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

[STEMucator]

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.

 

[WannabeNewton]

"Calculus on Manifolds"-Spivak is a nice book but you know metric spaces and basic topology so you can go straight for "Differential Topology"-Guillemin and Pollack: https://www.amazon.com/dp/0821851934/?tag=pfamazon01-20