Bogdan Melnik – Cantor's Archive

maximios

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.

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.