MHB Looking for a Problem Book in Real Analysis?

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SUMMARY

The forum discussion centers on recommendations for problem books in real analysis, specifically for users familiar with Rudin's "Principles of Mathematical Analysis." Key suggestions include Demidovich's exercise book, which is standard at Moscow State University, and its companion, the Anti-Demidovich, which contains solutions. Additionally, "Counterexamples in Analysis" and "Schaum's Outline of Advanced Calculus" by R. Wrede and M. Spiegel were mentioned as useful resources. Participants emphasized that Demidovich may be too elementary for those already studying Rudin.

PREREQUISITES
  • Familiarity with Rudin's "Principles of Mathematical Analysis"
  • Understanding of real analysis concepts
  • Basic knowledge of mathematical problem-solving techniques
  • Access to mathematical literature and resources
NEXT STEPS
  • Research "Demidovich's Exercises in Analysis" for practical problems
  • Explore "Counterexamples in Analysis" for deeper insights
  • Investigate "Schaum's Outline of Advanced Calculus" for supplementary material
  • Look into Kaczor and Nowak's volumes for advanced problem sets
USEFUL FOR

Students and educators in mathematics, particularly those focusing on real analysis and seeking to enhance their problem-solving skills.

caffeinemachine
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Hello MHB,

I want to sharpen my analysis skills.

I am looking for a problem book in real analysis.

Anybody here knows a good one?

I use Rudin's Principle of Mathematical Analysis for reading.
 
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Re: problem book for real analysis

caffeinemachine said:
Hello MHB,

I want to sharpen my analysis skills.

I am looking for a problem book in real analysis.

Anybody here knows a good one?

I use Rudin's Principle of Mathematical Analysis for reading.

I have been advised to read this book , seems a good one. Are you looking for a book that only contains problems ?
 
Re: problem book for real analysis

ZaidAlyafey said:
I have been advised to read this book , seems a good one. Are you looking for a book that only contains problems ?
Hello Zaid,

Yes, I was looking for a book which contains only problems (and may contain solutions).
 
Re: problem book for real analysis

Here is a book with solutions.
 
Re: problem book for real analysis

Don't know how available this book is, but Demidovich is the standard exercise book in the mathematics department of Moscow State University. There is also an Anti-Demidovich (a book of solutions).
 
Re: problem book for real analysis

Evgeny.Makarov said:
Don't know how available this book is, but Demidovich is the standard exercise book in the mathematics department of Moscow State University. There is also an Anti-Demidovich (a book of solutions).
Place the Demidovich book on a table and throw the Anti-Demidovich book at it. Do they annihilate each other?

(Rofl)Hahahahahahahahaha...(Giggle)Hahahaha... :) Haha...Ummmm I'm going to go hide now. (Wasntme)

-Dan
 
caffeinemachine said:
Hello MHB,

I want to sharpen my analysis skills.

I am looking for a problem book in real analysis.

Anybody here knows a good one?

I use Rudin's Principle of Mathematical Analysis for reading.

Hi caffeinemachine, :)

Schaums Outline of Advanced Calculus by R. Wrede, M. Spiegel might be a good one.
 
Re: problem book for real analysis

topsquark said:
Place the Demidovich book on a table and throw the Anti-Demidovich book at it. Do they annihilate each other?
They may not annihilate, but throwing one on top of the other may break the table. Demidovich has over 600 pages, and Anti-Demidovich consists of five volumes for the total of over 1500 pages (though the last two volumes are about complex analysis and differential equations). But there are many places where both books (in Russian, at least) can be downloaded.
 
  • #10
I've viewed Demidovich online and I think if you are already reading Rudin, then unless I've seen the wrong book Demidovich is going to be too elementary. I would say maybe try the Kaczor and Nowak volumes (I, II, III).
 
  • #11
Prometheus said:
I've viewed Demidovich online and I think if you are already reading Rudin, then unless I've seen the wrong book Demidovich is going to be too elementary. I would say maybe try the Kaczor and Nowak volumes (I, II, III).

I thought the same of Demidovich. Thanks for your suggestion. I will check the books out as soon as I can.
 

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