Theorie der algebraischen Gleichungen

    Abstract

    THE author tells us that this work owes its origin to the lectures he has given on the theory of equations at the Copenhagen Polytechnic School. In the preparation of it he has made use of J. A. Serrêt's “Cours d'Algèbre Supérieure,” Todhunter's “Theory of Equations,” and Jordan's “Traité des Substitutions.” The first section treats of equations in general; Cap. I. general properties of algebraic equations; Cap. II. relations between the coefficients and roots; Cap. III. on elimination, describing the methods of Labatie, of Euler, of Sylvester, of Bezout, and of Poisson; Cap. IV. the transformation of equations. The second section is devoted to the algebraic solution of equations, viz., of the cubic (the methods of Hudde, Lagrange, Tschirnhausen, and Euler); of the biquadratic (the methods of Lagrange, Descartes, and others); the binomial equation, the Ouintic, the breaking-up of a rational polynomial into rational factors, Abelian equations (a long chapter, including the division of a circumference into seventeen equal parts, and the reduction of the equation x13=1).

    Theorie der algebraischen Gleichungen.

    Von Dr. Jul. Petersen. xii. and 335 pp. (Kopenhagen, 1878.)

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    Theorie der algebraischen Gleichungen . Nature 19, 3 (1878). https://doi.org/10.1038/019003a0

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