Top Real Analysis Books for Undergraduates: Expert Recommendations

[nlsherrill]

Hi,

I am currently taking real analysis(undergraduate course), and am using the book "Introduction to Real Analysis" by Bartle and Sherbert. I think the book is okay overall, but I was hoping to purchase a secondary text to look at whenever I am confused with a proof or something in the Bartle book. Are any of the Dover books on real analysis any good? They are really cheap and that's what I am looking for. I don't need something to work problems out of, just something else to look at in case I don't understand something in Barte.

 

[fourier jr]

Here's the one that I used. It's good:
http://store.doverpublications.com/0486477665.html

I haven't seen this but it seems to get excellent reviews on amazon:
http://store.doverpublications.com/0486650383.html

 

[Jorriss]

I enjoy Pugh's Analysis text. Very clear, has a bit of humor and it does retain rigor (though some claim it is not completely rigorous in the first couple chapters).

 

[nlsherrill]

Thanks all. Not really worried about rigor, just want good explanation of concepts. Also, a book with some humor(personality) would be great. The text I am using is dull, unemotional, and I have a sense that the authors aren't even that trilled by the topic.

 

[jbunniii]

You might want to check out

The Way of Analysis

or

Understanding Analysis

 

[alissca123]

Kolmogorov & Fomin is pretty good...

 

[Mike706]

https://www.amazon.com/dp/0387984801/?tag=pfamazon01-20

Mathwonk praises this book highly. I haven't read any real analysis yet so I can't comment, but I thought I'd throw it out there.

 

[penta-d]

I like the following books:

Brannan - A First Course in Mathematical Analysis

Estep - Practical Analysis in One Variable

Unfortunately I have no experience with the Dover titles in analysis, so I can't offer any help on those. The books above are more expensive than most Dover publications, but if you like the Amazon previews/reviews then you might see if your library has copies.