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Description: |
In this talk I will emphasize the fundamental impact that computers
will have on the mathematical sciences (physics, engineering,
mathematics itself, computer science, statisics, finance). I will
argue for a complete change in the way we educate people in
mathematical sciences: Symbolic mathematics with pen and pencil is
useful in simple problems, but computational (approximate) mathematics
has and will get a much wider impact on science and society. Examples
will be shown to illustrate the advantages of a computational and
experimental (first) approach to solving mathematical problems, both
in basic education and in research. Traditional analysis will still
be important to explain and verify computational results, but
it will not keep its position as the main tool for investigating
mathematical problems.
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