Mathematics of Quantum Mechanics

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What form of mathematics does quantum theory require? Please, HELP!
 
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Differential equation, Complex analysis, and Linear algebra, etc.

Any way, try to search these two words: wave mechanics, matrix mechanics.
 
Thanks a lot!
 
Some probability theory and lots of integrals, including multiple integrals, Fourier series..
 
You need functional analysis on Hilbert spaces, including the theory of distributions. A nice more mathematically oriented modern treatment is

Galindo, A., and Pascual, P.: Quantum Mechanics, Springer Verlag, 1990, 2 Vols.
 
Hendrik, the G&P is the best book one could possibly reccomand. I fully endorse it.
 
OK I will try to issue a buncha books from my library.
Thanks again!
 

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