It's one of my favourites. Aside from Feynman's clear and enthusiastic style, I find it's remarkable you can start from counting 1,2,3 and by a bit of reasoning come up with logs, complex numbers and:
>This, then, is the unification of algebra and geometry.
I can't help wondering if you could go further and come up with some physics.
That material is covered in all STEM curriculums as part of the Calculus sequence.
For most students, the sublimeness of getting to the Reals and beyond tends to get lost in the grind of lectures, problem-sets and exams.
Feynman had a knack for getting straight to the essence of a subject, that's why people love him so much.
As for algebra + geometry with physics, there are people who have cut a path to that (see texts by Hestenes), unfortunately, it requires some mathematical sophistication and most curriculums simply don't have the time to reach that level for undergrads, given the way that they're structured.
>This, then, is the unification of algebra and geometry.
I can't help wondering if you could go further and come up with some physics.