josdejong/mathjs

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.

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