Geometry of Electromagnetic Systems
Series: Monographs in Electrical and Electronic Engineering; 39;
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72 240 Ft
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Product details:
- Publisher Clarendon Press
- Date of Publication 18 January 1996
- Number of Volumes laminated boards
- ISBN 9780198591870
- Binding Hardback
- No. of pages250 pages
- Size 242x162x19 mm
- Weight 516 g
- Language English
- Illustrations frontispiece, line figures, tables 0
Categories
Short description:
From highly respected authors in this field, this book is the first to examine the close relationship between the physical phenomena of electromagnetism and the geometry of space and time. It draws on geometrical insights of the author's mathematical research to produce an outstanding work, which will be of interest to all graduate students and researchers in electromagnetic field theory.
MoreLong description:
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.
... 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. International Compumag Society Newsletter, July 1996
Table of Contents:
Preface
The historical development of electromagnetism
A geometrical approach to Maxwell's equations
Variational methods
Coordinates and coordinate transformations
Symmetries of space and time
Electromagnetic radiation
The relationship between electricity and magnetism in electrodynamics
Electrodynamics and conductivity
The inner geometry of electrodynamics
References
Index
