Re:Is the era of the $100 graphing calculator coming to an end?
by willis936 on Monday September 23, 2019 @08:06PM
(#21055141)
I did this in emag instead of bothering with the grad, curl, laplacian, and spherical coordinate conversion by hand. I did them by hand in vector calc. All I’d be doing by doing it by hand is introducing room for error.
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Re:Is the era of the $100 graphing calculator coming to an end?
by selimthegrim on Monday September 23, 2019 @10:27PM
(#21055902)
The real way to do this is using differential forms so you just have matrices that you read off. Using the appropriate metric and the normalized form you don't need to memorize anything (see section 5 of https://www.math.arizona.edu/~faris/methodsweb/manifold.pdf)
Re:Is the era of the $100 graphing calculator coming to an end?
by jabl on Tuesday September 24, 2019 @03:49AM
(#21057542)
I learned EM the traditional way with vector calculus, but I regret I never got around to properly learn it formulated via one of the generalizations like geometric algebra or differential forms.
Oh well, maybe someone will write a magnus opus EM book using differential forms to rival Jackson's book, and the next generation of students can learn it.
Re:Is the era of the $100 graphing calculator coming to an end?
by selimthegrim on Tuesday September 24, 2019 @11:00AM
(#21060903)
I think Zangwill mentions it