Differential geometry, what book is good for a first timer?

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STEMucator
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I've been wanting to see what this topic is all about for awhile now. I see the word "Manifold" and other terminology floating around on the forum. It got me really curious.

I wonder what the prerequisites are to reading a book like this?

Hypothetically I have the prerequisites, what would you recommend for a first time read?

I care about how rigorous the book is in proving theorems. Something unfounded wouldn't be worth reading.
 

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