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
SymPy is an open-source Python library focused on symbolic mathematics, making it a great choice for users who prefer flexibility and integration with Python. Maple, on the other hand, is a commercial software with a comprehensive user interface and advanced capabilities, ideal for users who need robust numerical and symbolic computations in a more user-friendly package.