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Understanding geometric algebra for electromagnetic theory
1 online resource (xvi, 301 pages) : illustrations.
"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"--Provided by publisher.
Introduction -- A Quick Tour of Geometric Algebra -- Applying the Abstraction -- Generalization -- (3+1)D Electromagnetics -- Review of (3+1)D -- Introducing Spacetime -- Relating Spacetime to (3+1)D -- Change of Basis Vectors -- Further Spacetime Concepts -- Application of the Spacetime Geometric Algebra to Basic Electromagnetics -- The Electromagnetic Field of a Point Charge Undergoing Acceleration -- Conclusion -- Appendices -- References -- Further Reading -- Index.
Includes bibliographical references and index.
IEEE Press series on electromagnetic wave theory