I am looking to work my way through classical physics and into more complex modern physics topics. I try to learn from a combination of internet resources and textbooks, but on the internet I find them often using terminology which is too mathematically advanced for me. Some examples are: -Hilbert space -Lagrangian/Hamiltonian -Fourier transforms And when i try to research these topics online, I don't have the necessary context or experience to understand the vocabulary that explains them, i.e. terminology like "a structure on a set" or other vocabulary that is too vague for me to understand (because I don't have the experience to know which context the words should be taken in). I've learned up to calculus/trig, and am starting work on linear algebra, but I'd like to know which topics I can study which will give me the math literacy I need to understand concepts like the above mentioned. Ideally resources that introduce me to the vocabulary without presuming prior knowledge. Thanks!