Here’re the posts that fall under admittedly enormous category of ‘maths’. The collection is expanding rapidly!
Brachistochrone – what path should a particle take such that it moves between two points in the least time under the influence of gravity?
Catenary Curve – what shape is a cable hanging under its own weight?
The Cusp in the Coffee Cup – can ray optics explain the seagulls in my mug?
Euler-Lagrange Equations – an outline of the origin of the Euler-Lagrange equations.
Euler-Lagrange Equation Trick – a useful relation derived from the Euler-Lagrange equation, called the Beltrami identity.
Exaltin’ Galton – how does the binomial distribution tend towards the normal distribution?
Garland – how much tinsel does it take to decorate a tree?
Geodesics on a Cone – how do you circumnavigate a cone as quickly as possible?
Lagrange Multipliers – an incidental sketch proof of the method of Lagrange multipliers for a single constraint.
Mario Kart Maths: Green Shell Ballistics – where should you drive to avoid green shells? Find out the answer here.
Mario Kart Maths: Red Shell Rumble – think twice before firing that red shell!
Mothematics – why are moths attracted to lights?
Newtonian Pedantics – the real Neil would be spinning in his … planetarium.
Pi and Bouncing Balls – what does have to do with the elastic collisions? Click here to discover a surprising and beautiful result.
Pharaoh – Random Walks – how easily does the bazaar trader get lost?
Puzzle #21 – HP3: The Guards of Azkaban – suggestions for the SI unit of happiness are welcome!
Puzzle #20 – HP2: The Rogue Bludger – radiodromes ahoy!
Puzzle# 10 – Wax Mathematical – a guided foray into the fledgling science of beeometry! Will the puns never end?
Puzzle #8 – Unappealing Puzzle – a little integration never hurts!
Puzzle #6 – Eye in the Sky – a geometric problem more easily said than done.
Puzzle #4 – Deceptively Simple Sequence – the title says it all! A real meaty one which requires more than a little creativity.
Puzzle #1 – Crossed Drive Belt – where it all began. A geometric jaunt to cut your teeth on.
Refraction in Action – an application of the Euler-Lagrange equations in optics, motivated by Fermat’s principle of least time.
Stirling’s Approximation – a clever equation for the logarithm of a factorial.
Sum of Squares – a sneaky way of deriving a classic sum.
Trigonometric and Hyperbolic Substitution – would that I had learnt it sooner!