This is not a bad book. However, I dont 't understand how some reviewers claim that this book is ideal for the beginning student. Yes some things are explained very clear, however the reader should be aware that this book contains a lot of gaps left as an exercise for the reader. And I think that most beginning undergraduate students will not be able to complete these gaps without the help of a good teacher.<br><br>If you want a very good book for beginning abstract analysis, I would rather recommend "Real Mathematical Analysis" of "Charles Chapman Pugh". Pugh's book is excellent: it is very clear written, motivates the reader by providing the necessary background details that puts everything in the right context (like Abbott does also in an excellent way) but full proofs are present. In Pugh's book, occasionally some proofs contain little gaps left as exercise, but if they do, these gaps are more fair than the gaps in Abbott' s book, if you understand the material you should be able to solve them without a guiding teacher. And indeed Pugh also has very challenging exercises, but het does not mix them up with the theory, wich is more fair to the reader.<br><br>An additional plus, in contrast wih Abbott, is that Pugh's book contains more abstract material and is fully n-demensional.