To Geometry!

Hells yeah — a tesseract!

To Metric and Hilbert Spaces!

The man responsible for this subject…and a metric crapton of other maths: David Hilbert!

To Number Theory!

Ladies and Gentlemen, one of the greatest living minds in the world today: Terry Tao.

It’s algebra, but not as you remember it… (Part I)

When you think of algebra, what do you think of? For most people, I’d wager that things like factorizing polynomials… …the quadratic formula, i.e. the solutions to the equation is given by… …and maybe also the binomial theorem… . Now, there’s no doubt that these formulae find a comfortable home under the label of ‘algebra’ [...]

The Basics of Complex Analysis

Given that so far all I’ve discussed studying at university is physics, you’d be forgiven for being a bit confused — particularly given the maths focus of this blog. Really, all I’ve done is get the second year level physics out of the way so that we can finish on the really fun stuff: Third [...]

What’s so special about relativity?

So, from the very very small of quantum mechanics we shoot off to the very, very fast of Einsteinian relativity. When people talk about Einstein’s theory of relativity they often distinguish between the special and general theories of relativity — the former of which can be thought of as a subset of the latter. Relativity [...]

Exam results are out…

…and I passed all my subjects. Well, I did better than pass, actually, though still not as well as I would have liked. Still, it is cause for a celebration:

A teensy clarification regarding quantum mechanics…

In my article on quantum mechanics I made the following correct, but imprecise point: Quantum objects can be described in terms of ‘wavefunctions’, typically denoted when the function depends on position and time, and  when it only depends on position. This wavefunction is related to the probability that a particle can be found in a particular [...]

It’s a quantum thing…

You’d be hard pressed to find a more abused scientific discipline than quantum mechanics. It’s been co-opted by theologians, new age proponents, quacks, cranks and charlatans to promote everything from god to crystal healing. Deepak Chopra has personally taken quantum mechanics roughly in the country custom so often we should be taking him to The [...]

Classically trained.

From thermal physics, which was undoubtedly my least favourite subject this semester, we forge boldly forward into what ranks as one of my favourite subjects at university thus far — the study of Classical Mechanics. Anybody who did high school science will probably remember having done something that falls under the umbrella of classical mechanics [...]