Articles in category mathematics:

Numerical Derivatives Done Right

Recently I have found this article giving a nice first introduction of how to do differentiation numerically. But can you do it with more accuracy and in higher dimensions? Texts …


From Euclid to Python

A Computational Look at Perfect Numbers

Perfect numbers are integer numbers which are equal to the sum of their proper divisors. For instance, 6 has the proper divisors 1, 2 and 3. And 1+2+3 = 6. …

Sept. 24, 2023

Pick's Theorem

A Remarkably Simple Way to Calculate Areas of Any Polygon on a Grid

In the world of mathematics, every so often, we stumble upon ingenious theorems that leave us marveling at the elegance and simplicity with which they solve problems. One such gem …

Aug. 6, 2023

All You Need To Know About Bessel Functions

Those were the days when an astronomer could still make substantial contributions to mathematics! Bessel functions, first introduced by the German astronomer Friedrich Bessel in the early 19th century, are …


Integration by Differentiation

We all have a foundational understanding from high school that integration is the opposite of differentiation, as it's the inverse operation. That's an accurate notion. But there's a lesser-known aspect …

July 16, 2023