| ▲ | Decoding Leibniz Notation (2024)(spakhm.com) |
| 38 points by coffeemug 13 hours ago | 7 comments |
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| ▲ | sixo 7 hours ago | parent | next [-] |
| Related: "Putting Differentials Back into Calculus
" at https://bridge.math.oregonstate.edu/papers/differentials.pdf |
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| ▲ | GarnetFloride 5 hours ago | parent | prev | next [-] |
| I remember reading Einstein's Relativity and having to translate the notation into what I was learning in Calculus class. |
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| ▲ | tptacek 9 hours ago | parent | prev [-] |
| There's other goofy stuff people do with df/dx, right? Like in a u-substitution you literally do "algebra" with it. |
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| ▲ | krackers 5 hours ago | parent | next [-] | | It's funny that most intro calculus courses will make it a point to remind you that "dy/dx" isn't a fraction, then when they get to integration & diffeqs they want you to forget that and start manipulating them as such. I think most intro courses would be better off skipping everything on convergence tests (which feel really arbitrary anyway until you understand more of complex analysis) and instead use that time better explaining differentials (and maybe a peek into differential forms) | |
| ▲ | ajb 7 hours ago | parent | prev | next [-] | | If you thought that was goofy, check out "Umbral calculus" https://en.wikipedia.org/wiki/Umbral_calculus | |
| ▲ | ajkjk 7 hours ago | parent | prev [-] | | well.. no, not exactly. If u = u(x) then du = u'(x) dx holds rigorously, and then you can substitute du/u' = dx in an integral. | | |
| ▲ | tptacek 7 hours ago | parent [-] | | I'm thinking more along the lines of knocking a '2x' out of an integral from d/dx of like 2x^2. |
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