Spacetime Calculus [pdf]
geocalc.clas.asu.eduI love this write up, thanks for sharing. This is a very clearly structured overview of most of the basic formalism I remember from undergrad physics. I'll bookmark this as a refresher if I ever decide to do physics again. That said though, I'm not convinced that I would have been able to follow this document if I had not already been familiar with the formalism. Though the assumptions are generally stated, I suspect their implications are not clear to those approaching the subject for the first time.
Thanks for your comment. For people new to physics (I am one of them) I can't recommend strongly enough Leonard Susskind's 'The Theoretical Minimum' courses -- http://theoreticalminimum.com/courses . I'm currently going through the one on Special Relativity and EM concurrently with Hestenes' text.
You could also check out Sean Carroll's Spacetime and Geometry. It's my favorite textbook.
Supplement with the second half of Wald's book for exploring some concepts
This is great, thanks so much for linking this. I acquired a taste for mathematics way too late and didn't get a chance to grasp physics at university because of it, the Theoretical Minimum courses seem to be exactly the second chance I was looking for.
Awesome! By the way, there are also books that accompany the first three courses:
https://www.amazon.com/Classical-Mechanics-Theoretical-GEORG...
https://www.amazon.com/Quantum-Mechanics-Theoretical-Leonard...
https://www.amazon.com/Special-Relativity-Classical-Field-Th...
If you get the first one, make sure to get the one titled 'Classical Mechanics' and not just 'The Theoretical Minimum' as the former is a more recent printing with many corrections.