SymPy is a Python library for symbolic computation. It provides computer algebra capabilities either as a standalone application, as a library to other applications, or live on the web as SymPy Live or SymPy Gamma.
License: Open Source
Maxima excels in symbolic computation and algebraic manipulation, making it suitable for advanced mathematical tasks, while SymPy offers a more user-friendly experience and is easier to integrate into Python projects. While both support numerical computation and graphing, Maxima may be more suited for users focused on symbolic mathematics, whereas SymPy is ideal for those who prefer working within the Python ecosystem.