### SymPy: Symbolic Mathematics in Python

Why SymPy SymPy is… Free: Licensed under BSD, SymPy is free both as in speech and as in beer. Python-based: SymPy is written entirely in Python and uses Python for its language. Lightweight: SymPy only depends on mpmath, a pure Python library for arbitrary floating point arithmetic, making it easy to use. A library: Beyond

## Why SymPy

SymPy is…

**Free:**Licensed under BSD, SymPy is free both as in speech and as in beer.**Python-based:**SymPy is written entirely in Python and uses Python for its language.**Lightweight:**

SymPy only depends on mpmath, a pure Python library for arbitrary

floating point arithmetic, making it easy to use.**A library:**Beyond use as an interactive tool, SymPy can be embedded in other applications and extended with custom functions.

## Projects using SymPy

This is an (incomplete) list of projects that use SymPy. If you use SymPy in

your project, please let us know on our mailinglist, so that we can add your

project here as well.

:

Cadabra

Tensor algebra and (quantum)

field theory system using SymPy for scalar algebra.:

ChemPy

A package useful for chemistry written in Python.:

devito

A symbolic DSL and just-in-time compiler for

high performance stencil computation.:

EinsteinPy

A Python package for symbolic and numerical

General Relativity.:

galgebra

Geometric algebra (previously sympy.galgebra).:

LaTeX Expression project

Easy LaTeX typesetting of algebraic expressions in symbolic

form with automatic substitution and result computation).:

Lcapy

Experimental Python package for teaching linear circuit

analysis.:

OctSymPy

A Symbolic Package for Octave using SymPy.:

Optlang

A Python package for solving mathematical optimization

problems.:

PyDy

Multibody dynamics in Python.:

pyneqsys

Solve symbolically defined systems of non-linear equations

numerically.:

pyodesys

Straightforward numerical integration of ODE systems from

Python.:

PyTorch TorchInductor

TorchInductor uses SymPy to support dynamic shapes and strides.:

QMCPACK

Quantum Monte Carlo in C++. Sympy is used to generate reference values for unit tests and some code generation.:

Quantum Programming in Python

Quantum 1D Simple Harmonic Oscillator and Quantum Mapping

Gate.:

SageMath

Open source mathematics system that

includes SymPy.:

Scikit-fdiff

Finite differences discretization.:

SfePy

Simple finite elements in Python.:

Spyder

The Scientific Python Development Environment, a Python

equivalent to Rstudio or MATLAB; full SymPy support can be enabled in

Spyder’s

IPython Consoles.:

Symbolic statistical modeling

Adding statistical operations to complex physical models.:

yt

Python package for analyzing and visualizing

volumetric data (unyt, the yt

unit system, uses SymPy).