Elementary Real Analysis: Second Edition (2008) [Paperback]

Brian S. Thomson (Author), Judith B. Bruckner (Author), Andrew M. Bruckner (Author)

Book Description

Publication Date: April 7, 2008

This is the second edition of the text Elementary Real Analysis originally published by Prentice Hall (Pearson) in 2001. Chapter 1. Real Numbers Chapter 2. Sequences Chapter 3. Infinite sums Chapter 4. Sets of real numbers Chapter 5. Continuous functions Chapter 6. More on continuous functions and sets Chapter 7. Differentiation Chapter 8. The Integral Chapter 9. Sequences and series of functions Chapter 10. Power series Chapter 11. Euclidean Space R^n Chapter 12. Differentiation on R^n Chapter 13. Metric Spaces

Product Details

• Paperback: 684 pages
• Publisher: CreateSpace; 2 edition (April 7, 2008)
• Language: English
• ISBN-10: 143484367X
• ISBN-13: 978-1434843678
• Product Dimensions: 9.9 x 7.1 x 1.9 inches
• Shipping Weight: 2.9 pounds (View shipping rates and policies)
• Average Customer Review: 4.8 out of 5 stars  See all reviews (4 customer reviews)
• Amazon Best Sellers Rank: #591,016 in Books (See Top 100 in Books)

More About the Author

Brian S. Thomson is Professor Emeritus in the Mathematics Department of Simon Fraser University. He studied at the University of Toronto and the University of Waterloo, before accepting his position at Simon Fraser in 1968.

He has served since 1997 as an Associate Editor for the Journal of Mathematical Analysis and Applications and as a Contributing Editor for the Real Analysis Exchange. He is the author or co-author of a number of memoirs, treatises, and textbooks in real analysis and, most recently, an elementary textbook on Mathematical Discovery.

The web site ClassicalRealAnalysis.com can be consulted for information and free downloads
for our textbooks.

Customer Reviews

Most Helpful Customer Reviews

1 of 1 people found the following review helpful:

5.0 out of 5 stars easy to understand, great explanations, June 29, 2010

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me - See all my reviews

This review is from: Elementary Real Analysis: Second Edition (2008) (Paperback)

This book is really good. It provides a gentle introduction into real analysis and explains concepts quite well. It tells you which sections can be omitted if you don't wish to go through the entire book, and the sections are written in such a way that you'll still be able to understand the subsequent sections if you do indeed choose to skip the optional sections. It does give some answers/hints in the back of the book, but I wish they provided an additional solutions manual. (Perhaps they do, and I just didn't search hard enough). Either way, it's a really well-written book, and I highly recommend it.

5.0 out of 5 stars The best contemporary real analysis, January 26, 2012

By 

Danail Irinchev "D.Irinchev" (Zurich, Switzerland) - See all my reviews
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This review is from: Elementary Real Analysis: Second Edition (2008) (Paperback)

You will probably need some previous exposure to analysis to really appreciate this one but if you do not have such - you will have to take it on faith that this book is the ultimate real analysis reference to introduce you to the subject and help you master it in ways suitable to any further study that would need mathematical analysis.. Seriously.

4.0 out of 5 stars Chapters don't always help on exercises, April 23, 2011

By 

Maguscrowley (Owings Mills, MD) - See all my reviews

This review is from: Elementary Real Analysis: Second Edition (2008) (Paperback)

I used this text to teach myself real analysis and I had some difficulty with it. I appreciated that there were many paths to choose from in the text and there were sections I could read over for enrichment and just try a few problems from.

My biggest gripe is probably the notes at the end of the chapter. I found it very annoying that in some of the problems there had "See note ##" appended. If it needs to be included then it should be written in the problem. Sometimes it was appended to a problem that the reader (and maybe this was a personal limitation) had no hope of solving on their own and the answer was given without explanation. Some of these problems were deriving famous formulas such as Binet's formula for the Fibonacci sequence.

The first chapter has a quote by Euler speaking of students attempting analysis with a lack of algebra and occasionally the author will take leaps in algebra or logic that take some filling in and it takes time to get used to the bounding about but perhaps that's par for the course.

A solutions manual would be nice but I doubt that's going to happen.