Books on Covariant formulation of Electrodynamics

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SUMMARY

The discussion centers on recommended literature for the covariant formulation of electromagnetism, particularly focusing on classical field theory using Lagrangians. Key texts mentioned include Landau & Lifshitz's "Classical Field Theory" (Volume II) and "Electrodynamics in Matter" (Volume VIII), both essential for understanding microscopic electrodynamics. Additionally, F. Scheck's "Classical Field Theory" (Springer-Verlag, 2012) is highlighted for its modern approach, emphasizing the action principle and local gauge symmetries.

PREREQUISITES
  • Understanding of classical field theory concepts
  • Familiarity with Lagrangian mechanics
  • Knowledge of four-vector notation
  • Basic principles of gauge symmetries
NEXT STEPS
  • Research "Landau & Lifshitz Classical Field Theory" for in-depth theoretical insights
  • Explore "F. Scheck Classical Field Theory" for modern applications of field theory
  • Study the action principle in field theories for advanced understanding
  • Investigate local gauge symmetries in electromagnetism for a comprehensive grasp
USEFUL FOR

This discussion is beneficial for undergraduate physics students, theoretical physicists, and anyone interested in advanced electromagnetism and classical field theory.

Joker93
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Hello!
I am an undergraduate currently enrolled in a course on theoretical physics. One big part of the course is on the classical field theory of electromagnetism(on its covariant formulation using Lagrangians mostly).
So, I would like to ask which are some good books on the subject.
Thanks in advance!
 
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@vanhees71 do you have some good recommendations that you use for your classes?
 
Dale said:
@vanhees71 do you have some good recommendations that you use for your classes?
Please note that I tried Greiner's EM book which contains a chapter on the covariant approach but we are using a lot more the field theory approach with Lagrangians and four vectors..
 
There is, of course, Landau&Lifshitz vol. II (Classical Field Theory), containing classical electrodynamics and general relativity. This volume concentrates on "microscopic electrodynamics". Electrodynamics in matter is treated in vol. VIII, which is also a masterpiece.

A even more modern approach, using the action principle for field theories, the idea of local gauge symmetries, etc. is vol. II of Scheck's theory-book series:

F. Scheck, Classical Field Theory, Springer-Verlag 2012
 
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