SymPy

SymPy is an open-source Python library for symbolic mathematics. It aims to become a full-featured computer algebra system (CAS) while keeping the code as simple as possible to be comprehensible and easily extensible. SymPy is written entirely in Python and does not require any external libraries. It provides capabilities for symbolic computation including basic arithmetic, simplification, expansion, substitution, calculus (limits, differentiation, integration), solving equations (linear, polynomial, differential), linear algebra (matrices, eigenvalues), discrete mathematics (combinatorics, number theory), and more. SymPy can be used interactively as a calculator or embedded in other applications. It is particularly useful for researchers, educators, and students who need to perform symbolic manipulations without relying on proprietary software like Mathematica or Maple. SymPy is also the core engine behind the SageMath system and is used in various scientific computing projects.

SymPy is a mature, well-established library with consistent community interest. Its presence on trendsmeter reflects ongoing relevance in scientific computing and education.