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Old 2017-09-21, 01:30   #34
jwaltos
 

22·3·5·37 Posts
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Sardonicus,

Here is something else which is pertinent to my question, the Blissard (Umbral) Calculus and Abrahamson's non-standard analysis. Years ago I came across H. Dorrie's book, "100 Great Problems..." and attempted to solve all the questions. Bernoulli's Power Sum problem was one success and I expanded and generalized this problem with the methods I developed. I later found out that Blissard had developed what I came up with many years earlier. I was very impressed with what the librarian was able to dredge from the archives in university bowels regarding his published works. I prefer his insights over what is presently known as the Umbral Calculus. This methodology is a good tool when nothing else seems to work. The NSA (non-standard analysis) perspective can be useful if you are trying to be clever rigorously.
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