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Warnings.
- Using a computer algebra system does not mean that you don't have
to think. Most of the time, all works perfectly and you get the answer
within 30 seconds. But sometimes, after 1 or 2 minutes, you don't get
the answer or you get a Insufficient memory error. In this case, you
should think ``Is there a different way to get the answer? Is there a
way which will be easier for the system?'' And most of the time, there is
a better way! Think of double integrals where you can reverse the integration
order or define integrals where you may do a variable translation to
have less variables, or linearity in inverse Laplace transform, ...
You should learn math and algorithms to get the best of any computer
algebra system. And a system is never complete, you will need to program
sometimes!
- Most of the problems in the real life don't have exact answers but
can only be solved approximately. Think of integrals, differential
equations, large matrices (say e.g. 100100), ... Before learning
how to solve exactly a problem, I strongly recommend that you learn how
to solve numerically a problem. Then for a real life problem, you will
know when you must stop finding an exact solution and begin to
use a numerical algorithm.
Next: Erable and alg48.
Up: Introduction.
Previous: Overview.
Bernard Parisse
1998-07-31