Numbers.js - An Advanced Mathematics Toolkit For JavaScript And Node.js

Numbers.js is an advanced mathematics toolkit for JavaScript and Node.js developed by Steve Kaliski.  Numbers.js provides a comprehensive set of mathematical tools that currently are not offered in JavaScript. These tools include:

• Basic calculations
• Calculus
• Matrix Operations
• Prime Numbers
• Statistics
• More...

Requirements: None
Demo: https://github.com/sjkaliski/numbers.js
License: MIT License

Write Maths, See Maths - A jQuery Plugin For Editable Areas Which Gives An Instant MathJax Preview Of Typed TeX

Editors's Note: You might also be interested in MathJax - An Open Source Cross-Browser JavaScript Display Engine For Mathematics.

Write Maths, See Maths is a jQuery plugin for editable areas which gives an instant MathJax preview of the TeX you're writing just above the cursor.  To use it, just call $(selector).writemaths() when the page loads.

You can optionally pass in an object with some options:

• cleanMaths: a function which does something to the LaTeX before displaying it.
• callback: a function which is called when the preview is displayed.
• iFrame: set this to true if you're applying writemaths to something like TinyMCE, which lives inside an iframe.

Requirements: jQuery
Demo: http://christianp.github.com/writemaths/
License: MIT License

Ratio.js - A JavaScript Library Which Provides a Fraction/Rational/Ratio Object For JavaScript

Ratio.js is a JavaScript library which provides a fraction/rational/ratio object for JavaScript.  By keeping values in a rational form, you can maintain precision and can avoid common floating point operation errors in JavaScript.

Browser Support.

Chrome 19, Firefox 12, IE 7+, and Opera 11+.

Requirements: None
Demo: https://github.com/LarryBattle/Ratio.js/
License: MIT License or GPLv3

MathJax - An Open Source Cross-Browser JavaScript Display Engine For Mathematics

MathJax is an open-source JavaScript display engine for LaTeX, MathML, and AsciiMath notation that works in all modern browsers. It was designed with the goal of consolidating the recent advances in web technologies into a single, definitive, math-on-the-web platform supporting the major browsers and operating systems, including those on mobile devices. It requires no setup on the part of the user (no plugins to download or software to install), so the page author can write web documents that include mathematics and be confident that users will be able to view it naturally and easily. One simply includes MathJax and some mathematics in a web page, and MathJax does the rest.

MathJax uses web-based fonts (in those browsers that support it) to produce high-quality typesetting that scales and prints at full resolution (unlike mathematics included as images). MathJax can be used with screen readers, providing accessibility for the visually impaired. With MathJax, mathematics is text-based rather than image-based, and so it is available for search engines, meaning that your equations can be searchable, just like the text of your pages. MathJax allows page authors to write formulas using TeX and LaTeX notation, MathML, a World Wide Web Consortium standard for representing mathematics in XML format, or AsciiMath notation. MathJax will even convert TeX notation into MathML, so that it can be rendered more quickly by those browsers that support MathML natively, or so that you can copy and paste it into other programs.

MathJax is modular, so it loads components only when necessary, and can be extended to include new capabilities as needed. MathJax is highly configurable, allowing authors to customize it for the special requirements of their web sites. Finally, MathJax has a rich application programming interface (API) that can be used to make the mathematics on your web pages interactive and dynamic.

Features And Benefits

• High-quality typography - MathJaxTM uses modern CSS and web fonts, instead of equation images or Flash, so equations scale with surrounding text at all zoom levels.
• Works in all modern browsers - This allows the math in your content to be seen clearly by virtually all readers, even those using smart phones.
• Simple integration - Using MathJax with blogs, wikis, web pages and other web apps is easy. Learn more about installing MathJax with popular platforms like WordPress, MediaWiki, Drupal, and more.
• Copy and paste math - Let readers copy equations from your web pages into Word and LaTeX documents, science blogs, research wikis, calculation software like Maple, Mathematica and more.
• A rich API - Allows developers to create interactive course materials, advanced authoring tools, and math-enabled web apps. Learn how more about programming with MathJax.
• Accessible math - MathJax is compatible with screenreaders used by people with vision disabilities, and the Zoom feature allows all readers to see small details like scripts, primes and hats.

There is also a bookmarklet available which can be used to apply MathJax on any page with a simple click.

Requirements: None
Demo: http://www.mathjax.org/demos/
License: Apache License v2.0