Geometry
The Hidden Life of Circles
Everyone knows that circles are quite simple figures, but from the perspective of number theory they have many secrets inside.
Bogdan Melnik
Group Theory
The Power of Invariants
We can find invariants in many branches of mathematics. Let us try to use the theory of invariants to solve a few popular brainteasers.
Modular Arithmetic
Solving Infinite with Finite
Mathematics has a lot of hidden gems. Today I will try to give us a glimpse to one of the vast domain — modular arithmetics.
Analysis
Pythagorean Triples and Other Beasts
I never thought that I would write math stories in English, but I also never thought that I would live in the UK either.