Electromagnetic with Covariant method

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Discussion Overview

The discussion revolves around the study of electromagnetic theory using covariant methods, particularly in the context of special relativity. Participants seek recommendations for resources that cover the notation and mathematical approaches associated with this topic, primarily using cgs units.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant requests recommendations for studying electromagnetic theory with covariant methods, expressing a need for guidance on notation and mathematical approaches.
  • Another participant suggests Landau & Lifgarbagez's "The Classical Theory of Fields" as a key resource, noting its insightful yet terse presentation.
  • Jackson's "Classical Electrodynamics" is mentioned as another important text, although its covariant formulation is introduced later in the book.
  • A participant recommends Griffiths' "Introduction to Electrodynamics" for those new to covariant EM, as it covers the topic in its final chapter.
  • Schwartz's "Principles of Electrodynamics" is highlighted as an excellent resource, particularly for those comfortable with ict notation.
  • Additional recommendations include A. O. Barut's book and texts on special and general relativity, such as Rindler and Misner, Thorne & Wheeler.
  • A participant mentions using multiple books, including Bo Thide's and F.E. Low's, to meet their learning needs.
  • Jerrold Franklin's book is also suggested as a potentially useful resource.

Areas of Agreement / Disagreement

Participants generally agree on the value of the recommended texts, but there is no consensus on a single best resource, as different participants express varying preferences and needs.

Contextual Notes

Some participants note the challenges of finding a single book that meets all their needs, indicating a potential limitation in the available resources for learning covariant electromagnetic theory.

Who May Find This Useful

This discussion may be useful for students and enthusiasts of physics, particularly those interested in advanced electromagnetic theory and its relationship with special relativity.

elmikha
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Hi
Now I'm studying Electromagnetic we started to study the EM with the Covariant method (contravariant method too) we use cgs units almost of time
so I ask if someone can give a hand to with recomendation to where study the notation and the mathematical approach of EM by covariant method (EM + special relativity)

Sorry for my English but my native language it isn't English

Thanks
 
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THE source: Landau & Lifgarbagez, The Classical Theory of Fields. This is Vol. 2 of The Course on Theoretical Physics. Anyone with more than a layman's love of physics should make themselves, at the very least, aware of the ten volume course. Chapter 1 of this volume is the on the theory of relativity. Be warned, the entire series is notorious for it's amazing physical insight, terse presentation, and lack of enough examples to help learn problem-solving techniques.

At the same level is Jackson's Classical Electrodynamics; however, the covariant formulation isn't introduced until ~Chapter 12. If you have not seen covariant EM before, then it might be best to start at the undergraduate level with Griffiths' Introduction to Electrodynamics. He introduces the covariant formulation in the very last chapter.
 
If you don't mind the ict notation, Schwartz's Principles of Electrodynamics is excellent. In fact, my favorite book on E&M.

I would second Landau & Lifschitz and the relevant chapters in Jackson. There's also the little book by A. O. Barut, which is still very modern in outlook.

Some SR and GR books may also be helpful, like Rindler or Misner, Thorne & Wheeler.

See also the thread in this forum on field theory.
 
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I've been reading BoThide's for a while now and I'd recommend you also use some other book like F.E. Low's to supplement it. Personally I am using Schwinger, Landau, Low and Thide and am reading them side by side because I can't find anyone book to suit my needs.
 
Thanks for mentioning Bo Thide's book.
It is really nice.

cheers,
 
Also look into Jerrold Franklin's book. It looks good.
 

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