
The Life and Times of Gottfried Leibniz
The field of mathematics is a wonderful and diverse place. If you have explored it, you will probably have noticed that people who practice mathematics are known as “mathematicians” or “math people”. Now, it may help if I clarify that there are two types of mathematicians. There are the first type, mathematicians who work in…

The Cantor Ternary Set
This is the Cantor ternary set. As you can see, it is formed from a line segment. (It is slightly thickened here so you can see it better.) It has no length. But it has infinitely many points. Let me explain. This is how you make the picture above: Take a line segment. Remove the…

A Man, a Mystery, and a Million Dollars: A Brief History of the Riemann Hypothesis (part 2)
(part one can be found here; it is highly recommended that you read it before coming here) Now: a history of this hypothesis. Introducing: Bernhard Riemann! Riemann is the guy behind the Riemann hypothesis. He did some other things in math too apart from that (the phrase Riemann integral may leap to mind for calculus…

A Man, a Mystery, and a Million Dollars: A Brief History of the Riemann Hypothesis (Part 1)
If you’ve ever heard of the phrase “Riemann hypothesis” and wondered what it meant, then worry no more! This series of posts shall explain all. And if you haven’t heard of the phrase “Riemann hypothesis”, then worry no more! Now you have. To understand the Riemann hypothesis, first you must understand the Riemann zeta function.…

Everything You Need to Know to Know About Quaternions
You’ve heard of the complex numbers, which act as extensions of the real numbers that let us take square roots of negative numbers. But have you heard of quaternions? Quaternions are an extension of the complex numbers. It creates three units: , , and . These basic quaternions have…