Add to ORKGFor an equation of degree n, Euler wants to define a resolvent equation of degree n-1 whose roots are related to the roots of the original equation. Thus, by solving the resolvent one can solve the original equation. In sections 2 to 7 he works this out for quadratic, cubic, and biquadratic equations. In section 8 Euler says that he wants to try the same approach for solving the quintic equation and general nth degree equations. In the rest of the paper he tries to figure out in what cases resolvents will work
This report studies polynomial equations and how one solves them using only the coefficients of the ...
Summary. In this article, the principal n-th root of a complex number is defined, the Vieta’s formul...
Summary. In this article, the principal n-th root of a complex number is defined, the Vieta’s formul...
For an equation of degree n, Euler wants to define a resolvent equation of degree n-1 whose roots ...
For an equation of degree n, Euler wants to define a resolvent equation of degree n-1 whose roots ...
For an equation of degree n, Euler wants to define a resolvent equation of degree n-1 whose roots ...
For an equation of degree n, Euler wants to define a resolvent equation of degree n-1 whose roots ...
Euler searches for integer solutions to axx+bx+c=yy and considers some applications to figurate numb...
AbstractFor any univariate polynomial with coefficients in a differential field of characteristic ze...
The present dissertation analyses Leonhard Euler´s early mathematical work as Diophantine Equations,...
Euler was the first to use partitions of forms into genera in his studies on the law of quadratic re...
This paper begins with an expression of the trapezoid rule for formal mechanical quadrature. Euler...
Summary. In this article, the principal n-th root of a complex number is defined, the Vieta’s formul...
Summary. In this article, the principal n-th root of a complex number is defined, the Vieta’s formul...
Niels Henrik Abel, in the 19th century, demonstrated that for n>4 there are no analogous formulas to...
This report studies polynomial equations and how one solves them using only the coefficients of the ...
Summary. In this article, the principal n-th root of a complex number is defined, the Vieta’s formul...
Summary. In this article, the principal n-th root of a complex number is defined, the Vieta’s formul...
For an equation of degree n, Euler wants to define a resolvent equation of degree n-1 whose roots ...
For an equation of degree n, Euler wants to define a resolvent equation of degree n-1 whose roots ...
For an equation of degree n, Euler wants to define a resolvent equation of degree n-1 whose roots ...
For an equation of degree n, Euler wants to define a resolvent equation of degree n-1 whose roots ...
Euler searches for integer solutions to axx+bx+c=yy and considers some applications to figurate numb...
AbstractFor any univariate polynomial with coefficients in a differential field of characteristic ze...
The present dissertation analyses Leonhard Euler´s early mathematical work as Diophantine Equations,...
Euler was the first to use partitions of forms into genera in his studies on the law of quadratic re...
This paper begins with an expression of the trapezoid rule for formal mechanical quadrature. Euler...
Summary. In this article, the principal n-th root of a complex number is defined, the Vieta’s formul...
Summary. In this article, the principal n-th root of a complex number is defined, the Vieta’s formul...
Niels Henrik Abel, in the 19th century, demonstrated that for n>4 there are no analogous formulas to...
This report studies polynomial equations and how one solves them using only the coefficients of the ...
Summary. In this article, the principal n-th root of a complex number is defined, the Vieta’s formul...
Summary. In this article, the principal n-th root of a complex number is defined, the Vieta’s formul...