I am currently studying geometry and topology (with applications in physics) from the books(adsbygoogle = window.adsbygoogle || []).push({});

T. Frankel "The Geometry of Physics"

and

M. Nakahara "Geometry, topology and physics"

Both these books work pretty fast up to a sophisticated level, and I am lacking in practice. I can easily read the beginning chapters, but then when these concepts and tools are applied in later chapters - I see that I lack familiarity with the details, calculations and intuition with these objects.

So I was wondering if someone would be kind enough to recommend a good source of EXERCISES WITH SOLUTIONS in these fields, aimed at physicists. I am not completely without mathematical competency, so the occasional pure-proof derivations and proof-exercises wouldn't hurt either.

The exercises in these books are quite awful and useless, and lack solutions. SOME examples are worked through in the text, but many of the more basic things (like giving concrete examples of vector fields, pull-backs and diffeomorphisms etc) are ignored. Although I am in general very appreciative of these books, I would like to complement with something that has 1) more exercises 2) easier exercises, of "drill" type and 3) covers many topics.

Many thanks my fellow physicists :D

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# How to find suitable exercises to practice on (in physics geometry) ?

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