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symbolic-computation

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Computer algebra with SymPy — exact calculus, equation solving, series, and generating verified numerical code.

skills/symbolic-computation/SKILL.md

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## Overview

Symbolic computation manipulates mathematics exactly: derivatives,
integrals, series, matrix algebra, and differential equations in closed
form. This skill covers SymPy workflows — when exact answers beat
numerics, how to simplify without getting lost, solving ODEs/PDEs
symbolically, and lambdifying verified expressions into fast numerical
code.

## When to use

- Deriving formulas: gradients, Jacobians, series expansions, perturbation theory
- Checking hand calculations: differentiate/integrate to verify algebra
- Solving ODEs analytically before resorting to numerics