Stokes's theorem in R

TL;DR

The paper introduces the stokes R package that facilitates computations involving tensors, forms, and exterior calculus, demonstrating Stokes's theorem through practical implementation.

Contribution

It presents a new R package that simplifies working with exterior calculus concepts and demonstrates Stokes's theorem computationally.

Findings

The package successfully implements exterior calculus operations.

Stokes's theorem is demonstrated using the package.

Provides tools for tensor and form computations in R.

Abstract

In this short article I introduce the stokes package which provides functionality for working with tensors, alternating forms, wedge products, and related concepts from the exterior calculus. Notation and spirit follow Spivak. Stokes's generalized integral theorem, viz $\int_{\partial X}\phi=\int_Xd\phi$, is demonstrated here using the package; it is available on CRAN athttps://CRAN.R-project.org/package=stokes.