“Gentlemen, that is surely true, it is absolutely paradoxical; we cannot understand it, and we don’t know what it means. But we have proved it, and therefore we know it must be the truth.” —Benjamin ...

Quarterly of Applied Mathematics, Vol. 67, No. 2 (June 2009), pp. 327-341 (15 pages) A wide class of linear ordinary differential equations reducible to algebraic equations is studied. The method for ...

For centuries, mathematicians have sought to understand and model the motion of fluids. The equations that describe how ripples crease the surface of a pond have also helped researchers to predict the ...

The Euler equations constitute a fundamental set of hyperbolic partial differential equations that describe the motion of an inviscid fluid. In gas dynamics, these equations are instrumental in ...

This article describes a method for computing approximate equilibria for stochastic dynamic economies. The method is of general interest because it allows straightforward computation of equilibria in ...

When you buy through links on our articles, Future and its syndication partners may earn a commission. Mathematicians have solved a longstanding algebra problem, providing a general solution for ...

Many people find complex math puzzling, including some mathematicians. Recently, a mathematician has found solutions to a puzzle that has been around for centuries. They have found a way to generate ...