SageMath


SageMath is a computer algebra system with features covering many aspects of mathematics, including algebra, combinatorics, graph theory, group theory, differentiable manifolds, numerical analysis, number theory, calculus, and statistics.
The first version of SageMath was released on 24 February 2005 as open-source software">Open source">open-source software under the terms of the GNU General Public License version 2, with the initial goals of creating an "open source alternative to Magma, Maple, Mathematica, and MATLAB". The originator and leader of the SageMath project, William Stein, was a mathematician at the University of Washington.
SageMath uses a syntax resembling Python's, supporting procedural, functional, and object-oriented constructs.

Development

Stein realized when designing Sage that there were many open-source mathematics software packages already written in different languages, namely C, C++, Common Lisp, Fortran and Python.
Rather than reinventing the wheel, Sage integrates many specialized CAS software packages into a common interface, for which a user needs to know only Python. However, Sage contains hundreds of thousands of unique lines of code adding new functions and creating the interfaces among its components.
SageMath uses both students and professionals for development. The development of SageMath is supported by both volunteer work and grants. However, it was not until 2016 that the first full-time Sage developer was hired. The same year, Stein described his disappointment with a lack of academic funding and credentials for software development, citing it as the reason for his decision to leave his tenured academic position to work full-time on the project in a newly founded company, SageMath Inc.

Achievements

Licensing and availability

SageMath is free software, distributed under the terms of the GNU General Public License version 3.
;Windows
SageMath 10.0 requires Windows Subsystem for Linux in version 2, which in turn requires Windows to run as a Hyper-V client. SageMath 8.0, with development funded by the OpenDreamKit project, successfully built on Cygwin, and a binary installer for 64-bit versions of Windows was available. Although Microsoft was sponsoring a Windows version of SageMath, prior to 2016 users of Windows had to use virtualization technology such as VirtualBox to run SageMath.
;Linux
SageMath is available as a package in some Linux distributions, including Arch Linux, Debian, Guix, Ubuntu and NixOS. In Gentoo, it is available via layman in the "sage-on-gentoo" overlay. The packages used by NixOS and Gnu Guix are available for use on other distributions, due to the distribution-agnostic nature of their package managers.
;Other operating systems
Gentoo prefix also provides Sage on other operating systems.

Software packages contained in SageMath

The philosophy of SageMath is to use existing open-source libraries wherever they exist. Therefore, it uses many libraries from other projects.
Mathematics packages
contained in SageMath
AlgebraGAP, Singular, FLINT
Mathematics packages
contained in SageMath
Algebraic geometrySingular
Mathematics packages
contained in SageMath
Arbitrary-precision arithmeticGMP, MPFR, MPFI, NTL, mpmath, Arb
Mathematics packages
contained in SageMath
Arithmetic geometryPARI/GP, NTL, mwrank, ECM
Mathematics packages
contained in SageMath
CalculusMaxima, SymPy, GiNaC, Giac, FriCAS
Mathematics packages
contained in SageMath
CombinatoricsSymmetrica, Sage-Combinat
Mathematics packages
contained in SageMath
Linear algebraATLAS, BLAS, LAPACK, NumPy, LinBox, IML, GSL
Mathematics packages
contained in SageMath
Graph theoryNetworkX
Mathematics packages
contained in SageMath
Group theoryGAP
Mathematics packages
contained in SageMath
Numerical computationGSL, SciPy, NumPy, ATLAS
Mathematics packages
contained in SageMath
Number theoryPARI/GP, FLINT, NTL
Mathematics packages
contained in SageMath
Statistical computingR, SciPy
Other packages
contained in SageMath
Command-line shellIPython
Other packages
contained in SageMath
DatabaseZODB, SQLite
Other packages
contained in SageMath
Graphical interfaceSageMath Notebook, MathJax
Other packages
contained in SageMath
Graphicsmatplotlib, Tachyon, GD, Jmol
Other packages
contained in SageMath
Interactive programming languagePython
Other packages
contained in SageMath
NetworkingTwisted
Other Mathematics package
available for SageMath
Differential geometry and tensor calculusSage Manifolds