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Tagged with divergent-series ho.history-overview
3 questions
5
votes
1
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History of asymptotic expansion of Laplace’s method between Laplace and Erdélyi
In 1774 Laplace understood that $I≔∫\textrm{d}x \exp kf(x)$ for $k≫0$ can be estimated if one knows 2-jet of $f$ at its point of maximum (as $I₀ ≔ ∫\textrm{d}x \exp kf₀(x)$ with $f₀$ quadratic with ...
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7
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2
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Adrastus, Proclus, and 2+8+50+288+… vs. 1+9+49+289+…
According to the MacTutor essay "D'Arcy Thompson on Greek irrationals" (which I take to be a version of Thompson's original essay whose only liberty with the original text is giving English ...
- 19.7k
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Divergent series & continued fraction (from Gauss' mathematical diary)
I've asked that question before on History of Science and Mathematics but haven't received an answer
Does someone have a reference or further explanation on Gauß' entry from May 24, 1796 in his ...
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