Teaching electromagnetic field theory using differential forms

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Teaching Electromagnetic Field Theory Using Differential Forms - Education, IEEE Transactions on

The calculus of differential forms has significant advantages over traditional methods as a tool for teaching electromagnetic (EM) field theory: First, forms clarify the relationship between field intensity and flux density, by providing distinct mathematical and graphical representations for the two types of fields. Second, Ampere’s and Faraday’s laws obtain graphical representations that are ...

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Let F be a field of characteristic p > 0. Let Ω(F ) be the F vector space of n-differentials of F over F . Let K = F (g) be the function field of an irreducible polynomial g in m > 1 variables over F . We derive an explicit description of the kernel of the restriction map Ω(F ) → Ω(K). As an application in the case p = 2, we determine the kernel of the restriction map when passing from the Witt...

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ژورنال

عنوان ژورنال: IEEE Transactions on Education

سال: 1997

ISSN: 0018-9359

DOI: 10.1109/13.554670