Does anybody else here find that their physics classes - while providing an acceptable working understanding of the maths involved, don't treat the mathematics with enough rigorousness for their students to be able to understand other discussions on the subject? I ask because I'm quite often baffled by the mathematical discussions that go on here; and also struggle to understand many textbooks on areas that I nevertheless do quite well in. As an example, I am very happy with wave quantum mechanics and can get by with matrix mechanics, but I don't know what a Hilbert space is and don't seem to be able to find any sources to explain what one is in terms I understand. In general this phenomenon means I'm stuck with only my lecturer's interpretations of the subject and nothing else, because the amount of mathematical terms in most mathematical physics books I've found goes way over my head. Am I alone here?