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I wanted some suggestions on a rigorous textbook for a Mathematical Methods course (which at my college) is taken after a one-semester (Differential Equations based) Modern Physics course in the sophomore year. Basically, I am looking for textbook suggestions that are considered "standard" and rigorous for a Mathematical Methods course for a physics major.

Additionally, I would also like suggestions for a "standard" and rigorous textbook for a junior level classical mehanics course. Personally, I'd like to find a textbook that is as rigorous for junior level Classical Mechanics as Griffith's

*Introduction to Electrodynamics*is for junior level Classical Electricity & Magnetism.

Suggestions are appreciated.

Thanks,

-PFStudent