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Titlebook: Directed Quantities in Electrodynamics; Bernard Jancewicz Book 2021 Springer Nature Switzerland AG 2021 Electrodynamics.Electrodynamics ge

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发表于 2025-3-21 18:00:48 | 显示全部楼层 |阅读模式
书目名称Directed Quantities in Electrodynamics
编辑Bernard Jancewicz
视频video
概述Explores directed quantities in classical electrodynamics from a geometrical perspective.Illustrates the definitions, properties, and uses of directed quantities with over 200 figures.Suits a wide aud
图书封面Titlebook: Directed Quantities in Electrodynamics;  Bernard Jancewicz Book 2021 Springer Nature Switzerland AG 2021 Electrodynamics.Electrodynamics ge
描述.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.
出版日期Book 2021
关键词Electrodynamics; Electrodynamics geometry; Directed quantities electrodynamics; Directed quantities pla
版次1
doihttps://doi.org/10.1007/978-3-030-90471-5
isbn_softcover978-3-030-90473-9
isbn_ebook978-3-030-90471-5
copyrightSpringer Nature Switzerland AG 2021
The information of publication is updating

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发表于 2025-3-21 21:55:50 | 显示全部楼层
Book 2021res, 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 physic
发表于 2025-3-22 02:17:01 | 显示全部楼层
https://doi.org/10.1007/978-3-663-11467-3laced by a pair: a planar scalar and a planar vector—all three are respectively nontwisted or twisted quantities. Similar replacements of spatial quantity by pairs of planar quantities are needed for other types. For the exterior forms, so-called restrictions to plane are necessary.
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Electromagnetism in Space-Time,—its direction determines time axis. In space-time, two field quantities, namely a . . joining the . and . fields, and a . uniting the . and . fields, are sufficient to write down two of Maxwell’s equations with the use of exterior derivatives of differential forms. They are independent of the metric of space-time.
发表于 2025-3-22 18:09:57 | 显示全部楼层
https://doi.org/10.1007/978-3-322-85114-7Section 4.1 is devoted to describing electromagnetism as far as possible in a metric-free manner. This includes definitions of relevant physical quantities and principal relations: field quantities, potentials, densities of charge, current, energy and energy flux, Maxwell’s equations, Lorentz force, continuity equation, and gauge transformation.
发表于 2025-3-22 21:57:17 | 显示全部楼层
https://doi.org/10.1007/978-3-663-11467-3This chapter is devoted to electromagnetic waves, as far as possible treated without the use of metric. Essential notions, necessary to describe any wave are introduced in Sect. 5.1, namely: a phase, a wave covector and a one-from of slowness as a quantity dual to phase velocity (which can’t be defined uniquely in a metric-free manner).
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