Abstract
OF a third edition we need only remark that it is a carefully revised issue of the second, and point out the few important additions that have been made. In the discussion of Frullani's theorem (§ 119), a simple shape of the formulae, due to Mr. E. B. Elliott, is given, and reference made to other articles on multiple definite integrals by the same gentleman (and by Mr. Leudesdorf) in the Educational Times (1875) and in the Proceedings of the London Mathematical Society, 1876–7. A new article (119a) gives a proof of a simple character, by Zolotareff, of the remainder in Lagrange's series. § 147 contains a remarkable extension of Holditch's theorem, due to Mr. Elliott (Mess. of Math. February, 1878), and § 147a gives the “singularly elegant” theorem discussed by Mr. Kempe (Mess. of Math. July, 1878), to which reference is made in Prof. Minchin's letter in NATURE (December 23, 1880), in which he proves these theorems from other considerations. Various insertions of a minor character increase the volume by more than twenty pages. A good feature of the present edition is an index at the end of the work.
An Elementary Treatise on the Integral Calculus, containing Applications to Plane Curves and Surfaces; with numerous Examples.
By B. Williamson. (London: Longmans, 1880.)
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An Elementary Treatise on the Integral Calculus, containing Applications to Plane Curves and Surfaces; with numerous Examples . Nature 23, 241 (1881). https://doi.org/10.1038/023241a0
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DOI: https://doi.org/10.1038/023241a0