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  • License MIT

Handles calculus of multiple variables in multidimensional space.

Package Exports

  • multivariate_calculus

This package does not declare an exports field, so the exports above have been automatically detected and optimized by JSPM instead. If any package subpath is missing, it is recommended to post an issue to the original package (multivariate_calculus) to support the "exports" field. If that is not possible, create a JSPM override to customize the exports field for this package.

Readme

multivariate_calculus

Handles calculus of several variables in multidimensional space. It works with both TypeScript and JavaScript projects seamlessly.

Installation

To install globally on your computer:

npm install multivariate_calculus --global

If you instead want to use this package to build something of your own:

npm install multivariate_calculus --save

Usage

Once installed properly, you can say in TypeScript:

import { Matrix } from "multivariate_calculus"
const A = new Matrix(2, 3);   // [[0, 0, 0], [0, 0, 0]]

or in JavaScript:

const mcalc = require("multivariate_calculus");
const A = new mcalc.Matrix(2, 3);   // [[0, 0, 0], [0, 0, 0]]

This library allows you to work with variables too.

import { Scalar } from "multivariate_calculus"
const x = new Scalar.Variable();
const two = new Scalar.Constant(2);
const three = new Scalar.Constant(3);
const expr = x.add(two);
const value = expr.at(new Map[
    [x, three]
]);
console.log(value);

Upon execution value should be a Scalar.Constant object with a constant value of 4. One may choose to work with more than one variable too. There is support for scalar algebra for any number of variables. Almost all common algebraic scalar operations have been implemented. Submit an issue if something has been missed and should be implemented right away.

This is still a work in progress. A documentation page and a browser version of this library is coming soon. Work is being done on building the project to make it a useful tool for Physics and Mathematics.

Features implemented:

  • Scalar operations
  • Matrix operations
  • Vector operations
  • Tensor operations
  • A system of variables and constants for Scalar
  • A system of variables and constants for Matrix
  • A system of variables and constants for Vector
  • A system of variables and constants for Tensor
  • Algebra of Scalar variables
  • Algebra of Matrix variables
  • Algebra of Vector variables
  • Algebra of Tensor variables
  • Calculating limits of arbitrary expressions of multiple variables
  • Evaluating partial derivatives
  • Evaluating integral with respect to single variable
  • Evaluating multiple integrals: line, surface, volume