Tuesday 10 January 2017
13 K

what app is he using it seems helpful I want to get it

Nice video! I am a pretty mathematically rigorous person and it always annoys me when people (especially teachers) multiply by dx or dt without understanding what that step really means, I feel very reassured knowing that someone else is rigorous about this too and knows the difference

Where can I get some rigor?

take a shot every time he says "rigor"

does dy/dx = z mean that dx/dy = 1/z?

This makes sense

first like

## carlos mehicano 2017-03-11T03:12:30.000Z ago

to anyone interested in the algebraic use of differentials i would suggest reading keislers elementary infinitesimal calculus which is free online. basically you can define differentials in terms of infinitesimals where an infinitesimal € has the property €<r for all reals r. This use of infinitesimals has been shown to be rigourous through nonstandard analysis, although personally im happy with this intuitive definition.