Abstract
A COMPREHENSIVE collection of series and their sums would be invaluable to the university teacher, the research worker, or the technician, according to the principle guiding the selection, but an attempt to cater for all parties must necessarily spell failure. The present volume, containing about seven hundred series, is well arranged and includes individual types easy of reference. The series are set out clearly on one page, and the sum on the page facing. In spite of the compiler's intentions, we believe the collection will be of value mainly to the not too advanced student. Fourier series, Bessel functions, and elliptic functions are treated in cursory fashion, although quite a number of Fourier series are classified under the heading of trigonometric series. The general expression for Fourier coefficients does not appear to be given. It is eminently desirable that the limits of the variable within which the series is a valid representation of its “sum” should be systematically stated-a dangerous omission if the collection is intended for the use of the technician.
Summation of Series.
Collected by L. B. W. Jolley. Pp. xi + 232. (London: Chapman and Hall, Ltd., 1925.) 13s. 6d. net.
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Summation of Series . Nature 116, 816 (1925). https://doi.org/10.1038/116816c0
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DOI: https://doi.org/10.1038/116816c0