Earlier quoted context omitted.
Yup, I've been taught the result in first year calculus and the resulting corollaries, which was over 2 years ago now.
> Yup, I've been taught the result in first year calculus and the resulting corollaries, which was over 2 years ago now. Are you joking? This is not calculus, and it's certainly not first-year material.
The Beauty of Bounded Gaps (2013)
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Re: The Beauty of Bounded Gaps (2013)
#12Earlier quoted context omitted.
I think he means that he stated the result in a calc class, not that he proved it. It would be very reasonable (and cool!) to state without proof in a calc class.
I certainly won't presume to tell Will Stein about number theory, but it seems strange to me to include in a calculus class (even without proof). Far be it from me to suggest ever excluding interesting mathematical content, but I'd be suspicious of an ordinary calculus class appreciating the significance of this result. On the other hand, maybe such prophecies are self fulfilling, and the enthusiasm of the teacher en…
https://www.math.ualberta.ca/~xinweiyu/117-118.14-15/2014090...
And then the homework (Q3): https://www.math.ualberta.ca/~xinweiyu/117-118.14-15/2014090...
Where the corollary follows.
Re: The Beauty of Bounded Gaps (2013)
#13Earlier quoted context omitted.
I certainly won't presume to tell Will Stein about number theory, but it seems strange to me to include in a calculus class (even without proof). Far be it from me to suggest ever excluding interesting mathematical content, but I'd be suspicious of an ordinary calculus class appreciating the significance of this result. On the other hand, maybe such prophecies are self fulfilling, and the enthusiasm of the teacher en…
Hmm, well you can read for yourself, my prof is nice enough to have posted all of the lecture notes online; These are the lectures from the second class where the result is covered on the third page: https://www.math.ualberta.ca/~xinweiyu/117-118.14-15/2014090... And then the homework (Q3): https://www.math.ualberta.ca/~xinweiyu/117-118.14-15/2014090... Where the corollary follows.
I still would be hesitant to talk about this in my own calculus courses, but, given the impression that this made on you and Will Stein's endorsement (https://news.ycombinator.com/item?id=12886751), it sounds like that's just undue timidity on my part.