I'd like to read Lee's Intro to Smooth Manifolds, but I'm unsure if I have the required background.
My situation is a bit strange: I have an M.Sc. in math, but it's a few years old so my multivariable analysis is definitely pretty rusty. I'm still reasonably comfortable with the differential half (though I'm sure there are details I've forgotten), but I'm not sure I recall anything at all about differential forms. Would it be worth picking up something like Munkres's Analysis on Manifolds to go through and refresh everything before diving into Lee's book, or would I be OK without?
I'm not as concerned about the topology prerequisites since that's closer to where my interests were during my degree so I still remember that much better.