Probability Theory
How to Win at Roulette: Intro to Probabilities and Expected Values
Why you still shouldn’t play. The Martingale Strategy
Latest
Complex Analysis
What are Modular Forms?
The Strange Functions Used to Solve Fermat’s Last Theorem
Infinity
Problems with infinity*
I had the pleasure of witnessing this interaction the other day: two kids were locked in a battle of wits to see who could think of the…
Mathematics
Proving Arrow’s Impossibility Theorem
Let’s prove the result behind why group decisions, from democracy to take-away choice, are always flawed.
History
The Mathematical Center of the Universe
The inception of quantum mechanics can essentially be traced back to a single “Golden Age” in the mid-1920s at one university: the Georg-August University of Göttingen, in the city of Göttingen in Germany.
Group Theory
The Rubik’s Icosahedron and the Mathieu Group M12
Modeling this construction using GAP
Calculus
Rediscovering the Euler-Lagrange Equation
For the determined amateur
Physics
Black Holes, explained
What they are, how they form, types & shapes, and how they die
Mathematics
1988 IMO Question Six
Solving the Hardest Problem on the Hardest Test
Feynman
Richard Feynman on the Differences between Mathematics and Physics
“I would like to make a number of remarks on the relation of mathematics and physics”
Number Theory
The History of Euler’s Number (e)
From Napier Table’s To Bernoulli’s Compounding Interest
Review
Review: “Is God A Mathematician” by Mario Livio
Livio does not intend the title as a theological question. He is instead referring to two questions concerning the mysterious effectiveness...