Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

In a previous paper, we have mathematically derived the Schrödinger equation using the construct of a Characteristic Function. We have shown that this derivation has a great number of consequences and ...

Maxwell’s equations are fundamental tools for electric and magnetic fields, while Maxwell’s relations focus on thermodynamic quantities like temperature, pressure, volume, and entropy. For more on ...

Gauss’s law for electricity, Gauss’s law for magnetism, Faraday’s law of induction, and Ampère’s circuital law are the foundations of Maxwell’s equations. But Maxwell saw what wasn’t there. He added a ...

In 1900, at the grand amphitheater of the Sorbonne in Paris, David Hilbert stood before a crowd of mathematicians and delivered a speech that would echo through the next century. He outlined 10 — and ...

When you think of art, you might think of portraiture, landscapes, or other kinds of paintings. But mathematics can feel artistic at times, too. We’ve all seen gorgeous Mandelbrot fractals, and less ...

James Clerk Maxwell’s theory of the electromagnetic field is rightly regarded as one of the great achievements of 19th century science, and “Maxwell’s equations” have long held an honored place in ...