The Exterior Calculus
Basis vectors in three-dimensional space
Alternating multilinear forms
Coerce vectors to 1-forms
Extract and manipulate coefficients
Various low-level helper functions
Contractions of -forms
Dimension of the underlying vector space
Hodge star operator
Inner product operator
Is a form zero to within numerical precision?
Keep or drop variables
k-forms
Inner product of two kforms
k-tensors
Arithmetic Ops Group Methods for kform
and ktensor
objects
Print methods for -tensors and -forms
Random kforms and ktensors
Scalars and losing attributes
tools:::Rd_package_title("stokes")
Summaries of tensors and alternating forms
Symbolic form
Tensor products of -tensors
Linear transforms of -forms
The Vector cross product
The volume element
Wedge products
Zap small values in -forms and -tensors
Zero tensors and zero forms
Provides functionality for working with tensors, alternating forms, wedge products, Stokes's theorem, and related concepts from the exterior calculus. Uses 'disordR' discipline (Hankin, 2022, <doi:10.48550/ARXIV.2210.03856>). The canonical reference would be M. Spivak (1965, ISBN:0-8053-9021-9) "Calculus on Manifolds". To cite the package in publications please use Hankin (2022) <doi:10.48550/ARXIV.2210.17008>.