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. Currently, Sympy has only around 1600 lines of code (including comments), and its capabilities include basic arithmetics, basic simplification, series expansion, functions (exp, ln, sin, cos, tan, etc.), differentiation, integration (currently it can do only very simple integrals), basic substitution, arbitrary precision integers and rationals, standard (Python) floats, basic complex numbers, and symbolic limits.
License: BSD License (revised)
Changes:
All SymPy functions now support vector arguments,
e.g. sin([1, 2, 3]). lambdify can now use numpy,
math, or mpmath. The order of lambdify arguments
has changed. All SymPy objects can be pickled. The
code was simplified, improved, and made more
robust. The broken limit_series was removed, so
there is just one limit implementation. Limits now
use .nseries. .nseries() was improved a lot. Polys
was improved. A basic kronecker delta and
Levi-Civita implementation was added.