Colombaro, IvanoFont Segura, JosepMartinez, Alfonso2023-01-242023-01-242019Colombaro I, Font-Segura J, Martinez A. An introduction to space-time exterior calculus. Mathematics. 2019 Jun;7(6):564. DOI: 10.3390/math70605642227-7390http://hdl.handle.net/10230/55402The basic concepts of exterior calculus for space–time multivectors are presented: Interior and exterior products, interior and exterior derivatives, oriented integrals over hypersurfaces, circulation and flux of multivector fields. Two Stokes theorems relating the exterior and interior derivatives with circulation and flux, respectively, are derived. As an application, it is shown how the exterior-calculus space–time formulation of the electromagnetic Maxwell equations and Lorentz force recovers the standard vector-calculus formulations, in both differential and integral forms.application/pdfeng© 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).info:eu-repo/semantics/articlehttp://dx.doi.org/10.3390/math7060564Exterior calculusExterior algebraElectromagnetismMaxwell equationsDifferential formsTensor calculusinfo:eu-repo/semantics/openAccess