Counterexamples in Analysis (Dover Books on Mathematics) unknown Edition

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.

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

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!

I bought this to get help with limits of step functions. I've primarily looked at Example 24 of Chapter 2.Given the need to consider many examples, one can't quibble with a terse presentation. However, in the given example, it's difficult to see how the sequence converging to g_n(x) can be chosen to be "decreasing", as opposed to "non-increasing."Overall it's a great book and came to me in great condition!

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.

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.

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.

Very useful for students. I like to flip through it, and sometimes my professor mentioned examples/counterexamples that were in this book. I noticed he had one in his office.