Mathematica combines an algebra-system, a skript language and a visualisation platform. Implemented are quite a lot of algorithms and mathematical methods with a very good documentation (f.ex. http://mathworld.wolfram.com/).
More information about Mathematica can be found under the following link: http://www.wolfram.com/products/mathematica/index.html
In Federal Waterways Engineering and Research Institute (Coastal Department) Mathematica is used primarily for time series analyses. For more information, click here.