Projects

NumPy

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

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).

GNU Octave

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 -- GPL CAS based on DOE-MACSYMA

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] precision numeric results by using exact fractions, arbitrary precision integers, and variable precision floating point numbers. Maxima can plot functions and data in two and three dimensions. The Maxima source code can be compiled on many systems, including Windows, Linux, and MacOS X. The source code for all systems and precompiled binaries for Windows and Linux are available at the SourceForge file manager. [Less]

Sage: Open Source Mathematics Software

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] , including algebra, calculus, elementary to very advanced number theory, cryptography, numerical computation, commutative algebra, group theory, combinatorics, graph theory, and exact linear algebra. It is available for download from sagemath.org and its mirrors in source or binary form. If you have any questions and/or problems please report them to the Google groups sage-devel or sage-support. You can also drop by in #sagemath on freenode IRC. [Less]

GSL - GNU Scientific Library

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.

JTS Topology 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] algorithms * JTS is fast enough for production use * JTS is written in 100% pure Java( * JTS is open source (under the LGPL license) [Less]

Scilab

(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] via the Internet. It is currently used in educational and industrial environments around the world. Scilab is now maintained by Scilab Enterprises: http://www.scilab-enterprises.com/ Note that Scilab has been using code review since 2010 (explaining the diminution in term of number of commits). [Less]

Eigen

claimed by KDE

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] example, m.row(i)+=m.row(j) just works. * Expression templates are also the basis for many optimizations: automatic determination of which temporaries to remove, and intelligent explicit vectorization (SSE and ALtiVec). * Performance is on par with the best BLAS implementations (see http://eigen.tuxfamily.org/index.php?title=Benchmark). * It keeps in mind the real needs of apps, for example the geometry features needed for 3D graphics [Less]

Math.NET Numerics

A mathematical open source library written in C#/.Net, aiming to provide a self contained clean framework for symbolic algebraic and numerical / scientific computations.