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Fourier Analysis: An Introduction (Princeton Lectures in Analysis)
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Top Customer Reviews
The course I took was actually a brand-new course created at the undergraduate level, and was structured around the book, which had also just come out at the time. I can say with confidence that the course was a success, which is pretty unusual for something hot off the press (true, the book itself was based on lectures, but every university has its quirks...).
The author Stein is a leader in his field and has provided plenty of depth and breadth. This also means that he is on a different level and an argument that he calls "simple" has quite often taken me two pages to justify. However, if you put in the effort it will pay off tenfold.
In my case the search was for easy and accessible treatement of the theory of distributions in general and its applications to the wave equation in particular.
There are a number of references that treat this subject matter but all the ones I know of do this from a more advanced point of view. Stein and Shakarchi's book stems from an undergraduate lecture sequence thought at Princeton and the level of the text is indeed appropriate for the bright undergraduate who may or may not major in mathematics later on.
This is unlike PDE books by Taylor, or lecture notes by Melrose, or even the tiny booklet by Friedlander and Joshi that introduce distributions and their application to PDEs (like the wave equation) and certainly unlike Hörmanders comprehensive 4-volume treatment of the whole subject matter. All these references shoot significantly higher in terms of technical sophistication and I'd certainly not recommend them to typical engineering students for self-study. As possible exception I might mention Shubin's PDE books and encyclopedia contributions but they are more terse than the book under review and give less ground to more introductory matters.
Not so the book under review.Read more ›
Most Recent Customer Reviews
Even though it's targeting math students, EE students would find it helpful as well.Published 23 months ago by YOU ZHOU
I still have not read anything after chapter two, but the book look nice so far. It has a somewhat different approach by trying to avoid measure theory and still making a few... Read morePublished on February 14, 2010 by Fabricio Benevides
I taught an advanced undergraduate/beginning graduate class on Fourier transforms using this book as the text and wasn't thrilled. The selection of material seems uneven to me. Read morePublished on December 10, 2005 by Glitzer