Derivation of the brachistochrone curve using variational calculus. Discussing its tautochrone property.

With the least-action-principle and Lagrangian mechanics to Newtonian mechanics.

Part 2 of the Lagrange-Hamilton-series. Summary on how to find minima and maxima of multi-dimensional functions, introducing partial derivatives and the gradient.

Suppose you know your own location on earth as latitude and longitude and you have a destination's latitude and longitude. What is the heading on a compass you have to follow in order to approach your destination on the shortest possible path?

Sums are something we regularly need in every-day-calculations, as well as in science. In this article, we will derive explicit formulas for some common cases.

Part 1 of the Lagrange-Hamilton-series. Summary on how to find minima and maxima of one-dimensional functions using tangents or derivatives, respectively.

Demonstrating the maximum entropy principle using a die as an example.

Calculation of the parabolic mirror equation.

What is going on with the glowing gherkin? Introducing a highly simplified model to explain, while the gherkin glows only on one end.

Why the minima of a slit's interference pattern are seen under the same angle as with an obstacle of same width.