The Celebrated Harmonic Numbers and How to Approximate Them We discuss the famous harmonic sum and describe a simple way to approximate it.
The Coupon Collector Problem We discuss the well-known Coupon Collector problem, and provide two ways of computing the probability of winning.
Mathematical Induction: The Domino Effect in Natural Numbers We discuss the concept of mathematical induction on the natural numbers and give some examples.
The Infinity of Primes We present two proofs of one of the great theorems in number theory, namely that there are infinitely many primes.