Motivation for some exercises in Atiyah-Macdonald

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I was doing the exercises in Atiyah-Macdonald and arrived at Chapter 3. And I found that the exercises from 3.21 to the end of the chapter was so weird and complicated. It talked about homeomorphism between spectrum and introduced a strange concept called fiber which I was complete unaware about it. So did the next exercises talking about presheaf of rings and constructible topology. When I read the proofs of them, I simply felt I lost in them.

So what are the motivations for these concepts and what references should I consult to get a better understanding of these exercises?

Thank you very much!