Analysis Functional Analysis by Riesz and Sz.-Nagy

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The book "Functional Analysis" by Frigyes Riesz and Bela Sz.-Nagy is praised for its clear and straightforward explanation of Lebesgue integration, initially presenting the concept without the complexities of measure theory. It also includes Lebesgue's version with measures and discusses alternative approaches. The author has utilized insights from this book to clarify integration and antidifferentiation in a related forum thread, addressing potential errors in earlier posts. The discussion emphasizes the book's effectiveness as a teaching resource for understanding integration concepts.

For those who have used this book

  • Strongly Recommend

    Votes: 1 100.0%

  • Lightly Recommend

    Votes: 0 0.0%

  • Lightly don't Recommend

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To me, this book's explanation of Lebesgue integration is one of the clearest and simplest available. They do it without measure theory first, then give also the version with measures, due to Lebesgue himself. Finally they mention some alternatives. I have used this discussion to explain integration and antidifferentiation as simply as I could in post #9 of the following thread.

https://www.physicsforums.com/showthread.php?t=668367

But see also posts #12 and #14 where I try to modify some possibly erroneous remarks about question #3 discussed there, which I have been unable to edit out.
 
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Thread 'What did you do with your old college textbooks?'

Many years ago, as the internet was coming of age, I burned over 500 pounds of technical manuals. I realized I can look things up on the internet faster than I can find something in a technical manual. And just about anything I might need could be found online. But letting go of my several shelves worth of college text and other science books is another matter. I can't bring myself to get rid of them but there is very little if anything I can't find online now. Books are heavy and a pain...
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