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

Click For Summary
SUMMARY

This discussion focuses on writing a 7-page paper for a Calculus III class on Stokes' theorem, Green's theorem, or the divergence theorem. The instructor emphasizes the historical context over problem-solving. Participants suggest researching the history of these theorems and the mathematicians associated with them, noting that all three theorems are interconnected and have rich historical narratives. A recommended resource is the article "The History of Stokes' Theorem" by Victor J. Katz, published in Mathematics Magazine.

PREREQUISITES
  • Understanding of Stokes' theorem, Green's theorem, and the divergence theorem
  • Familiarity with calculus concepts, particularly in multivariable calculus
  • Research skills for sourcing historical mathematical literature
  • Ability to analyze and synthesize historical information about mathematicians
NEXT STEPS
  • Research the historical context of Stokes' theorem and its applications in physics
  • Explore the contributions of mathematicians associated with Green's theorem
  • Investigate the significance of the 1854 Smith's Prize exam in relation to these theorems
  • Read "The History of Stokes' Theorem" by Victor J. Katz for detailed insights
USEFUL FOR

Students in Calculus III, educators teaching multivariable calculus, and anyone interested in the historical development of mathematical theorems.

Bohrok
Messages
867
Reaction score
0
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?
 
Physics news on Phys.org
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)
 
Thanks for the info and the link to the thread; that'll be a great starting point for the paper :smile:
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 1 ·
Replies
1
Views
6K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 35 ·
2
Replies
35
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
6K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
8K