ResearchBib Share Your Research, Maximize Your Social Impacts
Sign for Notice Everyday Sign up >> Login

SOLUTION OF THE ALGEBRAIC EQUATIONS OF THE 4th DEGREE IN ?GENERAL ARITHMETICS? OF L. EULER

Journal: Science and world (Vol.1, No. 10)

Publication Date:

Authors : ;

Page : 98-101

Keywords : algebra textbook; general arithmetics; Leonhard Euler; algebraic equations; solution of the equations; method of Descartes-Euler.;

Source : Downloadexternal Find it from : Google Scholarexternal

Abstract

The work on the algebra of Leonhard Euler under the title "General Arithmetics" (1768-1769) that more than half century was the main textbook of algebra is examined in the article. The main methods of the solution of the algebraic equations of the fourth degree are briefly analyzed: polynomial factoring standing in the left-hand side of the equation; Ferrari's solution; the method developed by Euler with use of substitutions of Descartes. The some iterative methods for the solution of the equations of the highest degrees are noted.

Last modified: 2015-09-08 21:17:59