Real Analysis Textbooks - What are the Best Options?

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SUMMARY

The discussion centers on recommendations for real analysis textbooks. "Baby Rudin" is noted for its conciseness but is considered challenging for some learners. Michael C. Reed's text is mentioned as decent, while "Riesz and Nagy" and "Wheeden and Zygmund" are favored by experts in the field. Additionally, "Dieudonné's Foundations of Modern Analysis" is highlighted for its comprehensive coverage of metric spaces and functional analysis, although it lacks measure theory.

PREREQUISITES
  • Understanding of basic calculus concepts
  • Familiarity with metric spaces
  • Knowledge of limits and continuity
  • Basic exposure to functional analysis
NEXT STEPS
  • Research "Baby Rudin" for its approach to real analysis
  • Explore "Dieudonné's Foundations of Modern Analysis" for advanced topics
  • Investigate "Riesz and Nagy" for insights into functional analysis
  • Study measure theory to complement real analysis knowledge
USEFUL FOR

Students and educators in mathematics, particularly those focusing on real analysis, as well as professionals seeking to deepen their understanding of advanced mathematical concepts.

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I'm planning to learn real analysis in the up and coming holidays, anybody have any good suggestions on which textbooks will be useful?

I've heard good comments about Baby Rudin, is this true?
 
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michael c. reed's text was a decent real analysis book IMHO
 
i found baby rudin to be very concise and hard to learn from. i like riesz nagy, but i am not an expert. friends of mine who are experts use wheeden and zygmund.
 
i guess i do not know what you mean by real analysis on second thought. i am assuming you mean measure and integration, but some people just mean limits and metric spaces, which is what baby rudin suggests to me.

professional analysists mdo like baby rudin, so you mgiht try it to see if you are one opf them. i disliekd it myself. if your idea of fun is treating a real number as a dedekind cut, be my guest.

another excellent book is dieudonne's foundations of modern analysis for metric spaces, banach and hilbert spaces, and real and complex calculus in that setting. no measure theory though but it is a wonderful book.
 
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