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I am very interested in Quantum Mechanics, and I want to start learning some of the mathematics behind it - the simplification first, of course. What kind of mathematical ideas do I need to know and understand to follow along (e.g. Calculus, etc...). I'm sure that there is a huge list, but what are the main ones?

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    $\begingroup$ The list is actually not that huge. You should know calculus (up to and including vector calculus) and linear algebra. It can help to know some Fourier analysis, but it's not strictly necessarily. Same for basic probability theory. $\endgroup$
    – d_b
    Oct 22 '19 at 17:51
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    $\begingroup$ have a look at the list here quora.com/… $\endgroup$
    – anna v
    Oct 22 '19 at 17:53
  • $\begingroup$ Thanks, I'll check all of that out :) $\endgroup$
    – Ironstone
    Oct 22 '19 at 17:53
  • $\begingroup$ In line with the comment of @d_b, the QM texts I have used usually contain the main linear algebra components you need to do and understand QM. Although they do assume knowledge of calculus and vectors. Usually the probability is taught too, although at a really shallow level. $\endgroup$ Oct 22 '19 at 17:56
  • $\begingroup$ Thanks everyone! I assume you also need to know most A-Level maths concept too? $\endgroup$
    – Ironstone
    Oct 22 '19 at 18:00