Geometry of Electromagnetic Systems (Monographs in Electrical & Electronic Engineering) [Hardcover]

D. Baldomir (Author), P. Hammond (Author)

Book Description

ISBN-10: 019859187X | ISBN-13: 978-0198591870 | Publication Date: February 22, 1996

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

Editorial Reviews

Review

... 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

About the Author

D. Baldomir is at University of Santiago de Compestella. P. Hammond is at University of Southampton.

Product Details

• Hardcover: 256 pages
• Publisher: Oxford University Press, USA (February 22, 1996)
• Language: English
• ISBN-10: 019859187X
• ISBN-13: 978-0198591870
• Product Dimensions: 9 x 6 x 0.7 inches
• Shipping Weight: 1.2 pounds (View shipping rates and policies)
• Average Customer Review: 4.5 out of 5 stars  See all reviews (2 customer reviews)
• Amazon Best Sellers Rank: #5,171,335 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews

1 of 1 people found the following review helpful:

5.0 out of 5 stars very good book, July 3, 1998

By A Customer

This review is from: Geometry of Electromagnetic Systems (Monographs in Electrical & Electronic Engineering) (Hardcover)

The book shows electromagnetism from the point of view of space and time in geometrical aspects. It is quite a new description of electromagnetic field and the authors should be proud of it. Special attention of a reader should be focused on the introductory part of the book, where the fantastic picture of the history of electromagnetism and the long-lasting controversy as to the description of physical world is presented.

1 of 1 people found the following review helpful:

4.0 out of 5 stars This book could be a classic., July 27, 1999

By A Customer

This review is from: Geometry of Electromagnetic Systems (Monographs in Electrical & Electronic Engineering) (Hardcover)

This book treats the somewhat familiar subject of fundamental electromagnetism, ie Maxwell's equations but in a new way. The authors thoroughly explore the relationship between the electric and magnetic fields and the geometrical and topological aspects of the space in which they are embedded. Experts who feel that there is nothing new to be said about Maxwell's theory and its interpretation will learn new insight from this book. However the book is marred by rather too many typographical errors and also some equations are wrong (for instance the Lorentz transformation equations early on in the book). This detracts from the books usefulness to the beginner who should have a good text on electromagnetism available as well as this book. There is a also a useful historical introduction to the history of the evolution of Maxwell's theory. If the faults are fixed for the next edition, this work will be a reference for many years to come.