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Hyperreality

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However, I have one concern, I underestimated Mathematical analysis... and deservedly got a C+ for it X_X...

I would like to know how you guys rate the importance of mathematical analysis? I know Hilbert space is very important in QM and am planning to take it next year. I am thinking doing a serious study on analysis during my summer break to get up to cratch.

What do you guys think?