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Apr 30, 2022 at 20:51 history edited The Amplitwist CC BY-SA 4.0
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Feb 7, 2010 at 1:52 comment added KConrad The place where that article appeared, the American Math. Monthly, is not intended specifically for original papers. But the author really found essentially the proof of Gauss and neither he nor the referee realized it. It should have been presented in the article as a proof that goes back to Gauss but is not so well-known (except if you translate it into complex variables it becomes one of the known complex-analytic proofs). I don't have a problem with the proof appearing in the Monthly, but the lack of awareness that it is a known proof is kind of unfortunate.
Jan 18, 2010 at 21:55 comment added David Jordan ok thanks. I wasn't sure if the place it was posted was for original papers anyways? I thought it was just an exposition. Anyways, it's good to know, thanks!
Jan 17, 2010 at 19:30 comment added KConrad The referee assigned to review that Monthly article didn't carry out proper due diligence: that proof goes back to Gauss! See, for instance, the discussion of the third proof of Gauss in math.huji.ac.il/~ehud/MH/Gauss-HarelCain.pdf. I saw this proof for the first time in Volume II of Fikhtengoltz's "Course of Differential and Integral Calculus" and translated it into English in case I want to use it myself. It's posted on math.uconn.edu/~kconrad/blurbs/analysis/fundthmalgcalculus.pdf and at the end the hidden connection with the argument principle is indicated.
Jan 3, 2010 at 21:56 history answered David Jordan CC BY-SA 2.5