Mathematicians (Hardback)

$279.95

From the Preface: “This book is a classical and detailed introduction to advanced analytical mechanics (AM), with special emphasis on its basic principles and equations of motion, as they apply to the most general constrained mechanical systems with a finite number of degrees of freedom..."

#### The Traveling Salesman Problem: A Guided Tour of Combinatorial Optimization (Hardcover)

$169.95

"Provides an in-depth treatment of the Traveling Salesman problem—the archetypical problem in combinatorial optimization. Each chapter deals with a different aspect of the problem, and has been written by an acknowledged expert in the field. Focusses on the essential ideas in a self-contained manner. Includes exercises and an extensive bibliography."—from the publisher

#### History of Algebraic Geometry: An Outline of the History and Development of Algebraic Geometry (Hardback)

$136.99

"Algebraic geometry is undoubtedly the area of mathematics where the deviation is greatest between the intuitive ideas forming its starting point and the abstract and complex concepts at the foundation of modern research. The purpose of this work is to help the willing reader abridge the gap." — From the Foreword (page VII)

#### Encyclopedia of Mathematics and Its Applications 20: Finite Fields (Hardback)

$123.50

"In this book, which is the first one devoted entirely to finite fields, we have aimed at presenting both the classical and the applications-oriented aspect of the subject. Thus, in addition to what has to be considered the essential core of the theory, the reader will find results and techniques that are of importance mainly because of their use in applications." — From the Authors in the Preface

#### Positive Harmonic Functions and Diffusion: An Integrated Analytic and Probabilistic Approach (Hardback)

$119.95

"In this book, Professor Pinsky gives a self-contained account of the theory of positive harmonic functions for second order elliptic operators, using an integrated probabilistic and analytic approach." — From the back cover

#### Introduction to Analysis of the Infinite, Book I (Hardback)

$89.95

"...I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those things which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. ... [I]n the first book, since all of analysis is concerned with variable quantities and functions of such variables, I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite series. In addition I have developed functions in infinite series..." — From the Preface by the Author, Leonhard Euler

#### Discrete Mathematics and Its Applications: Handbook of Computational Group Theory (Hardback)

$79.99

"The origins of computational group theory (CGT) date back to the late 19th and early 20th centuries. Since then, the field has flourished, particularly during the past 30 to 40 years, and today it remains a lively and active branch of mathematics." — From the back cover

#### Emergence of the Theory of Lie Groups: An Essay in the History of Mathematics 1869-1926 (Hardback)

$79.95

"Written by the recipient of the 1997 MAA Chauvenet Prize for mathematical exposition, this book tells how the theory of Lie groups emerged from a fascinating cross-fertilization of many strains of nineteenth and twentieth century geometry, analysis, mathematical physics, algebra, and topology. The reader will meet a host of mathematicians from the period and become acquainted with the major mathematical schools." — From the back cover

#### Studies in Advanced Mathematics: Harmonic Analysis and Applications (Hardback)

$79.95

"Harmonic analysis plays an essential role in understanding a host of engineering, mathematical, and scientific ideas. In

*Harmonic Analysis and Applications*, the analysis and synthesis of functions in terms of harmonics is presented in such a way as to demonstrate the vitality, power, elegance, usefulness, and the intricacy and simplicity of the subject." — From the back cover#### Encyclopedia of Mathematics and Its Applications 20: Finite Fields (Softcover)

$73.95

"In this book, which is the first one devoted entirely to finite fields, we have aimed at presenting both the classical and the applications-oriented aspect of the subject. Thus, in addition to what has to be considered the essential core of the theory, the reader will find results and techniques that are of importance mainly because of their use in applications." — From the Authors in the Preface

#### Iterative Methods for Sparse Linear Systems, Second Edition (Softcover)

$73.95

"This book can be used to teach graduate-level courses on iterative methods for linear systems. Engineers and mathematicians will find its contents easily accessible, and practitioners and educators will value it as a helpful resource. The preface includes syllabi that can be used for either a semester- or quarter-length course in both mathematics and computer science." — From the back cover

#### Discrete Mathematics and Its Applications: A Combinatorial Approach to Matrix Theory and Its Applications (Hardback)

$73.75

"Unlike most elementary books on matrices,

**A Combinatorial Approach to Matrix Theory and Its Applications**employs combinatorial and graph-theoretical tools to develop basic theorems of matrix theory, shedding new light on the subject by exploring the connections of these tools to matrices." — From the back cover#### Numerical Solution of Stochastic Differential Equations (Hardback)

$71.49

"The book provides an introduction to stochastic calculus and stochastic differential equations, in both theory and applications, emphasising the numerical methods needed to solve such equations." — From the back cover

#### The Art of Probability for Scientists and Engineers (Softcover)

$63.95

"The fact that probability theory is increasingly being used to make important decisions is a further incentive for examining the theory carefully. I have witnessed very important decisions being made that were based on probability, and as a citizen I have to endure the consequences of similar decisions made in Washington, D.C., and elsewhere; hence, I feel that anything that can clarify and improve the quality of the application of probability theory will be of great benefit to our society." — Richard W. Hamming, U.S. Naval Postgraduate School and Author

#### Analytic Combinatorics (Hardback)

$59.29

"The book can be used as a reference for researchers, as a textbook for an advanced undergraduate or a graduate course on the subject, or for self-study." — From the back cover

#### Graduate Texts in Mathematics: Introduction to Cyclotomic Fields, Second Edition (Hardback)

$57.95

"

*Introduction to Cyclotomic Fields*is a carefully written exposition of a central area of number theory that can be used as a second course in algebraic number theory." — From the back cover#### Multilevel Block Factorization Preconditioners: Matrix-based Analysis and Algorithms for Solving Finite Element Equations (Hardback)

$54.95

"This monograph is the first to provide a comprehensive, self-contained and rigorous presentation of some of the most powerful preconditioning methods for solving finite element equations in a common block-matrix factorization framework." — From the back cover