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UK universities generally don't allow taking "several advanced courses" in addition to the standard degree - the degree is just the...
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FWIW, I've never seen a UK master's base their requirements on anything beyond your grade in your physics course. I assume it's because...
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What non-professorial career was he in, and where does the money go now that he has passed?
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No, this is a rigorous single variable calculus book.
Is your son taking a non-proof based multivariable calculus course?
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It's not super formal but also acknowledges where it's being handwavy. It's also free. And the exercises are more thought-provoking than...
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Check out this multivariable calculus book: https://web.evanchen.cc/textbooks/lamv.pdf