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== Reception ==
The books "received rave reviews indicating they are all outstanding works written with remarkable clarity and care."<ref name=oconnor/> Reviews praised the exposition,<ref name=fefferman/><ref name=duren/><ref name=ziemer/> identified the books as accessible and informative for advanced undergraduates or graduate math students,<ref name=fefferman/><ref name=duren/><ref name=gouvea>{{cite web |first=Fernando Q. |last=Gouvêa|authorlink= Fernando Q. Gouvêa |url=http://www.maa.org/publications/maa-reviews/fourier-analysis-an-introduction |title=Fourier Analysis: An Introduction |publisher=[[Mathematical Association of America]] |date=Apr 1, 2003 |accessdate=Sep 16, 2014}}</ref><ref name=shiu>{{cite news |first=P. |last=Shiu |title=Complex Analysis, by Elias M. Stein and Rami Shakarchi |journal=The Mathematical Gazette |volume=88 |number=512 | date=Jul 2004 |pages=369–70}}</ref> and predicted they would grow in influence as they became standard references for graduate courses.<ref name=fefferman/><ref name=duren/><ref name=schilling>{{cite news |first=René L. |last=Schilling |title=Real Analysis: Measure Theory, Integration and Hilbert Spaces, by Elias M. Stein and Rami Shakarchi |journal=The Mathematical Gazette |volume=91 |number=520 | date=Mar 2007 |page=172}}</ref> William Ziemer wrote that the third book omitted material he expected to see in an introductory graduate text but nonetheless recommended it as a reference.<ref name=ziemer>{{cite news |first=William P. |last=Ziemer |title=Real Analysis: Measure Theory, Integration and Hilbert Spaces. By E. Stein and M. Shakarchi |journal=SIAM Review |volume=48 |number=2 | date=Jun 2006 |pages=435–36}}</ref>
[[Peter Duren]] compared Stein and Shakarchi's attempt at a unified treatment favorably with [[Walter Rudin]]'s textbook ''Real and Complex Analysis'', which Duren calls too terse. On the other hand, Duren noted that this sometimes comes at the expense of topics that reside naturally within only one branch. He mentioned in particular geometric aspects of complex analysis covered in [[Lars Ahlfors]]'s textbook but noted that Stein and Shakarchi also treat some topics Ahlfors skips.<ref name=duren/>
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