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The reference requests for analysis books have become so numerous as to blot out any usefulness they could conceivably have had. So here comes another one. Recently I've began to learn real analys... Download book PDF. Chapters Table of contents (11 chapters) About About this book; Table of contents . Search within book. Front Matter. Pages i-xix. PDF. Introduction. Terence Tao. Pages 1-12. PDF. Starting at the beginning: The natural numbers. Terence Tao. Pages 13-32. PDF. Set theory. Terence Tao. Pages 33-73. PDF. Integers and Rationals. Terence Tao. Pages 74-93. PDF. The real вЂ¦

Two, by Terence Tao, that appeared recently in American Mathematical Society Graduate Studies in Mathematics series are my favorites: 1. An introduction to measure theory, ISBN: 978-08218-5315-3, In volume 1 there are a few typos, and in Volume 2 there are a lot of typos (check Tao's UCLA page for an errata). My main complaint about the book is that Tao defines things his own way (which often differs from Rudin's book and others), so it is a little tough to supplement with other books. Overall though the book is not bad, and worth a look ($30 bucks new is quite reasonable).

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