I can't be of help because I only started studying this stuff on the side not long ago. But one of the first things I searched for was differential forms vs Geo

I can't be of help because I only started studying this stuff on the side not long ago. But one of the first things I searched for was differential forms vs Geometric algebra. It appeared that the war between the two was old with both sides claiming subsumption. I decided to learn both but started with GA since it seemed easier to compute with. See: http://groups.google.com/group/sci.physics.research/browse_thread/thread/b9296138f521d1d3/1fec3636c1436215 http://groups.google.com/group/sci.physics.research/browse_t... http://www.mrao.cam.ac.uk/~clifford/introduction/intro/node12.html http://www.mrao.cam.ac.uk/~clifford/introduction/intro/node1... http://geocalc.clas.asu.edu/pdf/DIF_FORM.pdf http://geocalc.clas.asu.edu/pdf/DIF_FORM.pdf