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I'll write here a list of my personal favorites plus some commonly used books. I wouldn't be surprised if your teacher chose either one of the books below as a textbook: i) Mechanics, the first volume of the Landau course on Theoretical Physics; ii) Goldstein's book "Classical Mechanics"; iii) Taylor's book "Classical Mechanics"; iv) Marion's book ...


I think I good book for that may be C. J. Isham's Modern Differential Geometry for Physicists. I haven't gotten to the chapter of fiber bundles, but what I've read seems to be quite rigorous. And as it is written for physicists, I think it could please your needs.


Griffiths has a quite good book, Introduction to Elementary Particles. The last chapter (I believe only in the revised edition) is all about gauge theories and culminates in the Higgs mechanism. This book can be read with just a bit of E&M, though a good deal of quantum mechanics will make the reading much quicker. Many of the specific examples can be ...

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