I am a Physics student but I finally found that I've entered the wrong department that I am in fact much more interested in mathematics. I want to self-learn mathematics.
I am now reading Artin (Algebra) and Rudin (Prinicple of Mathematically Analysis). Both books are terrific.
Could anyone suggest a study sequence of subjects after that and some classic textbooks in each subject?
I am more interested in pure (I don't mind they being abstract) mathematics (especially those can be applied in quantum information theory, QFT, GR, quantum gravity, String theory, etc.).
Thanks in advance!