最近搜索了一下，Mathematica 的替代品，发现了专门有网站给出了解决方案 ¹。

排名第一的是：SageMat ²，基于 Python 。

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.

“Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, and MATLAB”

• SageMath is the most popular Web-based, Windows, Mac & Linux alternative to Mathematica.
• SageMath is the most popular Open Source & free alternative to Mathematica.

GitHub ³的活跃度不错，近期有更新。

学习的最快方式是：看原版的手册 ⁴。

参考

1. Free Mathematica Alternatives | AlternativeTo
2. SageMath - Open-Source Mathematical Software System
3. sagemath/sage: Main repository of SageMath. Now open for Issues and Pull Requests.
4. Tutorial