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NumPy adds a flexible multi-dimensional array to Python along with mathematical and structural manipulation routines to allow Python to be used for high-level scientific and engineering code development.
gnuplot plots 2d and 3d graphs, from a data file or with a formula. It has an interactive mode with online help, or it can be used non-interactively. gnuplot does function fitting to data sets, and it does output to many terminals, among which are PostScript, X11 display, PNG, and GIF (via the old gd library).
Octave is a high-level language, primarily intended for numerical computations. It provides a convenient command line interface for solving linear and nonlinear problems numerically, and for performing other numerical experiments. It may also be used as a batch-oriented language.
Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, and sets, lists, vectors, matrices, and tensors. Maxima yields high ... [More]
Sage is mathematical software, very much in the same vein as MATLAB, MAGMA, Maple, and Mathematica. Unlike these systems, every component of Sage is GPL-compatible. The interpretative language of Sage is Python, a mainstream programming language. Use Sage for studying a huge range of mathematics ... [More]
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.
The JTS Topology Suite is an API of 2D spatial predicates and functions. It has the following design goals: * JTS conforms to the Simple Features Specification for SQL published by the Open GIS Consortium * JTS provides a complete, consistent, robust implementation of fundamental 2D spatial ... [More]
(from the scilab homepage...) Scilab is a scientific software package for numerical computations providing a powerful open computing environment for engineering and scientific applications. Scilab is an open source software. Since 1994 it has been distributed freely along with the source code ... [More]
Eigen is a C++ template library for linear algebra (vectors, matrices, and related algorithms). * It supports tiny, dense, and sparse matrices (the latter is still experimental), fully integrated with one another. * It takes full advantage of expression templates to provide a great API. For ... [More]
A mathematical open source library written in C#/.Net, aiming to provide a self contained clean framework for symbolic algebraic and numerical / scientific computations.