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Vectors, matrices, tensors
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README.md

algebra

Vectors, Matrices and more

Installation

npm install algebra

Quick start

This is a 60 seconds tutorial to get your hands dirty with algebra.

Complex numbers

var algebra = require('algebra');

var Complex = algebra.Complex.Element;

// Create two complex numbers
// z1 = 1 + 2i
// z2 = 3 + 4i
var z1 = new Complex(1, 2);
var z2 = new Complex(3, 4);

// Multiply z1 by z2.
z1.mul(z2); // (1 + 2i) * (3 + 4i) = -5 + 10i

console.log(z1.xy()); // [-5, 10]

Vectors

var algebra = require('algebra');

// Rn is a class representing a real vector space of dimension = n.
var Rn = algebra.Real.VectorSpace;

// Create a real vector space with dimension = 2, a.k.a. the cartesian plane.
var R2 = new Rn(2);

// Create two vectors
// v1 = (1, 1)
// v2 = (2, 4)
var v1 = new R2.Vector(1, 1);
var v2 = new R2.Vector(2, 4);

// Add v2 to v1.
v1.add(v2); // (1, 1) + (2, 4) = (3, 5)

console.log(v1.getCoordinates()); // [3, 5]

Matrices

var algebra = require('algebra');

var MnR = algebra.Real.MatrixRing;
var M2R = new MnR(2);

var m1 = new M2R.Matrix(1, 2, 3, 4);

// coming soon :P

Description

I'm implementing matrices and vectors on few algebra fields (Reals, Complexes etc.) following Micheal Artin's "Algebra", which was my book at Universita' Degli Studi di Genova.

My goal is to provide users with the feature of creating their own algebra field and building vector spaces and matrices on it.

Suppose for example the set of strings with the concatenation operator, it could be extended to a group and maybe to a field and build "matrices of strings" or probably in the future ... "string of mastrices".

Documentation

See the Wiki.

Development

Coding style

See Felix's Node.js Style Guide.

Branches

The git repository has the following remote branches:

  • real
  • complex
  • quaternion
  • octonions TODO

which are the four normed division algebras over reals.

Testing

Install mocha globally

npm install mocha -g

Then run tests

npm test

( and say hello to the nyan cat :)

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