I would like to learn aeronautics and astronautics (aerospace engineering). Only problem is I don't know where to start.
I am a graduate math student and have taken PDEs with discussion on calculus of variations, functional analysis, dynamical systems, and perturbation theory, just to name the more relevant courses. Idk how relevant algebra, topology, or stochastic calc would be.
However the extent of my physics knowledge goes to classical mechanics which I took as an elective, and I've never taken an engineering class.
I'd rather not start at the very beginning level, but where would be a good place to jump in?
Fluid mechanics?
Aerodynamics and learn fluids as I go?
Flight mechanics and learn aero as I go?
I like pure math (geometric topology) the most so I don't want to switch or anything but I'd still like to be able to apply math I know to something cool and useful like planes and rockets.