Abstract
Bulletin of the American Mathematical Society, vol. i. No. 7, (April 1895).—“Riemann and his significance for the development of modern mathematics,” is the translation, by A. Ziwet, of an address delivered by Prof. F. Klein at the general session of the Versammlung Deutscher Naturforscher und Aerzte in Vienna, September 27, 1894. In it the author attempts to give an idea of the life-work of Bernhard Riemann, “a man who more than any other has exerted a determining influence on the development of modern mathematics.”—Prof. Cajori contributes a note on the multiplication of semi-convergent series, in which, following up his work in a recent number of the Bulletin, he further extends results arrived at by Pringsheim (Math. Ann. vol. xxi. pp. 327—378) and by A. Voss (Math. Ann. vol. xxiv. pp. 42-47).—Mr. L. E. Dickson discusses Gergonne's Pile Problem (cf. Ball's “Recreations,” pp. 101-6), and points out one or two slight inaccuracies in a proof given by Dr. C. T. Hudson in Educational Times Reprints, vol. ix. pp. 89-91.—Prof. Ziwet gives an account of the Repertoire bibliographique des Sciences Mathematiques, i.e. a card catalogne of mathematical literature which has been widely circulated amongst mathematicians. Notes, and new publications, as usual, close the number.
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