>>11804701the act of doing experiment physics is obviously different
but to get to the current level of knowledge, physics is really just mathematics, but you only look at specific parts of it, the areas you look at are the mathematics that the universe follows. Sometimes there are seemingly arbitrary constrictions, for example when looking at mullti particle wave functions, you only consider totally anti symmetric or symmetric wave functions (fermions and bosons), but mathematically other representations of the cyclical group would be possible. So physics is just mathematics, but what you only consider the stuff that manifests itself in nature.
some fields of mathematics are less used in physics but you would never know too much mathematics as a physicist.
So analysis real, 1d and multidimensional, complex, plus linear algebra is a must. the other topics you can pick up when you need them.
>After that you treat classical physics with the same formalism that you later apply to some extent in quantum mechanicswhat I mean is you absolutely have to know the lagrangian or hamiltonian formalism, it would be didactically not very smart to only start using it with quantum mechancis. So I'd start with it in mechanics and electrodynamcis. You also do some statistical physics, classical first.
I havent read the books there (I'm german and read mostly german literature) but its a good idea to reiterate the same subject several tiems with different levels of depth.
