GNU Octave - Language for Numerical Computations

•    C

GNU Octave is a high-level interpreted language, primarily intended for numerical computations. It provides capabilities for the numerical solution of linear and nonlinear problems, and for performing other numerical experiments. It also provides extensive graphics capabilities for data visualization and manipulation. Octave Forge is a place for development of its packages; from bioinformatics and fuzzy logic to mechanics and instrument control.

Maxima - A Computer Algebra System

•    Lisp

Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, sets, lists, vectors, matrices and tensors. Maxima yields high precision numerical results by using exact fractions, arbitrary-precision integers and variable-precision floating-point numbers. Maxima can plot functions and data in two and three dimensions.

MathJax - Beautiful math in all browsers

•    Javascript

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. 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. Simply include MathJax and some mathematics in a web page, and MathJax does the rest.

KaTeX - Fast math typesetting for the web

•    Javascript

KaTeX is a fast, easy-to-use JavaScript library for TeX math rendering on the web. KaTeX renders its math synchronously and doesn't need to reflow the page. It's layout is based on Donald Knuth’s TeX, the gold standard for math typesetting. It has no dependencies and can easily be bundled with your website resources. It produces the same output regardless of browser or environment, so you can pre-render expressions using Node.js and send them as plain HTML.

Freemat - A Matlab alternative

•    C++

FreeMat is a free environment for rapid engineering and scientific prototyping and data processing. It is similar to commercial systems such as MATLAB and IDL. It has built in arithmetic for manipulation of all supported data types, N-dimensional array manipulation, 2D and 3D plotting and image display, Visualization, Image manipulation, and as well as parallel programming.

owl - Owl is an OCaml library for scientific and engineering computing.

•    OCaml

Owl is an emerging numerical library for scientific computing and engineering. The library is developed in the OCaml language and inherits all its powerful features such as static type checking, powerful module system, and superior runtime efficiency. Owl allows you to write succinct type-safe numerical applications in functional language without sacrificing performance, significantly reduces the cost from prototype to production use. Owl's documentation contains a lot of learning materials to help you start. The full documentation consists of two parts: Tutorial Book and API Reference. Both are perfectly synchronised with the code in the repository by the automatic building system. You can access both parts with the following link.

Stdlib - Standard library for JavaScript and Node.js.

•    Javascript

Stdlib is a standard library for JavaScript and Node.js, with an emphasis on numeric computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

Qalculate! - the ultimate desktop calculator

•    C++

Qalculate! is a multi-purpose cross-platform desktop calculator. It is simple to use but provides power and versatility normally reserved for complicated math packages, as well as useful tools for everyday needs (such as currency conversion and percent calculation). Features include a large library of customizable functions, unit calculations and conversion, physical constants, symbolic calculations (including integrals and equations), arbitrary precision, uncertainty propagation, interval arithmetic, plotting, and a user-friendly interface (GTK+ and CLI).

jsMath - A Method of Including Mathematics in Web Pages

•    Javascript

The jsMath package provides a method of including mathematics in HTML pages that works across multiple browsers under Windows, Macintosh OS X, Linux and other flavors of unix. It overcomes a number of the shortcomings of the traditional method of using images to represent mathematics: jsMath uses native fonts, so they resize when you change the size of the text in your browser, they print at the full resolution of your printer, and you don't have to wait for dozens of images to be downloaded in order to see the mathematics in a web page.

Mathos Project

•    DotNet

Mathos is a collection of tools for any kinds of mathematical calculations. It allows you to work with shapes, finance, unit conversions, and more!

Meta Numerics

The Meta.Numerics math and statistics library supports scientific computing on the .NET platform. It offers an object-oriented API for matrix algebra, advanced functions of real and complex numbers, signal processing, and data analysis.

dnAnalytics

•    CSharp

A numerical library for the .NET framework.

markdown-preview-plus - Markdown Preview + Community Features

•    TypeScript

Markdown Preview Plus (MPP) is a fork of Markdown Preview that provides a real-time preview of markdown documents. Should you have any problems while installing or using MPP please open up a new issue.

la4j - Linear Algebra for Java

•    Java

la4j (Linear Algebra for Java) is an open source and 100% Java library that provides Linear Algebra primitives (matrices and vectors) and algorithms. The la4j library was initially designed to be a lightweight and simple tool for passionate Java developers. It has been started as student project and turned into one of the most popular Java packages for matrices and vectors.

wxMaxima - A gui for the computer algebra system Maxima built with wxWidgets

•    C++

wxMaxima is a document based interface for the computer algebra system Maxima. wxMaxima provides menus and dialogs for many common maxima commands, autocompletion, inline plots and simple animations.

slayer - JavaScript time series spike detection for Node

•    Javascript

JavaScript time series spike detection for Node.js; like the Octave findpeaks function.Time series are often displayed as bar, line or area charts. A peak or spike in a time series is a the highest value before the trend start to decrease.

node-gcd - compute the greatest common divisor using euclid's algorithm

•    Javascript

Compute the greatest common divisor using Euclid's algorithm.Return the greatest common divisor of the integers a and b using Euclid's algorithm.

project-euler - My solutions to Project Euler problems.

•    Perl

These are Shlomi Fish’s solutions to the Project Euler’s problems which are a set of mathematical problems that may be solved by writing computer programs. Note that some of these solutions were copied from elsewhere on the Internet. The licences of the contents of this repository varies, but most of the original content is available under the MIT/Expat License.

BigEval.js - Fully featured mathematical expression solving library

•    Javascript

An alternative to JavaScript's eval() for solving mathematical expressions. It can be extended to use the Big Number libraries available to provide results with maximum precision. After including BigEval.js, the first step is to create an instance of BigEval. Then we can use the exec() method to solve an expression. See project page for a working example.

math-compiler - A simple compiler for mathematical operations

•    Go

The intention of this project is mostly to say "I wrote a compiler", because I've already experimented with a language, and implemented a BASIC. The things learned from those projects were pretty useful, even if the actual results were not so obviously useful in themselves.