Arnold is IMO overreacting (perhaps for performative and political reasons) against the horrors of mid20C French mathematics.
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That era was something of a Grothendieck cargo cult, and did for mathematics education what Le Corbusier did for architecture. Still...
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Speaking as a perhaps-decent algebraist once upon a time who nevertheless is hopeless at both logic AND physics.
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Replying to @St_Rev @Meaningness
I was hopeless at algebra, so maybe that is my problem...
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IMO algebra is the hardest part of calculus & differential equations. Can't ever remember all the rules properly.
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Yes, in general the hardest part of learning layer n of math seems usually to be the complexity of layer n-1 that’s required.
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Replying to @Meaningness @EvanMcM and
When you’re learning highschool algebra, the hard part is doing the arithmetic properly; in calculus it’s the algebraic manipulations.
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Yes, couldn't agree more. The theory of calculus seems simple, elegant even. But doing the algebra was very hard for me, very frustrating.
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I wish highschool calculus was taught intuitively with much more software support so you could see how functions behave as graphical changes
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Replying to @Meaningness @EvanMcM and
you guys seen this guy's stuff? it's really great. there's whole series on calc too https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw/playlists …
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I think I’ve seen one or two and liked them! Thanks!
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Replying to @Meaningness @EvanMcM and
AMAZING resource. if you have good intuitions you could probably "learn" 1st-year calculus in a weekend with that
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