EEGLAB
EEGLAB is a MATLAB toolbox distributed under the free BSD license for processing data from electroencephalography (EEG), magnetoencephalography (MEG), and other electrophysiological signals. Along wit
Gnuplot
gnuplot is a command-line and GUI program that can generate two- and three-dimensional plots of functions, data, and data fits. The program runs on all major computers and operating systems (Linux, Un
CERN Program Library
The CERN Program Library or CERNLIB was a set of FORTRAN 77 libraries and modules, developed at the European Organization for Nuclear Research CERN. Its content ranged from more specialized data analy
NumPy
NumPy (pronounced /ˈnʌmpaɪ/ (NUM-py) or sometimes /ˈnʌmpi/ (NUM-pee)) is a library for the Python programming language, adding support for large, multi-dimensional arrays and matrices, along with a la
Number Theory Library
NTL is a C++ library for doing number theory. NTL supports arbitrary length integer and arbitrary precision floating point arithmetic, finite fields, vectors, matrices, polynomials, lattice basis redu
Bc (programming language)
bc, for basic calculator (often referred to as bench calculator), is "an arbitrary-precision calculator language" with syntax similar to the C programming language. bc is typically used as either a ma
Chronux
Chronux is an open-source software package developed for the loading, visualization and analysis of a variety of modalities / formats of neurobiological time series data. Usage of this tool enables ne
Dc (computer program)
dc (desk calculator) is a cross-platform reverse-Polish calculator which supports arbitrary-precision arithmetic. Written by Lorinda Cherry and Robert Morris at Bell Labs, it is one of the oldest Unix
Experix
Experix is an open-source command interpreter designed for operating laboratory equipment, especially data acquisition devices, and processing, displaying and storing the data from them. It is usable
Hoc (programming language)
hoc, an acronym for High Order Calculator, is an interpreted programming language that was used in the 1984 book The Unix Programming Environment to demonstrate how to build interpreters using Yacc. h
MOEA Framework
The MOEA Framework is an open-source evolutionary computation library for Java that specializes in multi-objective optimization. It supports a variety of multiobjective evolutionary algorithms (MOEAs)
List of open-source software for mathematics
This is a list of open-source software to be used for high-order mathematical calculations. This software has played an important role in the field of mathematics. Open-source software in mathematics
Shogun (toolbox)
Shogun is a free, open-source machine learning software library written in C++. It offers numerous algorithms and data structures for machine learning problems. It offers interfaces for Octave, Python
Mlpack
mlpack is a machine learning software library for C++, built on top of the Armadillo library and the ensmallen numerical optimization library. mlpack has an emphasis on scalability, speed, and ease-of
Armadillo (C++ library)
Armadillo is a linear algebra software library for the C++ programming language. It aims to provide efficient and streamlined base calculations, while at the same time having a straightforward and eas
Trilinos
Trilinos is a collection of open-source software libraries, called packages, intended to be used as building blocks for the development of scientific applications. The word "Trilinos" is Greek and con
SnapPea
SnapPea is free software designed to help mathematicians, in particular low-dimensional topologists, study hyperbolic 3-manifolds. The primary developer is Jeffrey Weeks, who created the first version
CuPy
CuPy is an open source library for GPU-accelerated computing with Python programming language, providing support for multi-dimensional arrays, sparse matrices, and a variety of numerical algorithms im
JLab
jLab is a numerical computational environment implemented in Java. The main scripting engine of jLab is GroovySci, an extension of Groovy. Additionally, the interpreted J-Scripts (similar to MATLAB) a
Metamath
Metamath is a formal language and an associated computer program (a proof checker) for archiving, verifying, and studying mathematical proofs. Several databases of proved theorems have been developed
FFTW
The Fastest Fourier Transform in the West (FFTW) is a software library for computing discrete Fourier transforms (DFTs) developed by Matteo Frigo and Steven G. Johnson at the Massachusetts Institute o
GNU Octave
GNU Octave is a high-level programming language primarily intended for scientific computing and numerical computation. Octave helps in solving linear and nonlinear problems numerically, and for perfor
KaTeX
KaTeX is a cross-browser JavaScript library that displays mathematical notation in web browsers. It puts special emphasis on being fast and easy to use. It was initially developed by Khan Academy, and
TetGen
TetGen is a mesh generator developed by which is designed to partition any 3D geometry into tetrahedrons by employing a form of Delaunay triangulation whose algorithm was developed by the author. TetG
Graph-tool
graph-tool is a Python module for manipulation and statistical analysis of graphs (AKA networks). The core data structures and algorithms of graph-tool are implemented in C++, making extensive use of
GNU Units
GNU Units is a cross-platform computer program for conversion of units of quantities. It has a database of measurement units, including esoteric and historical units. This for instance allows conversi
CoCalc
CoCalc (formerly called SageMathCloud) is a web-based cloud computing (SaaS) and course management platform for computational mathematics. Part of the Sage project, it supports editing of Sage workshe
MADNESS
MADNESS (Multiresolution Adaptive Numerical Environment for Scientific Simulation)is a high-level software environment for the solution of integral and differential equations in many dimensions using
Sage Manifolds
SageManifolds (following styling of SageMath) is an extension fully integrated into SageMath, to be used as a package for differential geometry and tensor calculus. The official page for the project i
Adept (C++ library)
Adept is a combined automatic differentiation and array software library for the C++ programming language. The automatic differentiation capability facilitates the development of applications involvin
Template Numerical Toolkit
The Template Numerical Toolkit (or TNT) is a software library for manipulating vectors and matrices in C++ created by the U.S. National Institute of Standards and Technology. TNT provides the fundamen
FreeMat
FreeMat is a free open-source numerical computing environment and programming language, similar to MATLAB and GNU Octave. In addition to supporting many MATLAB functions and some IDL functionality, it
Demetra+
JDemetra+ is a computer program for seasonal adjustments that was developed and published by Eurostat – European Commission. It supports TRAMO&SEATS and X-12-ARIMA methods of adjustment.
Spyder (software)
Spyder is an open-source cross-platform integrated development environment (IDE) for scientific programming in the Python language. Spyder integrates with a number of prominent packages in the scienti
Perl Data Language
Perl Data Language (abbreviated PDL) is a set of free software array programming extensions to the Perl programming language. PDL extends the data structures built into Perl, to include large multidim
NetworkX
NetworkX is a Python library for studying graphs and networks. NetworkX is free software released under the BSD-new license.
Erable
Erable is a computer algebra system (CAS) for a family of Hewlett-Packard graphing scientific calculators of the HP 40, 48 and HP 49/50 series.
SageMath
SageMath (previously Sage or SAGE, "System for Algebra and Geometry Experimentation") is a computer algebra system (CAS) with features covering many aspects of mathematics, including algebra, combinat
JsMath
jsMath was a JavaScript library for displaying mathematics in browsers in a cross-platform way. jsMath is free software released under the Apache License. jsMath was succeeded by MathJax.
MathJax
MathJax is a cross-browser JavaScript library that displays mathematical notation in web browsers, using MathML, LaTeX and ASCIIMathML markup. MathJax is released as open-source software under the Apa
Owl Scientific Computing
Owl Scientific Computing is a software system for scientific and engineering computing developed in the Department of Computer Science and Technology, University of Cambridge. The System Research Grou
Xcas
Xcas is a user interface to Giac, which is an open source computer algebra system (CAS) for Windows, macOS and Linux among many other platforms. Xcas is written in C++. Giac can be used directly insid
Yacas
Yacas /ˈjækəs/ is a general-purpose computer algebra system. The name is an acronym for Yet Another Computer Algebra System. Released under the GNU Lesser General Public License, Yacas is free softwar
GNU Linear Programming Kit
The GNU Linear Programming Kit (GLPK) is a software package intended for solving large-scale linear programming (LP), mixed integer programming (MIP), and other related problems. It is a set of routin
Gmsh
Gmsh is a finite-element mesh generator developed by Christophe Geuzaine and Jean-François Remacle. Released under the GNU General Public License, Gmsh is free software. Gmsh contains 4 modules: for g
LaTeXML
LaTeXML is a free, public domain software, which converts LaTeX documents to XML, HTML, EPUB, JATS and TEI.
Scilab
Scilab is a free and open-source, cross-platform numerical computational package and a high-level, numerically oriented programming language. It can be used for signal processing, statistical analysis
Euler (software)
Euler (now Euler Mathematical Toolbox or EuMathT) is a free and open-source numerical software package. It contains a matrix language, a graphical notebook style interface, and a plot window. Euler is
Genius (mathematics software)
Genius (also known as the Genius Math Tool) is a free open-source numerical computing environment and programming language, similar in some aspects to MATLAB, GNU Octave, Mathematica and Maple. Genius
SymPy
SymPy is an open-source Python library for symbolic computation. It provides computer algebra capabilities either as a standalone application, as a library to other applications, or live on the web as
XaoS
XaoS is an interactive fractal zoomer program. It allows the user to continuously zoom in or out of a fractal in real-time. XaoS is licensed under GPL. The program is cross-platform, and is available
Mxparser
mXparser is an open-source mathematical expressions parser/evaluator providing abilities to calculate various expressions at a run time. Expressions definitions are given as plain text, then verified
IPython
IPython (Interactive Python) is a command shell for interactive computing in multiple programming languages, originally developed for the Python programming language, that offers introspection, rich m