Linear and quasilinear first order PDE. The method of characteristics. Conservation laws and propagation of shocks. Basic theory for three classical equations of mathematical physics (in all spatial ...

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

Unless you do it in your day to day job, math can be very easy to avoid once you graduate from school. Suddenly those long, complicated equations that your math teacher swore would be trivial are so ...