This publication contains a mathematical approach for a reinterpretation of the "Maxwellequations" under the assumption of a magnetic field density. The basis for this is Faraday'sunipolar induction, which has proven itself in practice, in combination with the calculationrules of vector analysis. The theoretical approach here is the assumption, according to PaulDirac, that there is a magnetic field density.In this publication, the "Maxwell equations" are recalculated in their entirety. It is shown thatboth the temporal change in the magnetic field and the temporal change in the electric fieldcan each be derived from a second-order tensor (matrix), which can be interpreted as a spatialfield distortion tensor. Likewise, both the magnetic field density and the electric field densityare derived from the unipolar induction, according to Faraday. The magnetic field density results from the fact that the div u20d7B is equal to the (Sp)grad Bu20d7 .In addition to the two field distortion tensors grad u20d7B and grad Du20d7 , the velocity gradientgrad u20d7v , which can also be derived from Faraday's unipolar induction, plays an importantrole in the interpretation of spatially distorted fields.