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Divergent Series

Edition: 
2
Publisher: 
American Mathematical Society
Number of Pages: 
396
Price: 
49.00
ISBN: 
0821826492
Date Received: 
Monday, June 26, 2006
Reviewable: 
Yes
Include In BLL Rating: 
Yes
G. H. Hardy
Publication Date: 
1992
Format: 
Hardcover
Category: 
Textbook
BLL Committee
08/30/2010
BLL Rating: 

  • 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
  • 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
Publish Book: 
Modify Date: 
Monday, August 30, 2010

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