math
Unified math capabilities - computation, solving, and explanation. I route to the right tool.
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Install
Works with every agent the skills CLI supports.
npx skills add https://github.com/parcadei/continuous-claude-v3 --skill math- 01
Install
Run the command in your project. The CLI asks which agents to install for.
- 02
Describe the task
Ask your agent for something this skill covers. It loads math automatically when relevant.
- 03
Review the result
The agent follows the SKILL.md steps, scripts and references bundled with the skill.
SKILL.md
The instructions your agent reads when the skill is triggered.
/math - Unified Math Capabilities
One entry point for all computation and explanation. I route to the right tool based on your request.
For formal proofs, use /prove instead.
Quick Examples
| You Say | I Use |
|---|---|
| "Solve x² - 4 = 0" | SymPy solve |
| "Integrate sin(x) from 0 to π" | SymPy integrate |
| "Eigenvalues of [[1,2],[3,4]]" | SymPy eigenvalues |
| "Is x² + 1 > 0 for all x?" | Z3 prove |
| "Convert 5 miles to km" | Pint |
| "Explain what a functor is" | Category theory skill |
Computation Scripts
SymPy (Symbolic Math)
uv run python "$CLAUDE_PROJECT_DIR/.claude/scripts/cc_math/sympy_compute.py" <command> <args>
| Command | Description | Example |
|---|---|---|
solve | Solve equations | solve "x**2 - 4" --var x |
integrate | Definite/indefinite integral | integrate "sin(x)" --var x --lower 0 --upper pi |
diff | Derivative | diff "x**3" --var x |
simplify | Simplify expression | simplify "sin(x)**2 + cos(x)**2" |
limit | Compute limit | limit "sin(x)/x" --var x --point 0 |
series | Taylor expansion | series "exp(x)" --var x --point 0 --n 5 |
dsolve | Solve ODE | dsolve "f''(x) + f(x)" --func f --var x |
laplace | Laplace transform | laplace "sin(t)" --var t |
Matrix Operations:
| Command | Description |
|---|---|
det | Determinant |
eigenvalues | Eigenvalues |
eigenvectors | Eigenvectors with multiplicities |
inverse | Matrix inverse |
transpose | Transpose |
rref | Row echelon form |
rank | Matrix rank |
nullspace | Null space basis |
linsolve | Linear system Ax=b |
charpoly | Characteristic polynomial |
Number Theory:
| Command | Description |
|---|---|
factor | Factor polynomial |
factorint | Prime factorization |
isprime | Primality test |
gcd | Greatest common divisor |
lcm | Least common multiple |
modinverse | Modular inverse |
Combinatorics:
| Command | Description |
|---|---|
binomial | C(n,k) |
factorial | n! |
permutation | P(n,k) |
partition | Integer partitions p(n) |
catalan | Catalan numbers |
bell | Bell numbers |
Z3 (Constraint Solving)
uv run python "$CLAUDE_PROJECT_DIR/.claude/scripts/cc_math/z3_solve.py" <command> <args>
| Command | Use Case |
|---|---|
sat | Is this satisfiable? |
prove | Is this always true? |
optimize | Find min/max subject to constraints |
Pint (Units)
uv run python "$CLAUDE_PROJECT_DIR/.claude/scripts/cc_math/pint_compute.py" convert <value> <from_unit> <to_unit>
Example: convert 5 miles kilometers
Math Router (Auto-Route)
uv run python "$CLAUDE_PROJECT_DIR/.claude/scripts/cc_math/math_router.py" route "<natural language request>"
Returns the exact command to run. Use when unsure which script.
Topic Skills (For Explanation)
When the request is "explain X" or "what is X", I reference these:
| Topic | Skill Location | Key Concepts |
|---|---|---|
| Abstract Algebra | math/abstract-algebra/ | Groups, rings, fields, homomorphisms |
| Category Theory | math/category-theory/ | Functors, natural transformations, limits |
| Complex Analysis | math/complex-analysis/ | Analytic functions, residues, contour integrals |
| Functional Analysis | math/functional-analysis/ | Banach spaces, operators, spectra |
| Linear Algebra | math/linear-algebra/ | Matrices, eigenspaces, decompositions |
| Mathematical Logic | math/mathematical-logic/ | Propositional, predicate, proof theory |
| Measure Theory | math/measure-theory/ | Lebesgue, σ-algebras, integration |
| Real Analysis | math/real-analysis/ | Limits, continuity, convergence |
| Topology | math/topology/ | Open sets, compactness, connectedness |
| ODEs/PDEs | math/odes-pdes/ | Differential equations, boundary problems |
| Optimization | math/optimization/ | Convex, LP, gradient methods |
| Numerical Methods | math/numerical-methods/ | Approximation, error analysis |
| Graph/Number Theory | math/graph-number-theory/ | Graphs, primes, modular arithmetic |
| Information Theory | math/information-theory/ | Entropy, coding, channels |
Routing Logic
I decide based on your request:
"solve/calculate/compute" → SymPy (exact symbolic)
"is X always true?" → Z3 (constraint proving)
"convert units" → Pint
"explain/what is" → Topic skill for context
"prove formally" → Redirect to /prove
Examples
Solve Equation
User: Solve x² - 5x + 6 = 0
Claude: uv run python "$CLAUDE_PROJECT_DIR/.claude/scripts/cc_math/sympy_compute.py" solve "x**2 - 5*x + 6" --var x
Result: x = 2 or x = 3
Compute Eigenvalues
User: Find eigenvalues of [[2, 1], [1, 2]]
Claude: uv run python "$CLAUDE_PROJECT_DIR/.claude/scripts/cc_math/sympy_compute.py" eigenvalues "[[2,1],[1,2]]"
Result: {1: 1, 3: 1} (eigenvalue 1 with multiplicity 1, eigenvalue 3 with multiplicity 1)
Prove Inequality
User: Is x² + y² ≥ 2xy always true?
Claude: uv run python "$CLAUDE_PROJECT_DIR/.claude/scripts/cc_math/z3_solve.py" prove "x**2 + y**2 >= 2*x*y"
Result: PROVED (equivalent to (x-y)² ≥ 0)
Convert Units
User: How many kilometers in 26.2 miles?
Claude: uv run python "$CLAUDE_PROJECT_DIR/.claude/scripts/cc_math/pint_compute.py" convert 26.2 miles kilometers
Result: 42.16 km
When to Use /prove Instead
Use /prove when you need:
- Machine-verified formal proof (Lean 4)
- Category theory proofs (functors, Yoneda, etc.)
- Publication-quality verification
- Abstract algebra proofs
/math is for computation. /prove is for verification.
FAQ
What does the math skill do?
Unified math capabilities - computation, solving, and explanation. I route to the right tool.
How do I install math?
Run npx skills add https://github.com/parcadei/continuous-claude-v3 --skill math in your project. The skills CLI detects the agents you use and copies the skill into the right folder. For Claude Code you can also place the skill folder at ~/.claude/skills/math/ (personal) or .claude/skills/math/ (project).
Which AI agents can use math?
Any agent that supports the open Agent Skills format (a folder with a SKILL.md file), including Claude Code, Codex, Cursor, GitHub Copilot, Gemini CLI, Windsurf, Cline, OpenCode and more.
Is math safe to install?
No partner security audit is available yet. Skills can run commands and scripts, so read the SKILL.md and any bundled files before installing.
Who maintains math?
It is published by parcadei in parcadei/continuous-claude-v3. It has 876 recorded installs.
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