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SymPy

Maintainer K-Dense Inc. · Last updated April 1, 2026

SymPy is a Python library for symbolic mathematics that enables exact computation using mathematical symbols rather than numerical approximations. This skill provides comprehensive guidance for performing symbolic algebra, calculus, linear algebra, equation solving, physics calculations, and code generation using SymPy.

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Original source

K-Dense-AI/claude-scientific-skills

https://github.com/K-Dense-AI/claude-scientific-skills/tree/main/scientific-skills/sympy

Maintainer: K-Dense Inc.
License: https://github.com/sympy/sympy/blob/master/LICENSE
Last updated: April 1, 2026

Skill Snapshot

Key Details From SKILL.md

2 min

Key Notes

SymPy is a Python library for symbolic mathematics that enables exact computation using mathematical symbols rather than numerical approximations. This skill provides comprehensive guidance for performing symbolic algebra, calculus, linear algebra, equation solving, physics calculations, and code generation using SymPy.
x = symbols('x', real=True, positive=True) n = symbols('n', integer=True) python from sympy import simplify, expand, factor, cancel simplify(sin(x)2 + cos(x)2) # Returns 1 expand((x + 1)3) # x3 + 3x2 + 3x + 1 factor(x*2 - 1) # (x - 1)(x + 1).
For detailed basics: See references/core-capabilities.md.

Source Doc

Excerpt From SKILL.md

When to Use This Skill

Use this skill when:

Solving equations symbolically (algebraic, differential, systems of equations)
Performing calculus operations (derivatives, integrals, limits, series)
Manipulating and simplifying algebraic expressions
Working with matrices and linear algebra symbolically
Doing physics calculations (mechanics, quantum mechanics, vector analysis)
Number theory computations (primes, factorization, modular arithmetic)
Geometric calculations (2D/3D geometry, analytic geometry)
Converting mathematical expressions to executable code (Python, C, Fortran)
Generating LaTeX or other formatted mathematical output
Needing exact mathematical results (e.g., sqrt(2) not 1.414...)

1. Symbolic Computation Basics

Creating symbols and expressions:

from sympy import symbols, Symbol
x, y, z = symbols('x y z')
expr = x**2 + 2*x + 1

## 2. Calculus

**Derivatives:**

**Integrals:**

**Limits and Series:**

**For detailed calculus operations:** See `references/core-capabilities.md`