Bayesian Statistics

What is Bayesian Statistics?

A single, basic example: fully explained.

Analysis

An Elementary Proof of the Fundamental Theorem of Algebra

Using only elementary methods we will prove the Fundamental Theorem of Algebra. Along the way, we’ll befriend some key ideas from…

Logic

Why Empty Logic Leads to the Liar Paradox

Many philosophers and logicians have analysed the forms of arguments and shown us that the same forms occur across many different cases…

Newton

What Did Newton Do with his Time During Quarantine?

Newton’s Notes on Calculus During the Great Plague of London and Letter to Leibniz

Graph Theory

Solving a Handshaking Problem using Recursion

Let’s solve a nice problem brought to my attention by Lawrence Bryan. Thank you Lawrence :)

Game Theory

The El Farol Bar Problem

“Oh that place. It’s so crowded nobody goes there anymore.” — Yogi Berra

Complex Analysis

Proving The Cauchy-Goursat Theorem

Let’s prove a beautiful Theorem from complex analysis!! For the determined amateur with some knowledge of 12th grade math and calculus.

Calculus

Solving the Gaussian Integral

Lord Kelvin wrote of this integral: “A mathematician is one to whom that is as obvious as that twice two makes four is to you. Liouville…

Statistics

Leading Digits and Benford’s Law

An intuitive way to understand Benford’s Law and how it applies to the powers of two

Biography

Interview with Mathematician Ken Ono

I recently had the privilege of interviewing Ken Ono, one of the most brilliant Mathematicians in the world. Not only has he made huge…

Physics

The Einstein-Szilárd Letter (1939)

The now famous Einstein-Szilárd letter was written at the initiative of Hungarian nuclear physicist Leó Szilárd with help from Edward Teller and Eugene Wigner in 1939.

Geometry

Supplementary Angle Identities

Whenever two angles add up to π.