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We do not have enough time here to list all the powerful facilities
within Mathematica, but we present a short list of some of the more
useful ones.
- Functions to expand, sum, and take the
limit of series and functions: Series, Sum, Limit.
- Plotting and Fitting numerical data and solutions of (e.g. )
differential equations.
- Facilities to manipulate vectors and matrices in different
coordinate systems.
- Statistical functions.
- A programming language using which it is possible to write your
own symbolic programs and hence to expand Mathematica's facilities.
- A library of prewritten extensions for various specialist purposes
as well as some specially written code available from other sources.