Counterexamples in Analysis (Dover Books on Mathematics)

This book helps unfold so many misters where the mind has difficulties in producing examples that are not intuitive.What this book taught me later in my professional life: put a lot of effort to break things that are important: methods, software (yes! software), solution paths etc. For example, in software it is important to spend resources to break a code - we can see very well the merits, but it is hard to look under the hood.

Ok this is among the best books in real analysis you can find around. The counterexamples are a big help in understanding the real thing, the explanations are crystal clear and, above all, this book is dirty cheap! It's difficult to find a better book for even a heftier sum, this book is a must have for anyone interested in real analysis!

Like the authors warned, I would've liked it if there were some counterexamples I thought of put in the book, but I realize this is technically infeasible.Really, this book acts as a handy reference. "Oh, is this true? (look for counterexample) Maybe it is/No it's not." It helps quicken the learning experience quite a bit. The fact that it's only around $10 also makes it handier.

I really like the compactness of this book. Seriously, It gives almost all the major definitions which you would ever need, and it provides all kinds of nontrivial examples. Depending on your preference, the notation can sometimes be a little awkward, but it is neither incorrect nor ambiguous; that is, it is still correct and clear, depending on your understanding. Any mathematician ought to have this book in his collection for reference.

One might question the taste of such a book but helpful in conjunction with baby Rudin to prepare for real analysis test in college on the first exposure.

What a fantastic idea for a book. Every math undergrad needs this. Should be required.

All the positive reviews here are true. This is an awesome book that every serious math student should own, especially graduate students preparing for qualification exams. And unlike so many graduate level works this one is a bargain in a well made Dover edition. As one reviewer notes "Just get it".

Read this book as a graduate student. I think it is a very useful resource for mathematics teachers and students. Glad that they reprinted it.