What is SageMath?
SageMath is a free, open-source mathematics software system built on top of Python. Rather than building everything from scratch, it integrates dozens of well-established mathematical libraries — NumPy, SciPy, PARI/GP, Maxima, R, and many more — under one unified Python-based interface. The goal, as its creator William Stein put it, was to create a "viable free open source alternative to Magma, Maple, Mathematica, and MATLAB."
It means you can do symbolic algebra, number theory, algebraic geometry, combinatorics, graph theory, linear programming, and numerical computation all from the same environment.
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