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SageMath is a free open-source mathematics software system licensed under the GPL. It builds on top of many existing open-source packages: NumPy, SciPy, matplotlib, Sympy, Maxima, GAP, FLINT, R and many more. Access their combined power through a common, Python-based language or directly via interfaces or wrappers.
Mission: Creating a viable free open source alternative to Magma, Maple, Mathematica and Matlab.

Learn how to use SageMath:

Sage for Undergraduates by Gregory Bard (Spanish: Sage para Estudiantes de Pregrado)

Mathematical Computation with Sage by Paul Zimmermann et al.
(French: Calcul mathématique avec Sage, German: Rechnen mit Sage)

Sage on CoCalc

Install 10.5

Help/Documentation

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Help SageMath by becoming a ♥ Sponsor

Donations are handled via SageMath GitHub Organization with Open Source Collective as fiscal host.
One-time and recurring donations can also be done via SageMath Open Source Collective; credit cards/PayPal/bank transfers are accepted. Open Source Collective is a USA IRC 501(c)(6) registered tax-exempt charity.