1.How Euler Did It: Divergent Series
Divergent series. June 2006. Today we are fairly comfortable with the idea that some series just don't add up. For example, the series. 1 1 1 1 1 1 etc. − + − + − + ...
HOW EULER DID IT 32 DIVERGENT SERIES
2.Divergent Series: why 1+2+3+
“Divergent series are the invention of the devil, and it is shameful to base on them any ... One might think that not much can be said for divergent series. The goal ...
3.Divergent Perturbation Series - arXiv
Abstract—Various perturbation series are factorially divergent. ... An overview of the mathematical theory of divergent series is presented, and inter- pretation of ...
4.Divergent Series wear White Hats, too
Using divergent series, one can obtain reasonably accurate numerical ap- ... paper, we explain why divergent series are useful, and give two examples of ...
5.How to Add Divergent Series 1 1+2+3+4+ ... 2 1
“Divergent series are on the whole devil's work, and it is a shame that one dares to found any proof on them. One can get out of them what one wants if one uses ...
6.Divergent Series: A Numeristic Approach - Kevin Carmody
Mar 4, 2012 ... Infinite divergent series can generate some striking results but have been ... and about the present title [Divergent Series], now colourless, there ...
7.Divergent series presentation - Eastern Illinois University
Mar 25, 2009 ... Divergent Series — And Other Inventions of the Devil. Page 2. “Divergent series are the invention of the devil, and it is shameful to base on ...
8.Proofs of Divergence of the Harmonic Series - Prairie State College
Dec 9, 2011 ... In the last proof the harmonic series was directly compared to the divergent series. ∞. ∑ k=1ln (1 +. 1 k) . The use of the inequality x ≥ ln(1 + x) ...