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" Divergent series / "
by G.H. Hardy.
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BL
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| Record Number
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1036896
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| Doc. No
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b791266
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| Main Entry
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Hardy, G. H., (Godfrey Harold),1877-1947
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| Title & Author
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Divergent series /\ by G.H. Hardy.
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| Edition Statement
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Second (textually unaltered) edition.
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| Publication Statement
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New York, N.Y. :: Chelsea Publishing Company,, 1991.
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| Page. NO
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xvi, 396 pages ;; 24 cm
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| ISBN
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0821826492
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: 0828403341
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: 9780821826492
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: 9780828403344
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| Bibliographies/Indexes
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Includes bibliographical references (pages 387-389) and index.
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| Contents
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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.
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| Subject
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Divergent series.
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| Subject
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Divergent series.
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Séries divergentes.
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| Dewey Classification
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515/.243
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| LC Classification
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QA295.H29 1991
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| NLM classification
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*01A75msc
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17,1ssgn
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40-01msc
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40-03msc
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