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Topic:
Mueckenheim's views have some support from well respected mathematicians
Replies:
1
Last Post:
Jul 20, 2014 4:42 AM




Mueckenheim's views have some support from well respected mathematicians
Posted:
Jul 20, 2014 1:42 AM


Here's a quote from Doron Zeilberger:
"...one needs neither infinitesimals, nor CauchyWeierstrass style limits, to have both a rigorous and pleasant foundation for the calculus needed in science and engineering. Make everything discrete and finite! At the end of the day, all today's calculations are done, via modern numbercrunching, by discretizing socalled differential equations, ultimately solving huge (but finite) systems of linear equations, part of discrete math! So a much more pleasant, and (as it turns out, much more rigorous, not that I care) approach, is to assume that the universe has a tiny, yet `strictly positive' "indivisible", and numerical analysis consists of approximating the true finite difference equations by ones of a much coarser grid"
http://www.math.rutgers.edu/~zeilberg/Opinion136.html
That sounds to me a great deal like what W. Mueckenheim is advocating.
I wonder why WM wastes his time playing with losers on sci.math.



