Shiny Pebbles and other stuff

I'll post to no particular schedule on whatever currently catches my interest. It'll probably be mostly maths or maths-related stuff.

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Saturday, 25 May 2019

A second look at complex differentiation

What does it mean to differentiate a complex function? If we have a complex function, \[ f:\mathbb{C} \to \mathbb{C},...

Monday, 29 April 2019

Cauchy and the (other) mean value theorem.

I just realised that there's a neat relationship between Cauchy's integral formula and the mean value theorem for...

Tuesday, 23 April 2019

Trig functions with (almost) no triangles

In this post I'm going to look at what we can say about the trigonometric functions, \(\sin\) and \(\cos\) without act...

Thursday, 21 March 2019

Solar garbage disposal.

Why can't we drop our dangerous waste into the sun? It's tempting to consider getting rid of dangerous (or u...

Monday, 11 March 2019

A matter of weight

What do you weigh? More to the point, what does that mean? What is weight? What it isn't: mass Like many people...

Monday, 17 September 2018

What's a number? 3 - in an orderly manner

Why is infinity plus 1 bigger than 1 plus infinity? What about infinity times 2 and 2 times infinity? It all depends, on ...

Saturday, 21 July 2018

What is school mathematics for?

What is the purpose of school mathematics? I have opinions… Here I shall mostly be ranting about what I think school math...

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