Hardy, G. H. Divergent series. 2nd (textually unaltered) ed. (English) Zbl 0897.01044 New York, NY: Chelsea. xvi, 396 p. (1991). [The first ed. of this monograph has been reviewed (1949; Zbl 0032.05801).] Contents: 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. Cited in 2 ReviewsCited in 142 Documents MSC: 01A75 Collected or selected works; reprintings or translations of classics 40-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to sequences, series, summability 40-03 History of sequences, series, summability Keywords:Euler; Borel; Hausdorff means; Tauberian theorems; Euler-MacLaurin sum formula; Fourier kernels; Abel summability; Ingham summability; theorems of M. L. Cartwright Citations:Zbl 0032.05801 PDF BibTeX XML Cite \textit{G. H. Hardy}, Divergent series. 2nd (textually unaltered) ed. New York, NY: Chelsea (1991; Zbl 0897.01044) OpenURL