Commons Math: The Apache Commons Mathematics Library

•    Java

Commons Math is a library of lightweight, self-contained mathematics and statistics components addressing the most common problems not available in the Java programming language. it has support for Linear Algebra, Probability Distributions, Numerical Algebra, Statistics, Transform methods, Least Square etc.

mathjs - An extensive math library for JavaScript and Node.js

•    Javascript

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser with support for symbolic computation, comes with a large set of built-in functions and constants, and offers an integrated solution to work with different data types like numbers, big numbers, complex numbers, fractions, units, and matrices.

algebra.js - Build, display, and solve algebraic equations.

•    Javascript

Read the full documentation at the project site.Download algebra.min.js.

numjs - Like NumPy, in JavaScript

•    Javascript

Besides its obvious scientific uses, NumJs can also be used as an efficient multi-dimensional container of generic data. NumJs is licensed under the MIT license, enabling reuse with almost no restrictions.

TheoremJS - A Math library for computation in JavaScript 📕

•    Javascript

TheoremJS is a mathematical framework that is packed up with tons of useful mathematical functions. It is composed of functions in most mathematical fields such as algebra, number theory, statistics, etc... It was designed to fit your need, whatever you are trying to do. We use SemVer for versioning. For the versions available, see the tags on this repository.

nalgebra - Linear algebra library for Rust.

•    Rust

Linear algebra library for the Rust programming language.

ndarray - 📈 Multidimensional arrays for JavaScript

•    Javascript

Modular multidimensional arrays for JavaScript.ndarrays can be transposed, flipped, sheared and sliced in constant time per operation. They are useful for representing images, audio, volume graphics, matrices, strings and much more. They work both in node.js and with browserify.

nalgebra - Linear algebra library for Rust.

•    Rust

Linear algebra library for the Rust programming language.

Algebrite - Computer Algebra System in Javascript (Coffeescript)

•    CoffeeScript

Algebrite is a Javascript library for symbolic mathematics (technically, CoffeeScript) designed to be comprehensible and easily extensible. All the built-in methods in Algebrite are exposed through a javascript interface. Strings are automatically parsed as expressions, numbers are converted into the appropriate representation, and the internal cons objects are returned.

matryoshka - Generalized recursion schemes and traversals for Scala.

•    Scala

Generalized folds, unfolds, and traversals for fixed point data structures in Scala. Optionally, you can also depend on matryoshka-scalacheck to get Arbitrary/Cogen/Shrink instances for a bunch of pattern functors and fixed points.

vectorious - High performance linear algebra.

•    Javascript

A high performance linear algebra library, written in JavaScript and optimized with C++ bindings to BLAS. The documentation is located in the wiki section of this repository.

static-land - Specification for common algebraic structures in JavaScript based on Fantasy Land

•    Javascript

This is a specification for common algebraic structures in JavaScript based on Fantasy Land.Fantasy Land uses methods to define interfaces that a type must implement in order to support a particular Algebra. For example values of a type that implements the Monoid algebra must have fantasy-land/empty and fantasy-land/concat methods on them.

Ascend - ASCEND modelling environment

•    C

ASCEND is an interactive environment for modeling, debugging, and solving large systems of nonlinear algebraic or differential equations. Oriented towards chemical engineering applications, it includes the largest open-source thermodynamic properties database. Its interactive design allows users to inspect and solve very difficult nonlinear systems. It includes plotting abilities and is scriptable.

Scirust - Scientific Computing Library in Rust

•    Rust

SciRust is a Scientific computing library written in Rust programming language. The objective is to design a generic library which can be used as a backbone for scientific computing. Its current areas of focus includes Matrices, Linear algebra, Statistics, and Signal processing.

witchcraft - Monads and other dark magic for Elixir

•    Elixir

Witchcraft is a library providing common algebraic and categorical abstractions to Elixir. Monoids, functors, monads, arrows, categories, and other dark magic right at your fingertips. You shouldn't have to learn another language just to understand powerful abstractions! By enabling people to use a language that they already know, and is already in the same ballpark in terms of values (emphasis on immutability, &c), we can teach and learn faster.

Science.NET

•    CSharp

A scientific library written in managed code. It supports advanced mathematics (algebra system, sequences, statistics, combinatorics...), data structures, sort algorithms...

Symbolic Algebra

Algebraic calculation system implemented purely in C#.

Dambach Linear Algebra Framework

The Dambach Linear Algebra Framework is a general purpose Linear Algebra framework for .Net. The main goal is to enable ordinary programmers (who do not have a math degree) to make use of linear algebra methods in solving everyday problems.

Prime Factorization

Factoring trinomials using the ac method can be made easier through the use of Prime Factorization. Prime Factorization is a program that can assist you in the factoring of numbers in Algebra, namely trinomials using the AC Method. It can also find all the factors of any number.

derive4j - Java 8 annotation processor and framework for deriving algebraic data types constructors, pattern-matching, morphisms, (near future: optics and typeclasses)

•    Java

tl;dr Show me how to write, say, the Either sum type with Derive4J!.This project has a special dedication to Tony Morris' blog post Debut with a catamorphism. I'm also very thankful to @sviperll and his adt4j project which was the initial inspiration for Derive4J.