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 ...

Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major ...

A mathematician has solved a 200-year-old maths problem after figuring out a way to crack higher-degree polynomial equations without using radicals or irrational numbers. The method developed by ...

New research details an intriguing new way to solve "unsolvable" algebra problems that go beyond the fourth degree – something that has generally been deemed impossible using traditional methods for ...

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 ...

The Abhyankar-Sathaye Problem asks whether any biregular embedding $\varphi \colon {\Bbb C}^{k}\hookrightarrow {\Bbb C}^{n}$ can be rectified, that is, whether there exists an automorphism α ∈ Aut Cn ...

Logical Math Riddles for Class 9: There’s no better workout for the brain than an intricate question. Have you ever noticed yourself spending hours scratching your head on a riddle, brain teaser or a ...

MUCH use is made in combinatorial problems of generating functions in the form of polynomials and infinite power series, these being obtained by the manipulation of other algebraic expressions. In ...

Let p be a prime number and let GLn be the group of all invertible matrices over the prime field Fp. It is known that every irreducible GLn- module can occur as a submodule of P, the polynomial ...

With the advent of the iPhone and iPad, new apps have come out of the woodwork. Educational apps for kids take up a huge piece of the market. And, I swear, half of those are ABC apps. But, among the ...