Showing posts from August, 2016

For the love of Spherical Harmonics

I hate starting every blog post with an apology as I have been busy, but I have. But I have. Teaching Electromagnetism to our first year class, computational physics using MatLab, and six smart talented students to wrangle, takes up a lot of time.

But I continue to try and learn a new thing every day! And so here's a short summary of what I've been doing recently.

There's no secret I love maths. I'm not skilled enough to be a mathematician, but I am an avid user. One of the things I love about maths is its shock value. What, I hear you say, shock? Yes, shock.

I remember when I discovered that trigonometric functions can be written as infinite series, and finding you can calculate these series numerically on a computer by adding the terms together, getting more and more accurate as we add higher terms.

And then there is Fourier Series! The fact that you can add these trigonometric functions together, appropriately weighted, to make other functions, functions that look …