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 …
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 …
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 …
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 …
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 …