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Parisi

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I'm a sophomore undergrad and I have taken up the standard calculus sequence (~3sems) and ODEs. I want to self study ahead in mathematics to do well in future physics courses and also research. Would it be a good idea to start with Hassani's undergraduate book then look into his graduate one, or skip to Mathematical Physics? Or are there any other books that are comprehensive and mathematically rigorous under this branch of books on mathematical methods for the physicist/engineer?