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I absolutely hated analysis for years after I got my degree for all the physics tangents in the calculus/advanced calculus sequence that I had to digest and memorize because they'd be on tests. I was interested in logic and combinatorics, and later topology via category theory. If I wanted to study physics, I would have signed up for physics classes. Mathematics is bigger than physics.
Yeah that's dumb. Engineers are taught that manufacturing is applied engineering, engineering is applied physics, and physics is applied math. Math isn't applied anything; it's the only discipline you can conjure out of pure thought. I would have figured the mathematicians would be insufferably reassured about that.