josdejong/mathjs
Mathjs
Math.js is a comprehensive JavaScript library for scientific, complex, and arbitrary precision calculations. It functions as a symbolic computation engine, a linear algebra toolkit, a statistical analysis library, and a unit conversion system.
The project distinguishes itself by providing a symbolic engine capable of parsing, simplifying, and manipulating mathematical expressions algebraically without requiring immediate numerical evaluation. It includes a framework for defining and converting physical quantities with units of measure and automatic prefix support.
The library covers a broad range of mathematical capabilities, including linear algebra with dense and sparse matrix operations, statistical data analysis, and arbitrary precision arithmetic to avoid floating-point errors. It also provides utilities for expression parsing, boolean logic, and mathematical output formatting for LaTeX and HTML.
A command line interface is available for executing operations and managing variables directly through a terminal.
Features
- Scientific & Mathematical Computing - A comprehensive JavaScript library for scientific, complex, and arbitrary precision calculations.
- Symbolic Computation Engines - Provides a full symbolic engine for parsing, simplifying, and manipulating mathematical expressions algebraically.
- Unit Conversion - Resolves physical quantities by traversing a graph of conversion factors and prefixes.
- Unit Converters - Implements a comprehensive system for defining and converting physical quantities and units of measure.
- Expression Simplifiers - Provides a symbolic engine that reduces complex mathematical expressions to their most basic algebraic form.
- Scientific Computing - Enables complex scientific calculations using diverse data types like BigNumbers, fractions, and complex numbers.
- JavaScript Math Libraries - A comprehensive library for scientific, complex, and arbitrary precision calculations within JavaScript and Node.js environments.
- Linear Algebra Routines - Performs fundamental linear algebra operations such as LU decomposition, determinants, and matrix inverses.
- Matrix Manipulations - Provides utilities for creating, reshaping, and manipulating dense and sparse matrices.
- Arbitrary Precision Arithmetic - Executes high-precision calculations using specialized types to avoid floating-point round-off errors.
- Linear Algebra - Provides tools for creating and manipulating matrices and performing operations like LU decomposition and determinants.
- Derivative Calculators - Calculates rates of change by applying formal differentiation rules to an expression tree.
- Statistical Analysis Libraries - Provides a collection of functions for calculating mean, median, variance, and correlation across datasets and matrices.
- Symbolic Differentiation Tools - Calculates the symbolic derivative of mathematical expressions to find rates of change without numerical approximation.
- Symbolic Expression Manipulators - Manipulates mathematical expressions algebraically to transform them without performing immediate numerical evaluation.
- Symbolic Math Manipulators - Simplifies mathematical expressions and computes derivatives algebraically without evaluating them to a final number.
- Mathematical Function Registries - Provides a configurable map of mathematical operations and constants that allows users to add custom logic.
- Mathematical Data-to-String Converters - Converts numbers, matrices, and complex values into readable string formats including LaTeX and HTML.
- Expression Evaluators - Evaluates mathematical strings via an internal parser to perform scientific calculations on text input.
- Dynamic Type Dispatching Systems - Routes mathematical operations to specific handlers based on input data types such as BigNumbers or Matrices.
- Algebraic Reduction Rules - Transforms expressions into basic forms by repeatedly applying a predefined set of symbolic reduction rules.
- Computational Logic Extensions - Allows the addition of custom data types and new functions to increase the variety of supported operations.
- Expression Evaluators - Computes results from mathematical strings or compiled expressions using a defined set of variables.
- Statistical Analysis Libraries - Calculates mean, median, variance, standard deviation, and correlation for datasets.
- Sparse Matrix Storage - Optimizes memory for large matrices by storing only non-zero elements and their coordinate positions.
- Recursive Expression Parsers - Converts mathematical strings into an abstract syntax tree for execution via a recursive evaluation process.
- Math and Numbers - Extensive library for mathematical functions.
- Numeric and Math Utilities - Extensive library for mathematical operations.
