An Informal Overview of Cartan’s Exterior Differential Forms, Illustrated with an Application to Cauchy’s Stress Tensor
My goal in this overview is to introduce exterior calculus in a brief and informal way that leads directly to their use in engineering and physics, both in basic physical concepts and in specific engineering calculations. The presentation will be very informal. Many times a proof will be omitted so that we can get quickly to a calculation. In some “proofs” we shall look only at a typical ...