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. → Tour, Tutorial, Documentation
Mission: Creating a viable free open source alternative to Magma, Maple, Mathematica and Matlab.
SageMath and lmonade are searching for students for this summer's GSoC! We have many exciting projects for students to work over the summer and to get mentored by experts in the field: SageMath , lmonade

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