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Ok, /sci/, this is not related to careers or homework but I'm pretty amateur. Assuming the person is intelligent, works hard and has basic numerical literacy, what do you think is most efficient way to understand and learn advanced mathematics? Such as modern probability theory. What do you weigh more, proof techniques or applications?
Pic semi-related I think slope fields are pretty
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>>9073992
>works hard and has basic numerical literacy
this is the most important factor
both rigorous theory and example applications are needed to fully appreciate and competently apply any topic. If you do nothing but study books, you quickly realize that you know nothing when faced with an actual real world task, while if you do nothing but study applications, you will never identify underlying and unifying patterns.
that being said, having some direction goes a long way.
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>>9074022
Thank you, that was answer was reassuring.
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>>9073992
I'd have to say learn it in the context that it was created in.
Calculus was invented to do physics.
Learn calculus from doing the physics problems it solves.
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