Maths for Divers

I started out from school doing maths because that was what I was good at but at university became infatuated with the physics side of the course and ended up doing mostly physics options. Somehow I have ended up doing computers because everything is computers but my sort of computers are for instruments and machine control because that's fun.
So when I took to scuba diving the engineer in me wanted to know what was going on and the mathematician wanted to know how to calculate it.

Partial Pressure Mixed gases
Van der Waals Real gases under pressure
Energy in a scuba tank
Decompression Theory for goats
Gases and Heat Adiabatic laws
Work Of Breathing an example and a formula