Introductory Real Analysis (Dover Books on Mathematics)

I find this a great introduction to real analysis. Contrary to what one reviewer has suggested, I think the book is fairly rigorous. It is true that some details are omitted, but they can always be filled up by the reader. In fact, this is the one of the most fun parts of reading the book! To give a concrete example: One reviewer has suggested that the theorem "Every infinite set has a countable subset" is proved without stating that the axiom of choice is required. This is certainly a serious lapse of rigour, BUT, in a later page, the author explains the axiom of choice (and several equivalent assertions) and also touches upon the fact that there are some very deep set theoretic questions, not yet fully resolved, concerning this axiom. He goes on to say "The axiom of choice will be assumed in this book. In fact, without it, we will be severely hampered for making various set-theoretic constructions". It is evident that the above theorem is one such construction. This book emphasizes an intuitive approach to the subject, something which in my opinion is neglected by far too many books. Rigour is necessary but never sufficient to acheive proficiency in math!

You have to be in it to like it! Great author and the book is well written.

Well written and interesting.

Has always been a very excellent textbook. All of Kolmogorov's contributions are classics and remain some of the best writing on mathematics. Clear and concise (but not too concise). Silverman must be given his fair share of praise for his gifted translation skills.

This book was accessible to me as a high school student with no calculus background, and taught materials at a higher level than Rudin, etc. It doesn't focus on calculus much so if that's your goal get something like Rudin or Apostol

This is a very good intermediate math book. I used it to write my undergraduate monograph and it actually helped a lot (I'm an economics student). However, it is difficult to understand without the help of other books. In fact, if you want to use this book I recommend to get also: "Topology" by Munkres and "The Way of Analysis" by Robert Strichatz. They all make a very useful math kit and if you are thinking in a Ph.D. in economics they can help you a lot if you read them (not all, buy selected chapters) before you start the math review at the begining of the Ph.D. program.

I knew that It's a classic, must read. (Although I don't understand it at all.) I think you should have some knowledge about mathematical analysis before you read this.

A classic in real analysis! Recommended!

Libro in buone condizioni. Prezzo conveniente.

This book is an excelent text for math and physics students. since in bot cases is necesary know on real analysis. The topics are very well exposed the Authors developed details when is necesary.

基礎的なところからわかりやすく書いてある。実解析のコンパクトな本である。実例も豊富で、書き方もていねいである。

Excellent livre, même s'il a sans doute un peu vieilli.

Standard real analysis textbook, And overall, good service by Amazon.