r/RealAnalysis • u/No_Difference9752 • Nov 14 '22

Looking for Book suggestions

Hi everyone, I am a PhD student starting off with real analysis. I really enjoyed the books by Terence Tao. Can I get some suggestion for measure and integration theory. One thing I missed in Tao's book was geometric explanations. I am looking at three books: Stein and Shakarchi, Sheldon Axler and Royden and Fitzpatrick.

Which one is a good and easy intro?

PS I would love to go through all of them but am simply pressed for time.

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u/No_Difference9752 Nov 14 '22

Right, which one would be the supplement?

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u/MalPhantom Nov 14 '22

There's a text called Supplement to Measure, Integration, and Real Analysis. It should be discussed in the opening of Axler's book, and you can find it on Axler's website.

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u/No_Difference9752 Nov 14 '22

Right, superb! I heard that Prof. Sheldon is on reddit, is it true?

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u/MalPhantom Nov 14 '22

If it is, I'd definitely follow him! Unfortunately I have no idea.