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Title: excellent
Review: I took many semesters of analysis in college as a math major, and I think I learned more useful knowledge from this book than from all those classes. Of course the classes helped prepare me to absorb what's in the book, but still it seems to me that the book strikes a good balance between generality and comprehensibility. Many of the books I used in school were too focussed on proving the most general version of every theorem, and failed to provide motivation or useful experience with the objects which the theorems actually describe. By taking fourier series as the motivating idea, the authors capture the historical spirit of the subject as well as that aspect of it which students are most likely to use in real work.
