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The GNU Scientific Library (GSL) is a numerical library for C and C++ programmers.
The library provides a wide range of mathematical routines such as random number generators, special functions and least-squares fitting. There are over 1000 functions in total with an extensive test suite.
A mathematical open source library written in C#/.Net, aiming to provide a self contained clean framework for symbolic algebraic and numerical / scientific computations.
Perl module for handling of numbers with arbitrary many uncertainties. Does automatic error propagation and scientific rounding.
An extension for outputting the objects in LaTeX syntax is available.
O2scl is an object-oriented library for numerics in C++ useful for solving, minimizing, differentiating, integrating, interpolating, fitting, and more. Classes operate on generic member functions and generic vector types. Includes classes from GSL and CERNLIB.