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Introduction to Real Analysis, 3rd Edition, by Robert G. Bartle, Donald R. Sherbert
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In recent years, mathematics has become valuable in many areas, including economics and management science as well as the physical sciences, engineering and computer science. Therefore, this book provides the fundamental concepts and techniques of real analysis for readers in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations and extend ideas to a new context. Like the first two editions, this edition maintains the same spirit and user-friendly approach with some streamlined arguments, a few new examples, rearranged topics, and a new chapter on the Generalized Riemann Integral.
- Sales Rank: #405075 in Books
- Published on: 1999-09-21
- Original language: English
- Number of items: 1
- Dimensions: 10.14" h x .77" w x 7.30" l, 1.84 pounds
- Binding: Hardcover
- 388 pages
Most helpful customer reviews
22 of 23 people found the following review helpful.
Its a Solid Introduction
By Salviati
Honestly this is a 4 star book, but like many of the advanced math textbooks the average score is too low, because of reviewers who clearly did not understand what they were getting into.
Probably the best piece of advice with regards to advanced math books like this is given in the "Preface to the Student" in Sheldon Axler's Linear Algebra Done Right, he states: "You cannot expect to read mathematics the way you read a novel. If you zip through a page in less than an hour, you are probably going too fast."
If you study from this book from that standpoint, you will get a lot out of it. But its a serious commitment.
11 of 11 people found the following review helpful.
Decent Book
By W. Yu
In Analysis I, we used the first 6 chapters of this book and now in Analysis II, we're covering most of the rest. This book is quite good. When I use this book, I often sit in front of a computer so that I can look up anything I don't understand. Basically, I study Analysis all from this book, Wikipedia, and random sites. I do agree that if you don't have access to full solutions to some problems at first, it's not easy to imitate the proofs in the book.
One thing to point out is the exercises are quite crucial. If you don't do most, you will miss many subtleties that are not explicitly mentioned. For example, a function that is continuous except for countably many (maybe infinite) discontinuities is integrable. Another thing to note is for Chapter 7 which is more succint and to the point in 2nd ed. than in the 3rd.
If you want solutions, with a bit of search on google you can find quite many. The key is to search for Universities that use this book and check out the course webpage.
In Analysis III and IV, we use Rudin.
13 of 14 people found the following review helpful.
Great Book
By Ken
I'm using this book for my real analysis course at University of Illinois and I love it. Most readers seem to be upset that some of the material isn't presented as easily as it could be, but this book is an introduction to real analysis, not to math. This is not a good book for people who have never written or read formal proofs or who are not familiar with concepts like the triangle inequality. This is a good book if you are familiar with formal mathematics and have interest in real analysis.
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