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Fourier Analysis: An IntroductionBook

by Elias Stein and Rami Shakarchi

Who uses, recommends or left Fourier Analysis: An Introduction, in their own words: each a verbatim quote with a link to where it was said.

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Grant Sanderson
Mathematician and creator of the 3Blue1Brown YouTube channel and the Manim animation library.
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Not only is this a wonderful foundation for Fourier analysis, with a surprising and satisfying application to prime numbers given in the last chapter, but it's also a good starting point for analysis as a whole. Stein and Shakarchi have a series of four excellent books on the foundations of analysis, based on a now-famous series of lectures given at Princeton.

His Book recommendations page, introduced as "a small list of textbooks I've thoroughly enjoyed at some time in the past, with the added condition that each one stands out in some way from the surrounding body of math texts". The cover images link to Amazon through amzn.to short links that resolve to URLs carrying the affiliate tag 3b1b04-20.

2020-06-01·3blue1brown.com ↗

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