Mathematics
The Black-Scholes formula, explained
Introduction to the most famous equation in finance
Mathematics
Mathematics
Turing Uncomputability
“As Leibniz suggested, we appear to live in the best of all possible worlds, where the computable functions make life predictable enough to be survivable ...
Mathematics
The Poincaré Conjecture (1904)
The shape of the universe as it was, is now and may become in the future is very hard for us to discern empirically. Einstein helped us somewhat by showing us that matter and energy (three-dimensional phenomena) in fact may interact with the a four-dimensional phenomenon: time
Mathematics
Taylor’s Theorem
Approximating functions near points. It’s cooler than it sounds, trust me.
Mathematics
The Beautiful Life of John Forbes Nash, Jr.
“He was so incredibly himself” — Herta Newman
Mathematics
Relaxation Methods
An introduction to relaxation algorithms for applications in physics.
Physics
The Navier-Stokes Equations
Math for continuum mechanics, part 1.
Mathematics
Introduction to Group Theory
An introduction to abstract algebra with no prerequisites, and a computer science application.
Mathematics
The Basics of Big-O and Sorting Algorithms
What is “Big O”?
Mathematics
Understanding the Monty Hall Problem
I was recently listening to a podcast that was recommended by a blogger on this site, and during one episode discussing big-O theory, the…
Mathematics
Maxwell’s Equations
A gentle introduction
Mathematics
The Prime Numbers Cross: Hint of a Deeper Pattern?
I have always been fascinated with “origins”: the origin of life on Earth, the origin of human beings, the origin of the Universe, and of…