I would like to start learning differential geometry and I find the concept of germs very beautiful and enlightening. Unfortunately, I have Lee's Introduction to Smooth Manifolds, which only mentions them without using them. Is there any differential geometry book which develops the theory around germs, and adapted for a first course in differential geometry? If so, is it a good idea to start learning with that point of view? Or would you rather advise me to learn the classical approach first?
2026-02-22 21:27:58.1771795678
Book on differential geometry which uses germs
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I think "Global calculus" by Ramanan is a good book to have a look at. Though I would not consider it an introduction to smooth manifolds and would be more profitably read by someone that already has the hands-on experience that Branimir mentions.