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Divergent Series

G. H. Hardy
Publisher: 
American Mathematical Society
Publication Date: 
1992
Number of Pages: 
396
Format: 
Hardcover
Edition: 
2
Price: 
49.00
ISBN: 
0821826492
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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  • 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

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