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Differential Forms in Electromagnetics

Differential Forms in Electromagnetics

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"Differential Forms in Electromagnetics" by Ismo V. Lindell is a physics book focused on Devices & Sensors. Best for students, educators, and scientifically curious readers.

An introduction to multivectors, dyadics, and differential forms for electrical engineers While physicists have long applied differential forms to various areas of theoretical analysis, dyadic algebra is also the most natural language for expressing electromagnetic phenomena mathematically. George Deschamps pioneered the application of differential forms to electrical engineering but never completed his work. Now, Ismo V. Lindell, an internationally recognized authority on differential forms, provides a clear and practical introduction to replacing classical Gibbsian vector calculus with the mathematical formalism of differential forms. In Differential Forms in Electromagnetics, Lindell simplifies the notation and adds memory aids in order to ease the reader's leap from Gibbsian analysis to differential forms, and provides the algebraic tools corresponding to the dyadics of Gibbsian analysis that have long been missing from the formalism. He introduces the reader to basic EM theory and wave equations for the electromagnetic two-forms, discusses the derivation of useful identities, and explains novel ways of treating problems in general linear (bi-anisotropic) media. Clearly written and devoid of unnecessary mathematical jargon, Differential Forms in Electromagnetics helps engineers master an area of intense interest for anyone involved in research on metamaterials.

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Best For: Electrical engineers and students interested in the mathematical foundations of electromagnetics
Focus: Introduction to multivectors, dyadics, and differential forms applied to electromagnetics
Covers: Mathematical tools such as dyadic algebra and differential forms relevant to electromagnetic phenomena
Why It Matters: Provides a mathematical framework that complements traditional electromagnetic theory, aiding in deeper understanding and analysis

"Differential Forms in Electromagnetics" by Ismo V. Lindell is a physics book focused on Devices & Sensors. Best for students, educators, and scientifically curious readers.

Topic: Devices & Sensors

Author: Ismo V. Lindell

Who this is for:

  • Physics students
  • Science-minded readers
  • Readers building technical understanding

Why this book matters: It provides structured coverage of physics concepts in a way that supports deeper understanding and continued study.

An introduction to multivectors, dyadics, and differential forms for electrical engineers While physicists have long applied differential forms to various areas of theoretical analysis, dyadic algebra is also the most natural language for expressing electromagnetic phenomena mathematically. George Deschamps pioneered the application of differential forms to electrical engineering but never completed his work. Now, Ismo V. Lindell, an internationally recognized authority on differential forms, provides a clear and practical introduction to replacing classical Gibbsian vector calculus with the mathematical formalism of differential forms. In Differential Forms in Electromagnetics, Lindell simplifies the notation and adds memory aids in order to ease the reader's leap from Gibbsian analysis to differential forms, and provides the algebraic tools corresponding to the dyadics of Gibbsian analysis that have long been missing from the formalism. He introduces the reader to basic EM theory and wave equations for the electromagnetic two-forms, discusses the derivation of useful identities, and explains novel ways of treating problems in general linear (bi-anisotropic) media. Clearly written and devoid of unnecessary mathematical jargon, Differential Forms in Electromagnetics helps engineers master an area of intense interest for anyone involved in research on metamaterials.

AuthorIsmo V. Lindell
PublisherJohn Wiley & Sons
Published2004-04-27
ISBN-139780471648017
BindingHardcover
Pages276
LanguageEnglish
SubjectsScience
TopicDevices & Sensors
SeriesIEEE Press Electromagnetic Wave Theory

Format: Hardcover

Length: 276 pages

Language: English

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