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I was accepted into a top tier Ph.D. Operations Research program. I have six months to prepare independently on my own (at home). Everybody told me real analysis is the first thing I should look at (which makes sense, because I don't have proof experience).

Can you please recommend me a book that has a high number of worked examples (e.g., any solutions manual).

I got the Bartle and the Rosenlicht text, but there are no solutions to the exercises, and in the text there are not many worked proofs.

Remark: I posed this thread in two forums because I want to have higher exposure and I didn't know which one would be more fitting.

Can you please recommend me a book that has a high number of worked examples (e.g., any solutions manual).

I got the Bartle and the Rosenlicht text, but there are no solutions to the exercises, and in the text there are not many worked proofs.

Remark: I posed this thread in two forums because I want to have higher exposure and I didn't know which one would be more fitting.

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