mathjs

What is mathjs?

mathjs is an extensive math library for JavaScript and Node.js. It features a flexible expression parser, a large set of built-in functions, and supports different data types such as numbers, big numbers, complex numbers, fractions, units, and matrices.

What are mathjs's main functionalities?

Basic Arithmetic

Perform basic arithmetic operations like addition, subtraction, multiplication, and division.

const math = require('mathjs');
const sum = math.add(2, 3); // 5
const product = math.multiply(4, 5); // 20

Matrix Operations

Perform operations on matrices such as addition, multiplication, and inversion.

const math = require('mathjs');
const matrix1 = math.matrix([[1, 2], [3, 4]]);
const matrix2 = math.matrix([[5, 6], [7, 8]]);
const result = math.add(matrix1, matrix2); // [[6, 8], [10, 12]]

Complex Numbers

Handle complex numbers and perform arithmetic operations on them.

const math = require('mathjs');
const complex1 = math.complex(2, 3);
const complex2 = math.complex(1, 4);
const sum = math.add(complex1, complex2); // 3 + 7i

Unit Conversions

Convert between different units of measurement.

const math = require('mathjs');
const distance = math.unit(5, 'km');
const convertedDistance = distance.to('mile'); // 3.10685596 mile

Expression Parsing

Parse and evaluate mathematical expressions from strings.

const math = require('mathjs');
const expr = '2 * (3 + 4)';
const result = math.evaluate(expr); // 14

Other packages similar to mathjs

numeric

numeric is a library for numerical computations in JavaScript. It provides functions for matrix operations, solving linear systems, and performing numerical integration. Compared to mathjs, numeric is more focused on numerical methods and less on symbolic computation and unit conversions.

algebrite

algebrite is a JavaScript library for symbolic mathematics. It can perform algebraic operations, calculus, and other symbolic computations. While mathjs also supports some symbolic computation, algebrite is more specialized in this area.

simple-statistics

simple-statistics is a JavaScript library for statistical calculations. It provides functions for descriptive statistics, probability distributions, and regression analysis. Unlike mathjs, which covers a broad range of mathematical functions, simple-statistics is specialized in statistical methods.

README

http://mathjs.org

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser and offers an integrated solution to work with real and complex numbers, units, and matrices. Powerful and easy to use.

Features

• Supports numbers, complex numbers, units, strings, arrays, and matrices.
• Is compatible with JavaScript's built-in Math library.
• Contains a flexible expression parser.
• Supports chained operations.
• Comes with a large set of built-in functions and constants.
• Has no dependencies. Runs on any JavaScript engine.
• Can be used as a command line application as well.
• Is easily extensible.

Usage

Math.js can be installed using npm or bower, or by downloading the library. The library can be used in both node.js and in the browser. See the Getting Started for a more detailed tutorial. To install math.js using npm:

npm install mathjs

Math.js can be used similar to JavaScript's built-in Math library. Besides that, math.js can evaluate expressions and supports [chained operations](expressions.

// load math.js
var math = require('mathjs');

// functions and constants
math.round(math.e, 3);            // 2.718
math.atan2(3, -3) / math.pi;      // 0.75
math.log(1000, 10);               // 3
math.sqrt(-4);                    // 2i
math.pow([[-1, 2], [3, 1]], 2);   // [[7, 0], [0, 7]]

// expressions
math.eval('12 / (2.3 + 0.7)');    // 4
math.eval('5.08 cm in inch');     // 2 inch
math.eval('sin(45 deg) ^ 2');     // 0.5
math.eval('9 / 3 + 2i');          // 3 + 2i
math.eval('det([-1, 2; 3, 1])');  // -7

// chained operations
math.select(3)
    .add(4)
    .multiply(2)
    .done(); // 14

Documentation

• Getting Started
• Examples
• Documentation
• History

Build

First clone the project from github:

git clone git://github.com/josdejong/mathjs.git

The project uses jake as build tool. To be able to run jake from the command line, jake must be installed globally:

sudo npm install -g jake

Then, the project can be build by executing jake in the root of the project:

cd mathjs
jake

This will build the library math.js and math.min.js from the source files and execute tests.

Test

To execute tests for the library, run:

npm test

License

Copyright (C) 2013 Jos de Jong [e-mail]

Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at

http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License.

Changelog

2013-10-08, version 0.14.0

• Introduced an option math.options.matrix.default which can have values matrix (default) or array. This option is used by the functions eye, ones, range, and zeros, to determine the type of matrix output.
• Getting a subset of a matrix will automatically squeeze the resulting subset, setting a subset of a matrix will automatically unsqueeze the given subset.
• Removed concatenation of nested arrays in the expression parser. You can now input nested arrays like in JavaScript. Matrices can be concatenated using the function concat.
• The matrix syntax [...] in the expression parser now creates 1 dimensional matrices by default. math.eval('[1,2,3,4]') returns a matrix with size [4], math.eval('[1,2;3,4]') returns a matrix with size [2,2].
• Documentation is restructured and extended.
• Fixed non working operator mod (modulus operator).