• SymPy

SymPy is a symbolic manipulation package, written in pure Python. Its aim is to become a full featured CAS in Python, while keeping the code as simple as possible in order to be comprehensible and easily extensible.

Homepage: https://sympy.org/

Source Code: https://github.com/sympy/sympy

Mailing list: https://groups.google.com/forum/?fromgroups#!forum/sympy

Examples

>>> from sympy import *
>>> x, y, z, t = symbols('x y z t')
>>> k, m, n = symbols('k m n', integer=True)

>>> integrate(exp(x)*x**2, x)
⎛ 2          ⎞  x
⎝x  - 2⋅x + 2⎠⋅ℯ

>>> expand((x + y)**3)
 3      2          2    3
x  + 3⋅x ⋅y + 3⋅x⋅y  + y
>>> factor(_)
       3
(x + y)

>>> Sum((-1)**n*x**n/factorial(n), (n, 0, oo))
  ∞
 ____
 ╲
  ╲       n  n
   ╲  (-1) ⋅x
   ╱  ────────
  ╱      n!
 ╱
 ‾‾‾‾
n = 0
>>> _.doit()
 -x
ℯ