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Symbolic calculation

Symbolic computation -- this is the manipulation of mathematical expression (in contrast to the numerical computation of solutions to given equations). This is useful to support paper-based transformations of expressions, and increasingly used to generate code on the fly that is specialised for the given problem.

The figure shows some simple examples (using Python's 'sympy' package, see http://www.sympy.org):

• We ask for the expansion of (x+y)^2 (which in Python notation is (x+y)**2 using the 'expand' command
• differentiate x^2 with respect to the variable x
• integrate x^2 with respect to x from 0 to 1.5
• integrate x^2 with respect to x

There are a large number of packages providing these capabilities, including the well know Maple, Maxima, derive and many others.

For queries about this topic, contact Hans Fangohr.

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