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That's what algebra was like for me. I never was able to develop any intuition for algebra. Calculus on the other hand was very intuitive for me.

Algebra was like solving a puzzle where you randomly move pieces around to try to get them in order. There didn't seem to be any real principles involved. Just a set of rules to memorize.

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It seems like this is because abstract algebra is the study of invented number games. These new games can seem a little too, well, abstract at times. The power comes from being able to play the same game with different rules when necessary.

I could "use" linear algrbra in programming and I never understood analysis.

But I didn't understand proofs with either.

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