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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

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David Petry

Posts: 1,104
Registered: 12/8/04
Mueckenheim's views have some support from well respected mathematicians
Posted: Jul 20, 2014 1:42 AM
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Here's a quote from Doron Zeilberger:

" needs neither infinitesimals, nor Cauchy-Weierstrass 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 number-crunching, by discretizing so-called 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"

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.

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