Understanding Geometric Algebra for Electromagnetic Theory

Front Cover
John Wiley & Sons, Oct 11, 2011 - Science - 300 pages
0 Reviews
This book aims to disseminate geometric algebra as a straightforward mathematical tool set for working with and understanding classical electromagnetic theory. It's target readership is anyone who has some knowledge of electromagnetic theory, predominantly ordinary scientists and engineers who use it in the course of their work, or postgraduate students and senior undergraduates who are seeking to broaden their knowledge and increase their understanding of the subject. It is assumed that the reader is not a mathematical specialist and is neither familiar with geometric algebra or its application to electromagnetic theory. The modern approach, geometric algebra, is the mathematical tool set we should all have started out with and once the reader has a grasp of the subject, he or she cannot fail to realize that traditional vector analysis is really awkward and even misleading by comparison.

Professors can request a solutions manual by email: pressbooks@ieee.org

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Applying the Abstraction
27
Generalization
39
3+1D Electromagnetics
55
Review of 3+1D
91
Introducing Spacetime
97
Relating Spacetime to 3+1D
129
Change of Basis Vectors
147
Further Spacetime Concepts
169
Application of the Spacetime Geometric Algebra
203
The Electromagnetic Field of a Point Charge Undergoing
243
Conclusion
259
Appendices
265
References
287
Index
293
Copyright

Other editions - View all

Common terms and phrases

About the author (2011)

JOHN W. ARTHUR earned his PhD from Edinburgh University in 1974 for research into light scattering in crystals. He has been involved in academic research, the microelectronics industry, and corporate R&D. Dr. Arthur has published various research papers in acclaimed journals, including IEEE Antennas and Propagation Magazine. His 2008 paper entitled "The Fundamentals of Electromagnetic Theory Revisited" received the 2010 IEEE Donald G. Fink Prize for Best Tutorial Paper. A senior member of the IEEE, Dr. Arthur was elected a fellow of the Royal Society of Edinburgh and of the United Kingdom's Royal Academy of Engineering in 2002. He is currently an honorary fellow in the School of Engineering at the University of Edinburgh.

Bibliographic information