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Hello everyone,

I am an engineering student who wants to self-study some physics and the math that describes it. To this end, I see general relativity as one goal, and to get to this (to my understanding, correct me if I'm wrong) I need to understand differential geometry, and for that, topology, and, finally, I've heard that it is good to study real analysis before that.

Maybe it was only vain ambition.

Now, in reading the *first* stepping stone, I am discouraged, and gave up on the practice problems a while ago. Of course, there are those people who complain that it is "too hard" - but has anyone read "introduction to real analysis" by Gemignani? Is it a "good" textbook to help the reader understand and write proofs well?

It is a pretty obscure thing from the 70's (and cheap, which is why I bought it).  

Do you think Real Analysis is really necessary here for deep understanding? Does so much topology depend on it? If so, what Real Analysis textbooks are good for being wholesome, but also understandable for beginners like me, with very little exposure to proofs and set notation?

If not, what topology book do you recommend?

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Thanks and all response is very much appreciated.

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