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Differential Geometry of Maxwell's Equations

2015-05-16
  • differential-geometry
  • expository
  • physics
  • electromagnetism

My goal is to derive Maxwell's equations of electromagnetism with almost no effort at all. As often in mathematics, things look simpler when there is less structure. Here, as in mechanics, we do not assume any prior metric, so the geometry of the space at hand is very simple.

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