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) …
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 …
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 …
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 …
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 …