Top Real Analysis Books for Undergraduates: Expert Recommendations

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The discussion centers around finding a supplementary text for real analysis to complement "Introduction to Real Analysis" by Bartle and Sherbert. The original poster is seeking a secondary resource that provides clear explanations and possibly some humor, without a focus on problem-solving. Recommendations include Dover publications, particularly one that has received excellent reviews on Amazon, as well as Pugh's "Analysis," which is noted for its clarity and engaging style. Other suggested texts include "The Way of Analysis" and "Understanding Analysis" by Kolmogorov & Fomin. Additionally, some participants mention other books like Brannan's "A First Course in Mathematical Analysis" and Estep's "Practical Analysis in One Variable," although these are generally more expensive than Dover titles. The overall consensus emphasizes the need for accessible explanations and a more engaging writing style to enhance understanding of real analysis concepts.
nlsherrill
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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.
 
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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).
 
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.
 
Kolmogorov & Fomin is pretty good...
 
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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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