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I'm interested in theoretical & solid-state physics, but not planning to start an academic path (because of my age, job, other plans etc.). Nonetheless, I'd like to get as much university-grade knowledge as possible. I'd appreciate some suggestions as to the math branches/topics I'll need to study, and examples of the best (in your opinion) textbooks on those subjects. I have a basic understanding of calculus and have read mainly pop-sci books on physics, so my list of required reading would really need to start from fundamentals. Still, I'm quite fast at grasping concepts and math, as long as they're served in the right way (i.e. without omissions or frequent references to "assumed" knowledge). Again, I'm asking primarily about math, which I'm the most behind with.

(BTW: Is the math required in theoretical physics sufficient to study solid-state concepts?)

Thanks in advance.