The Elements of Real Analysis

by Robert G. Bartle

Book Overview

Presents the basic theory of real analysis. The algebraic and order properties of the real number system are presented in a simpler fashion than in the previous edition. This description may be from another edition of this product.

• Format: Hardcover
• Language: English
• ISBN: 0471054623
• ISBN13: 9780471054627
• Release Date: January 1964
• Publisher: John Wiley and Sons
• Length: 447 Pages
• Weight: 3.60 lbs.

Customer Reviews

Couldn't be better

This book is really smooth, full of examples and problems from easy to moderate (and a few difficult ones). this book was the first book I read to learn analysis and I owe it a lot. compared to the other text books of math, I guess this book is one of the top 2%. due to its enormous amount of examples and problems with the keys in the back, it is also an awesome book for self study on the subject. I definitely recommend to start from this book if you are a graduate engineering student who wants to learn real analysis.

best baby reals book ever

This is the best "baby reals" book ever. Baby Rudin is too terse, and most other books lack the rigor. The problem sets and projects are extensive and have a wide range of difficulty levels. There are even good hints/solutions in the back for selected problems which allows the student to learn by seeing a few solved problems--this is rare in an advanced math book for some unknown reason. My only complaint would be to spend a bit more time on vector calc as those with a course from something like Kaplan's Advanced Calc book will be at an advantage in a fluids class for example. This is a minor quibble though in the end. 5 stars!

Good stepping stone to Rudin

I read and studied this book before moving on to Baby Rudin, and it helped a great deal. Although it's not perfect by any means, it's one of the best undergraduate analysis texts I've seen. It has the rigor and thoroughness of Baby Rudin, combined with more motivation, a freer style, and a willingness to talk to the student more (rather than past the student, as Baby Rudin often does). It's too bad more people haven't heard of it.

OUTSTANDING!!!

I have read a number of texts on real analysis and I have been somewhat critical in my reading of late because I am an aspiring author of a calculus text. The conclusion I have reached is that Bartle has written one of the two best books on real analysis that I have seen. (Maybe even THE best!!) The other book that I would say might be it's equal is "Real Analysis and Point-Set Topology" by Donald and Mildred Stancl. Both of these texts give excellent introductions to the ideas of metric and other topological spaces, which I think is essential to a proper understanding of continuity and, of course, the heart of analysis itself.