SageMath

SageMath

SageMath is an open-source mathematics software system licensed under the GPL. It builds on top of many existing open-source packages including NumPy, SciPy, matplotlib, Sympy, and more. It provides an interactive environment and library to support research and teaching across al
SageMath image
algebra analysis calculus combinatorics geometry number-theory research teaching

SageMath: Open-Source Mathematics Software

Open-source mathematics software system licensed under the GPL, building on top of NumPy, SciPy, matplotlib, Sympy, and more for research and teaching across various mathematical disciplines.

What is SageMath?

SageMath is an open-source mathematics software system that provides a viable free open source alternative to Magma, Maple, Mathematica and MATLAB. It is based on Python and implements a huge range of mathematics functionality including:

  • Algebra - including commutative algebra, group theory, combinatorics, graph theory, exact linear algebra, and more
  • Calculus - including real and complex analysis, multivariate calculus, vector calculus, differential equations, etc.
  • Number Theory - including algebraic number theory, arithmetic geometry, diophantine geometry, analytic number theory, etc.
  • Geometry - including algebraic geometry, differential geometry, projective geometry, toric geometry, etc.
  • Cryptography - including elliptic curves, lattice-based cryptography, and classical cryptography
  • Numerical Analysis - linear optimization, numerical linear algebra, root finding and minimization, numerical calculus, dynamical systems, etc.
  • Probability and Statistics
  • And much more across pure and applied mathematics

SageMath builds on top of many existing open-source packages including NumPy, SciPy, matplotlib, Sympy, and more. It provides an interactive environment to use these packages effectively for advanced mathematics as well as a library written in Python for extensibility. SageMath supports LaTeX output for high-quality math typesetting. It provides extensive documentation and many textbooks have been written using SageMath.

SageMath provides a viable free open source alternative to expensive proprietary software like Magma, Maple, Mathematica and MATLAB for research and teaching in mathematics and related fields. It runs on all major platforms and has thousands of users around the world across academia and industry.

SageMath Features

Features

  1. Open-source mathematical software system
  2. Supports various mathematical domains like algebra, calculus, combinatorics, numerical computation
  3. Includes libraries like NumPy, SciPy, SymPy, Matplotlib
  4. Interactive notebook interface (Sage Notebook) for calculations, plotting, documentation
  5. Supports code in Python, Cython, C/C++, Fortran and more
  6. Can be used as a server to collaborate with others

Pricing

  • Open Source

Pros

Free and open source

Very extensive math functionality

Integrates many existing math libraries

Can be extended by writing new modules

Notebook interface good for learning and documentation

Cons

Less user friendly than some commercial alternatives

Not as fast as optimized commercial math software

Requires more programming knowledge than some alternatives

Documentation can be technical

Not as polished UI as some alternatives


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