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Divergent Series

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ISBN-10: 0821826492

ISBN-13: 9780821826492

Edition: 2nd

Authors: G. H. Hardy

List price: $55.00
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From the Preface by J. E. Littlewood: "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 well he 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 he had at one time or another lectured on everything in the book except Chapter XIII [TheEuler-MacLaurin sum formula] ... [I]n the early years of the century the subject [Divergent Series], while in no way mystical or unrigorous, was regarded as sensational, and about the present title, now colourless, there…    
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Book details

List price: $55.00
Edition: 2nd
Publisher: American Mathematical Society
Publication date: 4/30/2000
Binding: Hardcover
Pages: 396
Size: 6.50" wide x 9.50" long x 1.25" tall
Weight: 1.892
Language: English

Introduction
Some historical examples General theorems
Special methods of summation Arithmetic means (1) Arithmetic means (2)
Tauberian theorems for power series
The methods of Euler and Borel (1
The methods of Euler and Borel (2)
Multiplication of series Hausdorff means
Wiener's Tauberian theorems
The Euler-MacLaurin sum formula
On the evaluation of certain definite integrals by means of divergent series
The Fourier kernels of certain methods of summation
On Riemann and Abel summability
On Lambert and Ingham summability
Two theorems of M. L. Cartwright
List of books
List of periodicals
List of authors
List of definitions General
Index