📊 math_operations_kit(basic_math)

A Node.js module providing a comprehensive set of basic and advanced mathematical functions, including arithmetic, trigonometry, logarithmic operations, matrix operations, and more.

✨ Features

• Basic Arithmetic Operations: Addition, Subtraction, Multiplication, Division, Modulus
• Advanced Arithmetic Operations: Power, Square Root, Absolute Value, Factorial
• Trigonometric Functions: Sine, Cosine, Tangent, Arcsine, Arccosine, Arctangent
• Logarithmic and Exponential Functions: Natural Logarithm, Logarithm Base 10, Exponential
• Miscellaneous Functions: Maximum, Minimum, Sum, Mean, Median, Standard Deviation, Variance
• Additional Functions: GCD, LCM, Prime Check, Fibonacci Sequence, Combination (nCr), Permutation (nPr), Quadratic Equation Solver
• Matrix Operations: Addition, Multiplication, Transpose

📦 Installation

To install the module, run:

npm install math_operations_kit

📚 Usage

Here are some examples of how to use the functions provided by the math_operations_kit module:

➕ Basic Arithmetic Functions

Importing Individual Functions

You can import individual functions directly from the module:

const add = require('math_operations_kit/add'); // Importing add function directly
const sub = require('math_operations_kit/sub');
const div = require('math_operations_kit/div');

console.log(add(1, 2)); // Expected: 3
console.log(sub(5, 3)); // Expected: 2
console.log(div(10, 2)); // Expected: 5

Importing the Entire Module

Alternatively, you can import the entire module and access functions through it:

const add = require('math_operations_kit');

console.log(math.add(2, 3)); // Output: 5
console.log(math.subtract(5, 2)); // Output: 3
console.log(math.multiply(4, 3)); // Output: 12
console.log(math.divide(10, 2)); // Output: 5
console.log(math.modulus(10, 3)); // Output: 1

🚀 Advanced Arithmetic Functions

console.log(math.power(2, 3)); // Output: 8
console.log(math.sqrt(16)); // Output: 4
console.log(math.abs(-5)); // Output: 5
console.log(math.factorial(5)); // Output: 120

📐 Trigonometric Functions

console.log(math.sine(Math.PI / 2)); // Output: 1
console.log(math.cosine(Math.PI)); // Output: -1
console.log(math.tangent(Math.PI / 4)); // Output: 1

📈 Logarithmic and Exponential Functions

console.log(math.naturalLog(Math.E)); // Output: 1
console.log(math.logBase10(100)); // Output: 2
console.log(math.exponential(1)); // Output: 2.718281828459045

📊 Miscellaneous Functions

console.log(math.max(1, 2, 3, 4, 5)); // Output: 5
console.log(math.min(1, 2, 3, 4, 5)); // Output: 1
console.log(math.sum([1, 2, 3, 4, 5])); // Output: 15
console.log(math.mean([1, 2, 3, 4, 5])); // Output: 3
console.log(math.median([1, 2, 3, 4, 5])); // Output: 3
console.log(math.standardDeviation([1, 2, 3, 4, 5])); // Output: ~1.414
console.log(math.variance([1, 2, 3, 4, 5])); // Output: 2

⚙️ Additional Functions

console.log(math.gcd(8, 12)); // Output: 4
console.log(math.lcm(8, 12)); // Output: 24
console.log(math.isPrime(17)); // Output: true
console.log(math.fibonacci(10)); // Output: [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55]
console.log(math.combination(5, 2)); // Output: 10
console.log(math.permutation(5, 2)); // Output: 20
console.log(math.solveQuadratic(1, -3, 2)); // Output: [2, 1]

Solve Quadratic Equation

To solve a quadratic equation of the form a(x^2) + bx + c = 0 , you can use the solveQuadratic function:

const [root1, root2] = math.solveQuadratic(1, -3, 2);
console.log('Roots of the quadratic equation:');
console.log(`Root 1: ${root1}`); // Output: 2
console.log(`Root 2: ${root2}`); // Output: 1

🧮 Matrix Operations

const { Matrix } = require('math_operations_kit');

for matrix applications , you have import this additionally ,

const matrix1 = new math.Matrix([[1, 2], [3, 4]]);
const matrix2 = new math.Matrix([[5, 6], [7, 8]]);
const matrixSum = matrix1.add(matrix2);
console.log(matrixSum.data); // Output: [[6, 8], [10, 12]]

const matrixProduct = matrix1.multiply(matrix2);
console.log(matrixProduct.data); // Output: [[19, 22], [43, 50]]

const matrixTranspose = matrix1.transpose();
console.log(matrixTranspose.data); // Output: [[1, 3], [2, 4]]

📄 License

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

🤝 Contributing

Please feel free to use the module and connect with me if you encounter any errors or have suggestions for improvements. You can reach me at [[email protected]].

🔗 GitHub Repository

Find the source code and contribute on GitHub.