Clifford algebras are assuming now an increasing role in
theoretical physics. Some of them predominantly larger ones are
used in elementary particle theory, especially for a unification of
the fundamental interactions. The smaller ones are promoted in more
classical domains. This book is intended to demonstrate usefulness
of Clifford algebras in classical electrodynamics. Written with a
pedagogical aim, it begins with an introductory chapter devoted to
multivectors and Clifford algebra for the three-dimensional space.
In a later chapter modifications are presented necessary for higher
dimension and for the pseudoeuclidean metric of the Minkowski
space.Among other advantages one is worth mentioning: Due to a
bivectorial description of the magnetic field a notion of force
surfaces naturally emerges, which reveals an intimate link between
the magnetic field and the electric currents as its sources.
Because of the elementary level of presentation, this book can be
treated as an introductory course to electromagnetic theory.
Numerous illustrations are helpful in visualizing the exposition.
Furthermore, each chapter ends with a list of problems which
amplify or further illustrate the fundamental arguments.
General
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