I just finish my final year of undergrad in maths and physics and decided to do mathematical physics next year as my research project. My physics (theory) grad are good mostly A+'s. 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?