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## Main Question or Discussion Point

Hey everyone,

I'm looking for some books that really dig into the topic of classical field theory -- and not necessarily just the fields that were known during the heyday of classical physics (electromagnetic / gravitational), but not necessarily all about Yang-Mills and Dirac fields, either.

It's sort of difficult to describe exactly what I'm looking for (which is probably why I'm having trouble finding a book that fits the bill), so maybe the best thing to do would be to list books that I do have, and how closely they fit:

Also, this seems like it's more an advanced differential geometry text than a field theory text, though if the topics were tied back to physical applications, that would probably pass muster.

....is that enough to go on? Or have I just confused and alienated everyone?

Any suggestions would be great.

Thanks,

Justin

I'm looking for some books that really dig into the topic of classical field theory -- and not necessarily just the fields that were known during the heyday of classical physics (electromagnetic / gravitational), but not necessarily all about Yang-Mills and Dirac fields, either.

It's sort of difficult to describe exactly what I'm looking for (which is probably why I'm having trouble finding a book that fits the bill), so maybe the best thing to do would be to list books that I do have, and how closely they fit:

**Burgess - Classical Covariant Fields**. This is the benchmark. Basically, I'm looking for something that covers the same type of topics that this one does, but perhaps going in-depth on fewer topics.**DeWitt - Dynamical Theory of Groups & Fields**. The opening paragraph of this book lays out well exactly what I'm*not*looking for:This seems to be a common thread in virtuallyA chief goal of these lectures is to develop a framework within the quantization of fields ... may be carried out. ...[T]he goal of quantization means that we shall stress the quantum outlook from the beginning, even in preliminary investigations at the classical level.

*every*book on field theory -- even many of those that are nominally supposed to be about classical field theory in particular.**Binz / Sniatycki / Fischer - Geometry of Classical Fields**. Reading the TOC of this on Amazon, I thought WOW, this sounds great. But when I picked it up, not only did I find the unformatted text almost unreadable, but there is almost NO reference to physical applications.Also, this seems like it's more an advanced differential geometry text than a field theory text, though if the topics were tied back to physical applications, that would probably pass muster.

**Soper - Classical Field Theory**. I like this one, but it's pretty basic. It was a great primer, but I'm looking for something slightly more advanced (or perhaps at about the same level of 'difficulty' of the non-introductory chapters, but with a broader range of topics).**Barut - Electrodynamics and Classical Theory of Fields and Particles**. I'd compare this one to Soper. Really good text, well-written and original, grounded in reality -- but very focused on electrodynamics..which makes sense given the title, but again, I'm looking for maybe this depth on more / different topics.**Doughty - Lagrangian Interaction**,**Felsager - Geometry, Particles and Fields**. Just bought these two. From the TOC, they seem like they touch on classical field theory, but only as a stepping stone to QFT.**Ng - Introduction to Classical and Quantum Fields**. Given that classical fields were in the title, I was a little disappointed at how little a role they played.**Lifgarbagez / Landau - The Classical Theory of Fields**. I'm probably not gonna make any friends saying this, but I just can't get into the Landau books. They just feel...dated. I was again disappointed by the fact that although it was called "classical theory of fields", which I took to be "fields in general", it was focused on pretty basic electrodynamics / gravity.....is that enough to go on? Or have I just confused and alienated everyone?

Any suggestions would be great.

Thanks,

Justin

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