Is it necessary to learn calculus rigorously (with proofs) to have a good understanding of physics? Or is learning the basic concepts and some of the computational aspects of calculus enough to take you far in physics?
Mathematical rigor in physics (calculus)
Brandon Brooks
Jason Edwards
it depends, you'll need to know some math eventually, but it's better to learn it as you go, whenever you need it. you'll need to get up to differential geometry to understand relativity well, but there are good "for physicists" resources available
Xavier Perez
It depends on what your goal is. If you want to eventually study high level theoretical physics, you might as well start doing the rigorous mathematics now.
Kayden Jenkins
Where do I start?
Ryan Lee
1) Go to college
Elijah Reyes
>paying $3000+ for Calculus
Luis Lee
Are you implying autodidactism is not as effective as formal education?
Alexander James
I agree. If you just care about undergrad, then don't sweat it. If you are considering grad school, take some analysis (real and complex), abstract algebra, and really any course requiring rigorous proofs. A lot of what you learn you will never apply to physics, but you'd be surprised how helpful it is to have this knowledge on hand. Also just practicing thinking like a mathematician helps. To go through physics just believing things because you were taught them is very unfulfilling in my opinion.
Brayden Walker
yes, obviously
Mason Adams
Why do you think that? Not trying to be confrontational. I'm honestly curious and want to see what makes a formal education better than just reading a textbook and doing the problems.