An introduction to multivectors, dyadics, and differential formsfor electrical engineers
While physicists have long applied differential forms to variousareas of theoretical analysis, dyadic algebra is also the mostnatural language for expressing electromagnetic phenomenamathematically. George Deschamps pioneered the application ofdifferential forms to electrical engineering but never completedhis work. Now, Ismo V. Lindell, an internationally recognizedauthority on differential forms, provides a clear and practicalintroduction to replacing classical Gibbsian vector calculus withthe mathematical formalism of differential forms.
In Differential Forms in Electromagnetics, Lindellsimplifies the notation and adds memory aids in order to ease thereader's leap from Gibbsian analysis to differential forms, andprovides the algebraic tools corresponding to the dyadics ofGibbsian analysis that have long been missing from the formalism.He introduces the reader to basic EM theory and wave equations forthe electromagnetic two-forms, discusses the derivation of usefulidentities, and explains novel ways of treating problems in generallinear (bi-anisotropic) media.
Clearly written and devoid of unnecessary mathematical jargon,Differential Forms in Electromagnetics helps engineersmaster an area of intense interest for anyone involved in researchon metamaterials.
Ismo V. Lindell
Electrical & Electronics Engineering Electrical Engineering Special Topics Electricity Electromagnetic Theory Elektrizitätslehre Elektromagnetismus Elektrotechnik u. Elektronik Physics Physik Spezialthemen Elektrotechnik
"...a modern, clear and well-organised account...in an easily mastered notation..." (Ultramicroscopy, Vol 104, 2005)
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