MAXWELL’S EQUATIONS REVISITED - MENTAL IMAGERY AND MATHEMATICAL SYMBOLS

Publikation: Beitrag in FachzeitschriftForschungsartikelEingeladenBegutachtung

Beitragende

Abstract

Using Maxwell’s mental imagery of a tube of fluid motion of an imaginary fluid, we derive his equations curl (Formula Presented), which together with the constituting relations D = ε0E, B = µ0H, form what we call today Maxwell’s equations. Main tools are the divergence, curl and gradient integration theorems and a version of Poincare’s lemma formulated in vector calculus notation. Remarks on the history of the development of electrodynamic theory, quotations and references to original and secondary literature complement the paper.

Details

OriginalspracheEnglisch
Seiten (von - bis)47-68
Seitenumfang22
FachzeitschriftArchivum Mathematicum
Ausgabenummer1
PublikationsstatusVeröffentlicht - 2023
Peer-Review-StatusJa

Externe IDs

ORCID /0000-0003-0967-6747/work/149795383

Schlagworte

ASJC Scopus Sachgebiete

Schlagwörter

  • Maxwell’s equations