In the amazing book by Schwichtenberg (which is the reason why we all are here), the author mentions that it is possible to teach oneself physics by following this approach: From QFT to classical mechanics. He even mentions that if he could do it all over, he would take this approach from the beginning.
I just want to ask if this is really possible. Is there any route one can follow in order to teach oneself physics starting from QFT, as the author claims?
I cannot see a clear route, that is why I’m asking you for advice. For instance, the book by Klauber which the author recommends assumes knowledge of quantum mechanics I guess. And, in order tu study quantum mechanics knowledge of concepts such as energy, momentum, and angular momentum must be assumed! As far as I can see, there seems no other route to teach oneself physics but to do it the way it’s been done: From classical mechanics to QFT.
Sure one can start by reading Schwichtenberg’s other books, like starting from No-nonsense Quantum mechanics, but again, there is the presence of concepts such as the Hamiltonian and Lagrangian, which are better understood in the context of classical mechanics.
Moreover, I think the mathematical baggage needed to start learning QFT as the beginning of the tour is heavier than that of classical mechanics. So one needs mathematics books for physicists as a recommendation too. That is, in order to teach oneself physics, one needs to teach oneself mathematics first.
Perhaps I am not seeing the big picture here, and I will be so thankful if anyone can help.