Awesome Open Source Math Tools

     

A curated list of open-source tools, libraries, and resources for mathematical computations, covering areas such as linear algebra, calculus, numerical methods, optimization, and visualization.

Contents

• General Resources
• Symbolic Computation
• Numerical Methods
• Linear Algebra
• Optimization Tools
• Statistical Computing
• Visualization Tools
• Educational Resources
• Community and Forums
• Contribute
• License

General Resources

• What is Computational Mathematics? - An overview of computational mathematics and its applications.
• GNU Scientific Library (GSL) - A comprehensive library for numerical computations.
• SageMath - An open-source mathematics system that integrates many other open-source packages.

Symbolic Computation

• SymPy - A Python library for symbolic mathematics, including calculus and algebra.
• Maxima - A system for symbolic computation and algebra.
• GiNaC - A C++ library for symbolic computations.
• Reduce - A portable general-purpose computer algebra system.

Numerical Methods

• NumPy - A fundamental library for numerical computing in Python.
• SciPy - A Python library for scientific computing, including optimization, integration, and more.
• Julia - A high-performance programming language for numerical computing.
• OpenFOAM - A computational fluid dynamics (CFD) toolbox that includes numerical methods for solving equations.
• Octave - A MATLAB-compatible numerical computation tool.

Linear Algebra

• Eigen - A C++ library for linear algebra and matrix computations.
• LAPACK - A library for numerical linear algebra.
• Blaze - A high-performance C++ library for linear algebra.
• Armadillo - A C++ library for efficient linear algebra and matrix operations.
• MATLAB Engine API for Python - A Python interface for MATLAB linear algebra tools.

Optimization Tools

• COIN-OR - A collection of open-source tools for mathematical optimization.
• CVXPY - A Python library for convex optimization.
• GLPK - The GNU Linear Programming Kit for solving large-scale linear programs.
• Pyomo - A Python-based open-source optimization modeling tool.
• NLopt - A library for nonlinear optimization.

Statistical Computing

• R - A language and environment for statistical computing and graphics.
• Stan - A platform for statistical modeling and Bayesian inference.
• PyMC3 - A Python library for probabilistic programming.
• JASP - A statistical software for both Bayesian and Frequentist analyses.
• Dask - A library for parallel computing and big data analytics, often used for statistical computations.

Visualization Tools

• Matplotlib - A Python library for creating static, animated, and interactive visualizations.
• Plotly - A tool for creating high-quality interactive visualizations.
• Gephi - A graph visualization and exploration platform.
• ParaView - A tool for visualizing large-scale numerical simulations.
• Bokeh - A Python library for creating interactive visualizations.

Educational Resources

• Khan Academy: Math - Free online courses covering various math topics.
• MIT OpenCourseWare: Mathematics - Open courses on advanced mathematics topics.
• 3Blue1Brown - A YouTube channel explaining mathematical concepts visually.
• Paul’s Online Math Notes - A resource for calculus, algebra, and differential equations.
• Brilliant - Interactive problem-solving courses in mathematics and science.

Community and Forums

• Stack Exchange: Mathematics - A Q&A platform for math enthusiasts and professionals.
• r/math - A subreddit for discussing mathematical concepts and tools.
• SymPy Gitter - A community for SymPy users and developers.
• MATLAB Central - A community platform for MATLAB users.
• Julia Discourse - A community forum for Julia programming.

Contribute

Contributions are welcome!

License