For math majors, baby Rudin is the standard. I would say though that it's probably too terse for most students. I like Pugh's book quite a lot. I think it strik

For math majors, baby Rudin is the standard. I would say though that it's probably too terse for most students. I like Pugh's book quite a lot. I think it strikes a good balance between not being long winded while providing enough explanation. Checking the whole answer as you mention is not going to be that helpful in general. There's more than one way to write most proofs and the nature of proof problems is that you have the answer at the beginning. Just make sure you're familiar with basic proof techniques.