To prove the importance of symbolic computations, certainly, symbolic
integration is a bad, if not the worst example -- as for all practical
problems numerical method will do as your professor claims.

But the beauty of symbolic methods certainly can be demonstrated by the
Risch algorithm.

To my opinion: one should not play off one against the other aspect! So
for a computer algebra system like FriCAS the completion of symbolic
integration is a valid target, perhaps right now there are still more
important target as improvement of usability for unexperienced users.



Am 11.01.16 um 10:23 schrieb oldk1331:
> Thanks for your informative replies, Waldek Hebisch.
> I have a question related about Risch algorithm and its
> implementation in FriCAS.
>
> I asked my math professor about Risch algorithm before,
> he never heard of it and he seemed to not care about it,
> because "numerical methods are enough, nobody cares
> about symbolic results".  I want to know your perspective
> of the future of Risch algorithm and its implementation in
> FriCAS.
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>
> Johannes Grabmeier
>
> Prof. Dr. Johannes Grabmeier
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> Tel. +49-(0)-991-3615-141 (d),  Fax: +49-(0)-3224-192688

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