TL;DR Summary: Books that reflect: https://web.williams.edu/Mathematics/lg5/Rota.pdf
I'm looking for a book or course that distills the subject of differential equations (DE) according to these 10 points : https://web.williams.edu/Mathematics/lg5/Rota.pdf
I'm a part-time student working...
It's mostly a matter of being efficient with time, I didn't want to go over cal 1/2 again. I'm making a return to school and the curriculum suggests multivariable calculus. If I pick a rigorous book to go along with the course, I figured I could kill two birds with one stone.
Took calculus of a single variable almost a decade ago where every theorem had to be accepted without proof. Can I fill these gaps by studying a rigorous multivariable/vector analysis book? My justification for this is that R^1 is just a special case of R^n. Or am I looking at this the wrong way...