Writing on Stoke's, Green's, or Divergence theorem

  • #1
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I suppose this has to go under homework, so here it goes:
I'm in Calc III and we won't have enough time to cover the last chapter in the textbook about Stokes theorem, Green's theorem, and the divergence theorem, so instead the teacher wants a 7-page paper on something from that chapter. She said we can write about any of the theorems and the mathematicians behind them. She also said we can work out a out problem, but she doesn't want that to be the focus; she's more interested in us writing about the history.

I'm not sure if we can write about more than one theorem (I'll ask her about that soon) but if it turns out she only wants to limit it to one , I don't know how I'll write 7 pages on it :eek: The only useful information I could use is any side notes in the margins of calc textbooks and whatever I can find online. And since I don't know anything about these theorems, I have no idea which one may have more to write about. I'll probably end up skimming the next couple of chapters to get the gist of what these theorems are about and be able to make a more informed decision on what to write about. But until then...

Any suggestions on what theorem has more history and information that could fill up a paper, or any good sources with info on them or the mathematicians?
 
  • #2
All those theorems are pretty much the same, they are special cases of the general theorem. There is the fact that they are all names after the wrong people. There are applications to physics. There is interesting history. There is the 1854 Smith's Prize exam. It will be easy to reach seven pages and difficult to stop before seventy.

https://www.physicsforums.com/showthread.php?t=115981

you could look at the library for

The History of Stokes' Theorem
Victor J. Katz
Mathematics Magazine
Vol. 52, No. 3 (May, 1979), pp. 146-156
(article consists of 11 pages)
 
  • #3
Thanks for the info and the link to the thread; that'll be a great starting point for the paper :smile:
 

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