Referesher on math for solid state

AI Thread Summary
A second-year graduate student in physical chemistry expresses regret over not taking more advanced mathematics during undergraduate studies, particularly in light of the mathematical demands of their current graduate coursework, which includes solid state physics and quantum mechanics. The student has audited a linear algebra class but still struggles with the intuitive mathematical discussions in their classes, feeling unprepared due to a lack of familiarity with various mathematical concepts and identities. They seek recommendations for streamlined books or workbooks that cover essential mathematical concepts and proofs relevant to science problems, specifically mentioning a desire to avoid revisiting old calculus materials. A suggestion is made that enrolling in a good undergraduate course focused on mathematical methods could be the most effective way to catch up.
excalibur313
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Hi Everyone,
I am a second year graduate student in physical chemistry at a top tier university. As an undergrad, I took Calculus 1-3 during my first two years, but then I didn't take any more because it wasn't required for my major and I was told that I didn't really need it. (I just took lots of physical chemistry classes.) Upon getting to graduate school and realizing that physical chemistry here really means solid state physics and quantum mechanics, I am immensely regretting not taking more math and I was curious the fastest way to get up to speed. I audited a linear algebra class which helped a lot, but I notice that my graduate classes discuss math in such an intuitive way that I have trouble keeping up. More specifically, what I mean is that it isn't really like they are covering subjects I haven't taken, but they are just so much more well versed at it. An example might be asking us to prove some geometry thing, but they will just whip through all these different trig identities that I either never saw or it was such a long time ago that I don't remember.
I was curious if there was a good book or work book that could allow me to re familiarize myself with all the useful concepts and proofs that are often used in solving science problems. I really would prefer not to chug through my old calculus book for example, but want something streamlined so I can see it all in front of me and practice a bunch of problems. Thanks a lot for your help!
 
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A good undergrad course in math methods will be the best way to catch up, look into it.
 
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