Blog

Welcome to the blog! Posts on this blog will tagged with a level to signify how much mathematics or physics I assume the reader knows. The levels work as follows:

  • Level 0: High school algebra/physics
  • Level 1: Calculus/ first course in Physics with calculus
  • Level 2: University-level mathematics/physics
  • Level 3: Graduate-level mathematics/physics

When is a Pi not a Pi?

In this level-0 post celebrating Pi Day, we are talking all about circles in weird spaces! In particular, when is the ratio of the circumference of a circle to its diameter not equal to 3.14159(etc)? Ceci n’est pas une pi, as they say.

The Demons that Haunted Maxwell

In this level-0 post, we take a look at some interesting thought experiments in thermodynamics, in particular the various incarnations of Maxwell’s demon. These were constructed as possible ways to subvert the second law of thermodynamics, and here we will talk about why they don’t.

Black Holes Win Again!

In this level 0 post, we take a look at one of the contributions of recent Nobel prize-winner Sir Roger Penrose. In particular, we’ll discuss the famous spacetime diagrams which bear his name.

Root-finding Fractals II

In this level 0 post, we revisit Newton’s method and the fractals it creates, but this time, we focus on generalizations of Newton’s method. This one’s for the people who love to look at fractals.

Crossing the Street – Pt. 3

In this final part to our level 2 mathematical modelling series, we move to a different way of solving our street crossing problem: numerics. We go over discretization of the problem, how to simulate it, and compare with results from part 2.

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