Overview
- 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 audience with chapters gradually increasing in complexity and exercises appearing throughout
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About this book
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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Keywords
- Electrodynamics
- Electrodynamics geometry
- Directed quantities electrodynamics
- Directed quantities plane
- Exterior forms
- Differential forms
- Metric electrodynamics
- Premetric electrodynamics
- Anisotropic medium
- Electromagnetic wave
- Eigenwaves
- Plane waves
- Stress sensor
- Energy-momentum tensor
- Electromagnetism space-time
Table of contents (7 chapters)
Authors and Affiliations
Bibliographic Information
Book Title: Directed Quantities in Electrodynamics
Authors: Bernard Jancewicz
DOI: https://doi.org/10.1007/978-3-030-90471-5
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-90470-8Published: 15 February 2022
Softcover ISBN: 978-3-030-90473-9Published: 16 February 2023
eBook ISBN: 978-3-030-90471-5Published: 14 February 2022
Edition Number: 1
Number of Pages: XIV, 319
Number of Illustrations: 263 b/w illustrations
Topics: Differential Geometry, Mathematical Physics, Classical Electrodynamics