Good text suggest to abstract algebra and point set topology as well as metric space, or you may consider as introductory to topology

Question

I am going to take courses about those topic. i want some text which is suitable for beginner and with some difficult example or questions.

Answer 1

I think that the book by Hunter and Nachtergaele covers exactly these topics in first chapter and I have found that very well-written, especially if you need an introductory book.