symbolic-computation-guide
Computer algebra systems: SymPy, SageMath, and Mathematica for research
Profile →npx skills add brycewang-stanford/Auto-Empirical-Research-Skills --skill symbolic-computation-guide --agent claude-code
Same command for any agent — swap --agent for codex, cursor, copilot.
Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.
# Symbolic Computation Guide A skill for using computer algebra systems (CAS) in mathematical research. Covers symbolic differentiation, integration, equation solving, series expansion, linear algebra, and polynomial arithmetic using SymPy, SageMath, and Mathematica, with practical workflows for research mathematics. ## SymPy Fundamentals ### Symbolic Expressions and Manipulation ```python from sympy import ( symbols, expand, factor, simplify, cancel, apart, sin, cos, exp, log, sqrt, pi, oo, I, Rational, Eq, solve, solveset, S ) x, y, z, t, n, k = symbols("x y z t n k") a, b, c = symbols("a b c", real=True) # Expression manipulation expr = (x + 1) ** 3 expanded = expand(expr) # x**3 + 3*x**2 + 3*x + 1 factored = factor(expanded) # (x + 1)**3 # Trigonometric simplification from sympy import trigsimp trig_expr = sin(x)**2 + cos(x)**2 simplified = trigsimp(trig_expr) # 1 # Partial fraction decomposition rational = (x**2 + 2*x + 3) / ((x + 1) * (x + 2) * (x + 3)) partial = apart(rational, x) # 3/(2*(x + 3)) - 2/(x + 2) + 1/(2*(x + 1)) ``` ### Calculus ```python from sympy import diff, integrate, limit, series, Sum, Product # Differentiation f = x**3 * exp(-x) * sin(x) f_prime = diff(f,
- SymPy Fundamentals
- Symbolic Expressions and Manipulation
- Calculus
- Equation Solving
- Linear Algebra
- Symbolic Matrix Operations
- SageMath for Research
- Number Theory
- Combinatorics and Graph Theory
- Mathematica / Wolfram Language
- Common Research Patterns
- Practical Workflows
- Verifying Research Computations
- Tools and Resources
What does the symbolic-computation-guide skill do?
Computer algebra systems: SymPy, SageMath, and Mathematica for research
How do I install it?
Run `npx skills add brycewang-stanford/Auto-Empirical-Research-Skills --skill symbolic-computation-guide --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.
Where does this skill come from?
From brycewang-stanford/Auto-Empirical-Research-Skills, a repository with 3,244 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.
Is a popular skill a good skill?
Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.