Good real analysis books

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 thats 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 im 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

http://www.amazon.com/Fundamentals-A.../dp/0387984801

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.

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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 Recognitions: Gold Member	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	Good real analysis books 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 im using is dull, unemotional, and I have a sense that the authors aren't even that trilled by the topic.

jbunniii Blog Entries: 1 Recognitions: Gold Member Homework Help Science Advisor	You might want to check out The Way of Analysis or Understanding Analysis

Mike706 Recognitions: Gold Member	http://www.amazon.com/Fundamentals-A.../dp/0387984801 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.