Scientific Serial

Abstract

Bulletin of the American Mathematical Society, May.—The number opens with four papers read before the Society at the dates annexed: On the geometry of the circle, by Dr. V. Snyder (December 28, 1899); isomorphism between certain systems of single linear groups, by Prof. L. E. Dickson (February 24); the Hessian of the cubic surface ii., by Dr. J. I. Hutchinson (February 24); and note on the group of isomorphisms, by Dr. G. A. Miller (February 24). These papers are short and, in the main, continuations of work previously published by the authors.—Prof. F. S. Woods contributes an interesting sketch of a German translation, by F. Engel, of two articles by Lobachevsky, with the titles “Ueber die Anfangsgrunde der Geometric” and “Neue Anfangsgriinde der Geometrie mit einer Vollständigen theorie der Parallel-linien.” The reviewer's conclusion is that, “while it is remarkable that the solution of a two-thousand-year-old problem should be given almost simultaneously by three men, it should be remembered that these three were not the only mathematicians who had worked upon the problem. More than one had missed the solution by a hair's breadth only; Lobachevsky, Bolyai and Gauss succeeded in finding it.”—Other notices are Vogt's “Algebraic solutions of equations,” by J. Pierpont; the elements of the differential and integral calculus, based on the work by Nernst and Schonflies (translated by W. A. Young and C. E. Linebarger), by L. E. Dickson; and E. Pascal's “Die Variations-rechnung,” by J. K. Whittemore.—University and general mathematical information come into the “Notes” and “New Publications.”