Finding Textbooks for Higher Math Proofs

[INeedHelpTY]

Hi everyone, please check the attachments for the problems. What i am looking for is not the help to answers. I've been desperately looking for relevant textbooks online that can help me out with proofs problems like that of the attachments. My professor does not provide a textbook, and his lectures does not really help with doing the problems.

If anyone knows any TEXTBOOKS and/or WEBSITES that can help me out with the materials in the attachments, please list them here. Thank you very much.

If i post this on the wrong section, please let me know where to post it as well. Thank you so much.

 

[micromass]

Try topology of Munkres. You'll only need the first chapter. I think it contains most of the things you want...

 

[JonF]

I'm going through that book now, and I can definitely give it a recommendation and agree the first chapter will cover most of the set theory you need for those.

 

[INeedHelpTY]

thank you guys, i look through the book, and it really helps, if anyone know any other resources, that would help too, thanks