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Geometry of Electromagnetic Systems

Online ISBN:
9781383030723
Print ISBN:
9780198591870
Publisher:
Oxford University Press
Book

Geometry of Electromagnetic Systems

P Hammond
P Hammond
Department of Applied Physics University of Santiago de Compostela
Department of Electrical Engineering University of Southampton
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Published online:
31 October 2023
Published in print:
18 January 1996
Online ISBN:
9781383030723
Print ISBN:
9780198591870
Publisher:
Oxford University Press

Abstract

This book is addressed to engineers, applied mathematicians, and physicists involved in the design and analysis of electromagnetic systems. Its chief purpose is to clarify the structure of electromagnetism. It begins with the Faraday-Maxwell insight that in electromagnetism one is faced with an interconnected dynamical system in which space and time are closely linked with physical phenomena. An appropriate basis is given via differential geometry to describe local relationships, via and topology to describe the system. These tools are introduced in the context of Maxwell's equations in the familiar vector notation. Equations are greatly simplified by the geometrical approach, and the geometrical idea of symmetry unifies the various conservation laws. This book clarifies the relationship between fields, potentials, and sources. Links between macroscopic and quantum phenomena are explored from a geometric angle and there is a simple discussion of superconductivity.

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