Articles in category Mathematics:

The Tip of the Cartesian Leaf

Today’s problem is about the Cartesian leaf, named after the great mathematician and philosopher René Descartes. In 1638, Descartes challenged Pierre de Fermat (yes, the one with the famous theorem) …

Dec. 3, 2023

Using Laplace Transforms in Python to Solve Differential Equations

Last time, we played with the Laplace transform and its inverse in Python. Today, we’ll use that knowledge to solve differential equations.

Suppose we have the differential equation

for the …

Nov. 12, 2023

Laplace Transforms in Python

Throughout my student days, I tried my best to avoid using the Laplace transform. What a pity, as it’s such a powerful tool! The reason why I disliked the Laplace …

Nov. 5, 2023

How To Create Differentiation Matrices

Suppose we have function 𝑓 given on an equidistant grid

and we want to compute the derivative of that function on the same grid. Last week, I have written some …

Oct. 29, 2023

Polynomial Interpolation Made Easy

The Lagrangian way of doing interpolation

Wow, this is my 100th story! As a topic, I have chosen something about one of my favorite mathematicians… or should I say, physicists? I’m talking about Joseph-Louis Lagrange.

It’s …

Oct. 22, 2023