Abstract
In order to talk about the physics of electric and magnetic fields it is necessary to know some vector calculus. Here, the calculus of vectors is introduced, including differentiation and integration. The gradient, the curl and the div operations are discussed and visual examples given. Transformation of these operations to other orthogonal coordinate systems is introduced and the use of the gradient, curl and div operators in these coordinate systems is discussed. Green's theorem, Gauss's theorem and Stokes’ theorem are developed and visualisations given to assist in understanding their utility. Vector differentiation is used to discuss the rotation of vectors in a rotating reference frame.
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