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Abstract

Electromagnetism is probably the first truly elegant and exciting application of differential forms in physics. Electromagnetism deals with both electrical fields and magnetic fields and Maxwell’s equations are the four equations that describe how these fields act and how they are related to each other. Maxwell’s complicated equations are rendered stunningly simple and beautiful when written in differential forms notation instead of the usual vector calculus notation.

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Fortney, J.P. (2018). An Example: Electromagnetism. In: A Visual Introduction to Differential Forms and Calculus on Manifolds. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-96992-3_12

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