Real Analysis: Measure Theory, Integration, and Hilbert Spaces
– by Elias M. Stein and Rami Shakarchi
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Real Analysis and Measure Theory (not to be confused with Analysis in R^n): Stein and Shakarchi’s Measure Theory, Integration, and Hilbert Spaces over Royden’s Real Analysis and Rudin’s Real and Complex Analysis. Again, I prefer the one that engages with heuristics and intuitions rather than just proofs. – Posted by orthonormal at http://lesswrong.com/lw/3gu/the_best_textbooks_on_every_subject/ – by Books2Learn – 2018-02-27