6: Exterior algebra and differential calculus", Functions of Several Variables, Addison-Wesley, pp. 205–238. This textbook in multivariate calculus introduces...

in its current form by Élie Cartan in 1899. The resulting calculus, known as exterior calculus, allows for a natural, metric-independent generalization...

This article summarizes several identities in exterior calculus. The following summarizes short definitions and notations that are used in this article...

In mathematics, the discrete exterior calculus (DEC) is the extension of the exterior calculus to discrete spaces including graphs, finite element meshes...

main proponent of the exterior calculus Elie Cartan, the influential geometer Shiing-Shen Chern summarizes the role of tensor calculus: In our subject of...

This textbook in multivariate calculus introduces the exterior algebra of differential forms adroitly into the calculus sequence for colleges. Shafarevich...

product, vector calculus does not generalize to higher dimensions, but the alternative approach of geometric algebra, which uses the exterior product, does...

In vector calculus and differential geometry the generalized Stokes theorem (sometimes with apostrophe as Stokes' theorem or Stokes's theorem), also called...

Finite element exterior calculus (FEEC) is a mathematical framework that formulates finite element methods using chain complexes. Its main application...

develop a calculus for differentiable manifolds. This leads to such mathematical machinery as the exterior calculus. The study of calculus on differentiable...