Real Variables with Basic Metric Space Topology (Dover Books on Mathematics)

Very readable & informative introduction to real analysis.

Unequivocally one of the best treatments of real variables I have come cross. Transitioning into proof-based courses such as real analysis often makes students feel overwhelmed on how to approach proofs but this book is an invaluable help in that regard.

It’s cheap ,it’s what I need

Not an easy read per se' but contains some good / solid mathematics and connects analysis with topology which for me is interesting - makes math a bit holistic ....

Proofs in this book is more straightforward, very intuitive and readable. Especially good for non-mathematic major students. I think most people who encounter advanced calculus for the first time would get lost in a bunch of axioms and topology properties, but this book makes everything clear.

I have no idea why this isn't the single most popular analysis textbook amongst self-taught analysts. This book is incredibly well written, ideal for self study, and is explicitly stated as a prereq for Ash's renowned Measure and Probability. This book is great.

Great book to study analysis on your own. Has answers to most problems.

Thank you.

Probably good for a quick overview or someone who is just entering the topic. I took it up before reading the author's more thorough "Probability and Measure Theory". But in hindsight I should have dived straight into the latter.