Nearby state college Mathematics master's degree program doesn't have a formal Number Theory graduate course or Functional Analysis course. Should I do a full PhD which has these courses instead?
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>>16168422Kill yourself and afterwards go ask /adv/
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>>16168422a full phd just to learn number theory (not even anything advanced) or basic functional analysis? lmao, just use MIT OCW. do a Phd if you actually want to do research, not just learn math
>>16168422Travel for a year in Germany or France University to master it, then go back home and tell your friends the hot drunk girls you fucked while in the old world (especially Pharmacy students).
Read Ireland/Rosen for number theory and Conway for functional analysis.
>>16169741You like Conway's functional analysis? I know it's a classic but I found it kind of uninspiring. I really liked GTM 264 but only the first 100 or so pages of that one is properly functional analysis. The rest are the applications of functional analysis to optimization theory and calculus of variations.
>>16169758Maybe I'm just partial because it's where I first learned the subject, and it does the basics stuff (like local convexity and weak topologies) right. I agree it's not 100% perfect: for operator algebras, I prefer Murphy's book.
