started reading halmos's "finite dimensional vector spaces" having no grounding in linear algebra, and there's this intense pleasurable...
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like forming linearly dependent vectors from bases, this half second "wh... oh!" when the mental connection bridges to definition of groups
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Interesting. From my experience, it's much less satisfying in the other direction. (I learned linear algebra first.)
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something similar when I read about abstract algebra knowing a bit about category theory
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probably something about the sensation of jumping from behind where the author is a thought to ahead of it
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Had a similar feeling when diving into linear algebra. It just feels right and is highly complimentary to so many other disciplines.
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