Geometry of Electromagnetic Systems

Hardcover | October 1, 1995

byD. Baldomir, P. Hammond

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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 withan 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 inthe 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 areexplored from a geometric angle and there is a simple discussion of superconductivity.

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From the Publisher

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 withan interconnected dynamical system in which s...

D. Baldomir is at University of Santiago de Compestella. P. Hammond is at University of Southampton.
Format:HardcoverDimensions:250 pages, 9.21 × 6.14 × 0.75 inPublished:October 1, 1995Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:019859187X

ISBN - 13:9780198591870

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Table of Contents

Preface1. The historical development of electromagnetism2. A geometrical approach to Maxwell's equations3. Variational methods4. Coordinates and coordinate transformations5. Symmetries of space and time6. Electromagnetic radiation7. The relationship between electricity and magnetism in electrodynamics8. Electrodynamics and conductivity9. The inner geometry of electrodynamicsReferencesIndex

Editorial Reviews

... it is written in a style which is accessible to those who are familiar with electromagnetism from an engineering standpoint. .... the electromagnetic analyst will find Baldomir and Hammond's book useful and helpful in relation to some of the literature now appearing. It also can be enjoyed in its own right for the challenging intellectual exercise with respect to electromagnetism which it represents. InternationalCompumag Society Newsletter, July 1996