npm install -g advanced-math-mcp

{
  "mcpServers": {
    "advanced-math-mcp": {
      "command": "advanced-math-mcp",
      "args": [],
      "alwaysAllow": [
        "evaluate",
        "set_variable",
        "get_variable",
        "list_variables",
        "clear_variables",
        "matrix_create",
        "matrix_identity",
        "matrix_zeros",
        "matrix_diagonal",
        "symbolic_simplify",
        "symbolic_substitute",
        "symbolic_derivative",
        "symbolic_expand",
        "symbolic_integrate",
        "symbolic_definite_integral",
        "symbolic_limit",
        "symbolic_partial_derivative"
      ]
    }
  }
}

// Arithmetic
evaluate("A + B")           // addition
evaluate("A - B")           // subtraction
evaluate("A * B")           // matrix multiplication
evaluate("A ^ 3")           // matrix power

// Properties
evaluate("det(A)")          // determinant
evaluate("trace(A)")        // trace
evaluate("rank(A)")         // rank
evaluate("inv(A)")          // inverse
evaluate("transpose(A)")    // transpose

// Decompositions
evaluate("eig(A)")          // eigenvalues & eigenvectors
evaluate("charpoly(A)")     // characteristic polynomial (2×2, 3×3)
evaluate("lu(A)")           // LU decomposition
evaluate("qr(A)")           // QR decomposition
evaluate("svd(A)")          // singular value decomposition

// Linear systems
evaluate("solve(A, b)")     // solve Ax = b

evaluate("dot([1,2,3], [4,5,6])")       // dot product → 32
evaluate("cross([1,2,3], [4,5,6])")     // cross product → [-3, 6, -3]
evaluate("norm([3,4])")                  // L2 norm → 5
evaluate("norm([3,4], \"1\")")           // L1 norm → 7
evaluate("project([3,4], [1,0])")        // vector projection → [3, 0]

evaluate("[[1,2],[3,4]] * [[5,6],[7,8]]")  // → [[19,22],[43,50]]
evaluate("det([[4,1],[2,3]])")              // → 10
evaluate("inv([[4,7],[2,6]])")             // → [[0.6,-0.7],[-0.2,0.4]]

set_variable("A", "[[1,2],[3,4]]")
set_variable("B", "[[5,6],[7,8]]")
evaluate("A * B")          // uses stored variables
list_variables()           // see all defined variables
clear_variables()          // reset

symbolic_simplify("x^2 + 2*x + 1 - (x+1)^2")  // → 0
symbolic_expand("(x+1)*(x-1)*(x+2)")           // → x^3 + 2x^2 - x - 2

// Single variable
symbolic_substitute("x^2 + 2*x", { x: "3" })      // → 15

// Multi-variable
symbolic_substitute("x^2 + y*x + z", { x: "3", y: "2", z: "1" })  // → 16

// Derivatives
symbolic_derivative("x^3 + 2*x^2", "x")              // → 3x^2 + 4x
symbolic_partial_derivative("x^2*y + sin(z)", "x", 2) // → 2y (second partial)

// Integration
symbolic_integrate("x^2 + sin(x)", "x")               // → 0.333x^3 - cos(x) + C
symbolic_definite_integral("x^2", "x", "0", "2")      // → 2.667 (∫₀² x² dx)

// Limits
symbolic_limit("sin(x)/x", "x", "0")                  // → 1

src/
├── index.ts              # Entry point, loads nerdamer plugins
├── server.ts             # MCP server setup, tool routing
├── types.ts              # Shared types and Zod schemas
├── engine/
│   ├── evaluator.ts      # Unified expression evaluator (mathjs + custom functions)
│   ├── symbolic.ts        # Symbolic engine (nerdamer + mathjs)
│   ├── math-engine.ts     # Low-level matrix operations
│   └── format.ts          # Output formatting utilities
└── tools/
    ├── evaluate.ts        # evaluate + variable management tools
    ├── matrix-create.ts   # matrix_create, identity, zeros, diagonal
    ├── symbolic.ts        # symbolic_simplify, substitute, derivative, expand
    └── calculus.ts        # symbolic_integrate, definite_integral, limit, partial_derivative

git clone https://github.com/PsyWhat/advanced-math-mcp.git
cd advanced-math-mcp
npm install
npm run build        # compile TypeScript
npm run dev          # watch mode
npm link             # install globally for local testing

npm test             # run all tests (vitest)
npm run test:watch   # watch mode
npm run typecheck    # TypeScript validation only