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You can ask as well: How can a book be called modern when it brings Hamliton's principle and Noether's theorems as the last chapter of a textbook about E&M?
It's not modern at all, precisely for the reason you give. Landau and Lifshitz is much more modern. I often wonder, why usually they don't use the "relativity first" approach. Relativity makes E&M so much simpler, because it's the natural way to fromulate it. One answer is that the curricula of universities often don't follow a modern order of subjects.
I'd also teach non-relativistic quantum mechanics before E&M, because then you have a natural approach to the most usual systems of orthogonal functions, particularly spherical harmonics and all that, which you then can use for the more complicated system of vector fields in E&M.
It's not modern at all, precisely for the reason you give. Landau and Lifshitz is much more modern. I often wonder, why usually they don't use the "relativity first" approach. Relativity makes E&M so much simpler, because it's the natural way to fromulate it. One answer is that the curricula of universities often don't follow a modern order of subjects.
I'd also teach non-relativistic quantum mechanics before E&M, because then you have a natural approach to the most usual systems of orthogonal functions, particularly spherical harmonics and all that, which you then can use for the more complicated system of vector fields in E&M.