Unit 22 – PDEs
This is one BIG topic to attempt to cover off in one week but the course notes waste no time in getting down to the wave and diffusion equations, while throwing in all sorts of other bits and pieces.
And that’s what this unit feels like – a bits and pieces introduction to a vast subset of maths. I’d have liked to see this go much deeper.
My video of choice this week:
I’m also sufficiently enthralled by Fourier series to want to have a deeper look at my own leisurely pace, hence I’ve ordered this book, which has rave reviews: http://www.amazon.com/Who-Fourier-Mathematical-Transnational-College/dp/0964350408
To quote one reviewer:
“This book is nothing if not eclectic, and the range of topics discussed is immense.
“If I hadn’t already studied calculus and linear algebra in college I would also, for the first time, understand differentiation, integration, vector spaces, Euler’s formula, Maclaurin series and the number e, all of which are presented with unusual clarity.
“This book is a tour de force, a summary of almost everything that is interesting (at least to me) in mathematics.”
All that, plus a very careful treatment of Fourier series and transforms. Nuff said. It’s ordered.
And unless anyone says otherwise over the next couple of days, this book on Maxwell’s equations will be ordered, too: http://www.amazon.com/Students-Guide-Maxwells-Equations/dp/0521701473/ref=pd_rhf_shvl_4