Notebooks: Generalized Functions and PDE

In the style of Cosma Shalizi’s notebooks I’m including some links to things that I’ve read recently. This little one is written about PDE, Generalized Functions and Differential Equations. Historically generalized functions were first used in Physics by Heaviside and Dirac. Schwartz the great analyst came along and added rigour. Introduction to Generalized Functions with…… Continue reading Notebooks: Generalized Functions and PDE

On the Mathematics of the Berry Phase

I tried to upload this to my wordpress however it wasn’t working. So here is a link to a pdf file of some notes and observations I wrote over the course of a few years on the Geometric Phase. Mathematics of the Geometric Phase by no means is this original, and there are many excellent…… Continue reading On the Mathematics of the Berry Phase