Articles in category Mathematics:

Solve math homework with Python

Since my days as a physics student, I have been dreaming about replacing tedious pencil and paper calculations completely by computer algebra, ideally in Python. This is the first part …

July 2, 2023

The Method of Manufactured Solutions

Constructing Unknowable Numerical Solutions for Precise Comparisons

When solving numerical problems like partial differential equations, knowing how accurate your solution is is always important. But how can you know if you don’t have the exact solution for …

June 25, 2023

Science Is Just Matrix Multiplication

Really, so do it wisely!

Recently, I was a guest at a seminar, where one Ph.D. student gave a presentation about some topic in physics. That student proudly claimed that he had managed to speed …

June 11, 2023

Polynomials Are Not What You Think They Are

Python Meets Abstract Algebra

At school, and also often as undergraduates at college, we learn that polynomials are things …

June 4, 2023

Why the Laplacian is Everywhere

An intuitive explanation

Have you ever wondered why the Laplacian is so ubiquitous in physics and engineering? I’ve heard many explanations, many of which refer to symmetry considerations, but there is one argument …

April 23, 2023