Abstract
American Journal of Mathematics, vol. xvii. No. 2 (Baltimore, April 1895).—A method for calculating simultaneously all the roots of an equation, is a paper by Dr. E. McClintock, which was read before the American Mathematical Society on August 14 and October 27, 1894. It opens with the application to an example employed by Spitzer and by Jelinek. The calculations of these mathematicians can only be done for a pair of roots at a time, and that with considerable difficulty. The method employed by our author is fairly facile. Very little has hitherto been done in the direction of this memoir, which is one of great value in the subject of algebraic equations. The writer discusses eleven examples at length, the highest degreed equation being one of the sixth degree in x.—Sur le logarithme de la fonction gamma, by Hermite, is a note upon Raabe's integral, in continuation of an article in the Math. Annalen (41, p. 581).—Sur la pression dans les milieux diélectriques ou magnétiques, by Prof. P. Duhem, corrects an error in his “Leçons sur l'Electricité et le magnétisme,” and is a valuable working out of the theory of the pressures, initiated by Clerk Maxwell, and further improved by von Helmholtz, Kirchhoff, and other writers. The number closes with an article on ternary substitution-groups of finite order which leave a triangle unchanged, by H. Maschke. This paper is complementary to C. Jordan's “Sur les équations, differentielles linéaires à integrale algébrique,” and “Sur la détermination des groupes d'ordre fini contenues dans le groupe linéaire.”
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Scientific Serials. Nature 52, 70 (1895). https://doi.org/10.1038/052070b0
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DOI: https://doi.org/10.1038/052070b0