Math Master

A comprehensive math package for Node.js and TypeScript with support for fractions, geometry, trigonometry, statistics, calculus, number theory, and matrix operations.

Installation

npm install math-master

Features

• Fractions: Complete fraction operations including addition, subtraction, multiplication, division, simplification, mixed numbers, and more
• Geometry: Area, perimeter, and volume calculations for common shapes
• Trigonometry: Trigonometric functions and their inverses
• Statistics: Mean, median, mode, standard deviation, and more
• Calculus: Numerical differentiation, integration, and Taylor series
• Number Theory: Prime numbers, GCD, LCM, modular arithmetic, and more
• Matrix: Linear algebra operations including matrix multiplication, determinants, and eigenvalues

Usage

Fractions

import { fractions } from 'math-master';

// Create and simplify fractions
const half = fractions.create(1, 2);
const third = fractions.create(1, 3);

// Basic operations
const sum = fractions.add(half, third);  // 5/6
const product = fractions.multiply(half, third);  // 1/6

// Mixed numbers
const mixed = fractions.toMixedNumber(fractions.create(7, 2));  // { whole: 3, numerator: 1, denominator: 2 }

// Golden ratio
const golden = fractions.goldenRatio.value;  // 1.618033988749895

// Solve equations
const x = fractions.solveForX({
  left: fractions.create(1, 2),
  right: fractions.create(3, 4),
  xPosition: 'numerator'
});

Geometry

import { geometry } from 'math-master';

// Circle calculations
const circleArea = geometry.circle.area(5);  // 78.54
const circlePerimeter = geometry.circle.perimeter(5);  // 31.42

// Triangle calculations
const triangleArea = geometry.triangle.area(3, 4, 5);  // 6

Statistics

import { stats } from 'math-master';

const data = [1, 2, 3, 4, 5];
const mean = stats.mean(data);  // 3
const stdDev = stats.standardDeviation(data);  // 1.414

Matrix Operations

import { matrix } from 'math-master';

const A = matrix.create([
  [1, 2],
  [3, 4]
]);
const B = matrix.create([
  [5, 6],
  [7, 8]
]);

const product = matrix.multiply(A, B);
const det = matrix.determinant(A);  // -2

API Documentation

For detailed API documentation, visit our documentation page.

Contributing

Contributions are welcome! Please feel free to submit a Pull Request.

License

This project is licensed under the MIT License - see the LICENSE file for details.