Classical Electromagnetism via Relativity

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W. G. V. Rosser, "Classical Electromagnetism via Relativity"
1968 | pages: 302 | ISBN: 0408433000, 1489962581 | DJVU | 2,3 mb

Classical Electromagnetism via Relativity
One of the arts of teaching is to attack a problem from a different point of view, if the conventional approach has not been fully appreciated. This often helps the class to appreciate the conventional approach more fully. Maxwell's equations are generally introduced during a long course on electromagnetism, in which the correct interpretations and experimental bases of Maxwell's equations are sometimes obscured by the large amount of time of necessity devoted to the important applications of individual laws. The displacement 'current' is often introduced in a way that gives the wrong impression of its role in contemporary electromagnetic theory. There have been refinements of interpretation since Maxwell's time, particularly following the abandonment of the ether theories and the introduction of the theory of relativity. This is particularly true of the displacement 'current'. In this monograph, Maxwell's equations are approached from a different point of view from the conventional approach, namely using Coulomb's law and the transformations of the theory of special relativity. This approach illustrates the essential unity of Maxwell's equations, and the modern interpretation of the various terms in Maxwell's equations. It is the reverse of the historical approach, since the theory of special relativity arose out of optics and electromagnetism.
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