Arimathic

arimathic is a comprehensive Node.js library providing a wide range of mathematical operations. From basic arithmetic to advanced calculus, this library aims to cover various mathematical needs.

Features

Arithmetic

• Addition, Subtraction, Multiplication, Division
• Modulus, Exponentiation, Floor Division

Algebra

• Solving Linear and Quadratic Equations
• Polynomial Operations
• Factoring Polynomials
• Matrix Operations

Geometry

• Area, Perimeter of Shapes
• Volume, Surface Area of Solids
• Pythagorean Theorem, Distance Between Points
• Coordinate Geometry Calculations

Calculus

• Derivatives (First and Higher-Order)
• Integrals (Definite and Indefinite)
• Limits, Series Expansions
• Differential Equations

Trigonometry

• Trigonometric Functions (Sine, Cosine, Tangent, etc.)
• Inverse Functions, Law of Sines, Law of Cosines
• Angle Conversion, Trigonometric Identities

Statistics

• Mean, Median, Mode
• Standard Deviation, Variance
• Probability Calculations
• Distribution Functions (Normal, Binomial, Poisson)

Number Theory

• Prime Identification, Factorization
• GCD, LCM, Modular Arithmetic
• Fibonacci Sequence, Factorials

Linear Algebra

• Vector and Matrix Operations
• Eigenvalues, Eigenvectors
• Solving Linear Systems

Set Theory

• Set Operations (Union, Intersection, Difference)
• Cartesian Product, Subsets
• Venn Diagrams, Cardinality

Combinatorics

• Permutations, Combinations
• Binomial Theorem, Pigeonhole Principle

Graph Theory

• Graph Representation
• Search Algorithms (BFS, DFS)
• Shortest Path, Minimum Spanning Tree
• Graph Coloring

Boolean Algebra

• Logical Operations (AND, OR, NOT, etc.)
• Truth Tables, Karnaugh Maps

Miscellaneous

• Sorting and Searching Algorithms
• Random Number Generation
• Complex Number Operations
• Base Conversions, Bitwise Operations
• Rounding Functions, Logarithms

Installation

npm install arimathic

Usage

const arimathic = require('arimathic');

// Example: Arithmetic Operations
console.log(arimathic.add(5, 3)); // Output: 8

For detailed documentation, please refer to our Docusaurus site.