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Learning math on the internet is hard. Different people use different notations and assume different backgrounds. I encourage the poster to read and learn mor
by onedognight 17y ago
Learning math on the internet is hard. Different people use different notations and assume different backgrounds.
I encourage the poster to read and learn more about exterior algebras! Once you've seen Stoke's theorem, the Hodge decomposition, Maxwell's equations, etc. written using them you'll never go back and those old school t-shirts with "and god said..."[1] will make you cringe.
I hope/expect to see them taught in basic calculus and physics, but it takes generations for things to trickle down.
[1] http://images6.cafepress.com/product/96599546v11_350x350_Front.jpg http://images6.cafepress.com/product/96599546v11_350x350_Fro...
- slackenerny 17y agosee them taught I think it was done that way once, but somewhere around seventies people dropped or moved this to advanced courses. You can't immediately solve a transformer in differential forms like the way you can by mindless symbolic manipulation over the standard formalism.