Welcome to this five-part series of posts: Parts Topics Part 1 (Bilinear Products) tensors, bilinear products Part 2 (Algebras Over Fields) linear maps, algebra, degrees of freedom Part 3 (Complex Numbers and Quaternions) complex numbers, quaternions, g...

The war (Disclaimer: All events narrated in the ‘bar’ are fictional. Any historical inaccuracies are intentional.) Two men walk into a bar. They enter just in time, for it starts raining heavily. One man is rather small. “I’m a point Charge”, says he. The other looks athletic. Almost sprinting, he shouts, “I’m Current”. The two men then glar...

What is the gamma function about? About 300 years ago, the influential mathematician Leonhard Euler solved the problem of extending the factorial function to non-integers. He originally found an infinite product representation, which he soon expressed in the integral form, [\displaystyle{ z! = \int_0^1 \left( - \ln u \right)^z du }] By the su...