>>14174216Be really good at Linear Algebra and Analysis in general. Functional Analysis is the study of non-finite vector spaces.
Some books
>Axler or Shilov Linear AlgebraWhy? Good solid non-retard introductions to Linear Algebra. A good place to start. I think the former is more proof heavy than the latter but Shilov doesn't fuck around either
>Roman Advanced Linear AlgebraYour bible. Take turns with your waifu at night.
>AnalysisBlue Rudin, Green Rudin, Lang. If you're feel weaker grab Abbott and do every exercise you can
>Functional AnalysisKryezig or Lax I believe are good choices to start. Not sure what the bible of this subject is but Rudin sounds like a contender
As always spam the mother fucking triangle inequality and practice from the Cauchy Schearz Master Class book.
That should be more than enough. If you get this far I'll buy you a pizza.