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Directed Quantities in Electrodynamics (Hardcover, 1st ed. 2021)
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Directed Quantities in Electrodynamics (Hardcover, 1st ed. 2021)
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This monograph explores classical electrodynamics from a
geometrical perspective with a clear visual presentation
throughout. Featuring over 200 figures, readers will delve into the
definitions, properties, and uses of directed quantities in
classical field theory. With an emphasis on both mathematical and
electrodynamic concepts, the author's illustrative approach will
help readers understand the critical role directed quantities play
in physics and mathematics. Chapters are organized so that they
gradually scale in complexity, and carefully guide readers through
important topics. The first three chapters introduce directed
quantities in three dimensions with and without the metric, as well
as the development of the algebra and analysis of directed
quantities. Chapters four through seven then focus on
electrodynamics without the metric, such as the premetric case,
waves, and fully covariant four-dimensional electrodynamics.
Complementing the book's careful structure, exercises are included
throughout for readers seeking further opportunities to practice
the material. Directed Quantities in Electrodynamics will appeal to
students, lecturers, and researchers of electromagnetism. It is
particularly suitable as a supplement to standard textbooks on
electrodynamics.
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