Analysis Functional Analysis by Riesz and Sz.-Nagy

AI Thread Summary
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

    Votes: 0 0.0%

  • Strongly don't Recommend

    Votes: 0 0.0%
  • Total voters
    1
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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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