“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 ...

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 ...

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 ...

What is it that makes Euler's identity, e]iPi + 1 = 0, so special? In Euler's Pioneering Equation Robin Wilson shows how this simple, elegant, and profound formula links together perhaps the five most ...

Why is it that particular equations, formulas and expressions become icons, asks Robert P Crease For some people this expression, named after the 18th-century Swiss mathematician Leonhard Euler, even ...