Before being mortally wounded in a duel at age 20, Évariste Galois discovered the hidden structure of polynomial equations. By studying the relationships between their solutions — rather than the ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...

SIAM Journal on Numerical Analysis, Vol. 11, No. 6 (Dec., 1974), pp. 1087-1104 (18 pages) A composite algorithm has been designed for finding zeros of real polynomials. The algorithm has proved to be ...

We show that the binary expansions of algebraic numbers do not form secure pseudorandom sequences; given sufficiently many initial bits of an algebraic number, its minimal polynomial can be ...