points 1 and 2 lie on a streamline, the fluid has constant density, the flow is steady, and there is no friction. Although these restrictions sound severe, the Bernoulli equation is very useful, ...

Jakob Bernoulli, head of a dynasty of brilliant scholars, was one of the world's leading mathematicians. His great work, Ars Conjectandi, published in 1713, included a profound result that he ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

We continue the study of the Floquet (spectral) theory of the beam equation, namely the fourth-order eigenvalue problem $[a(x)u^{\prime \prime}(x)]^{\prime \prime}=\lambda \rho (x)u(x),\quad \quad ...

Bernoulli's equation is a simple but incredibly important equation in physics and engineering that can help us understand a lot about the flow of fluids in the world around us. It essentially ...