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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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marked as duplicate by Aaron Stevens, Qmechanic quantum-mechanics Oct 22 at 18:31

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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 at 17:51
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    $\begingroup$ have a look at the list here quora.com/… $\endgroup$ – anna v Oct 22 at 17:53
  • $\begingroup$ Thanks, I'll check all of that out :) $\endgroup$ – Ironstone Oct 22 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. $\endgroup$ – Aaron Stevens Oct 22 at 17:56
  • $\begingroup$ Thanks everyone! I assume you also need to know most A-Level maths concept too? $\endgroup$ – Ironstone Oct 22 at 18:00