Western civilization woke with a start after the slumbers of the medieval age. Universities in Bologna, Oxford, Salamanca, Paris and elsewhere began to flourish. In the early 16th century, several ...

For centuries, one of algebra’s oldest puzzles has remained unsolved—how to find exact answers for higher-degree polynomials, where the variable is raised to the fifth power or more. Mathematicians ...

THE contents of this volume fall into three clearly marked sections. Chapters 1–4 (pp. 1–105) lead up to the location and calculation of the real roots of a real algebraic equation ; the cubic and ...

We learn at school how to solve polynomial equations of first and second degree, or linear and quadratic equations. In the early 16th century, Italian mathematicians discovered how to solve equations ...

SOME years ago you published some interesting communications in regard to the graphical solution of cubic and quartic equations (vol. lxi. p. 55, vol. lxiii. pp. 515 and 609, vol. lxiv. p. 5). The ...

This is a preview. Log in through your library . Abstract In this paper we prove that a field $Q(^3\surd\overline d)$ is euclidean with respect to the ordinary norm ...

THE roots of algebra, as John Derbyshire tells us, go back to the ancient world: the Babylonians left cuneiform tablets showing simple algebraic problems. Its actual birth is usually credited to ...