The discussion of Lagrangian mechanics reminds me that
a paper of mine has appeared recently in which I used
Maxima (and cite the project):
http://uk.arxiv.org/abs/0906.1762http://journals.cambridge.org/repo_A79zJ1rO
The penultimate page mentions one use of Maxima;
the formulae in section 4.1 were derived and/or
verified using Maxima.
Leo
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