SymPy - Symbolic Mathematics

Python library for symbolic mathematics, providing computer algebra system (CAS) capabilities entirely in Python.

When to Use

• Symbolic expressions and algebraic manipulation
• Calculus (derivatives, integrals, limits, series expansions)
• Solving equations (algebraic, transcendental, differential)
• Simplification and transformation of expressions
• Matrix operations and linear algebra (symbolic)
• Special mathematical functions
• Mathematical proofs and verification
• Code generation (C, Fortran, LaTeX)
• Physics calculations (mechanics, quantum mechanics)
• Number theory and discrete mathematics
• Logic and Boolean algebra
• Geometric algebra