Fourier Analysis

Rating:
Summary: The best since Fourier's own book
Review: I am a physician though I was a math grad student at MIT for 5 years a long time ago. I found this a wonderful book for reading and working though in spare time. I used to think of Fourier Series as engineering stuff so I was surprized to find Dedekind's theorem on primes in arithmetic progressions and Weyl's on the distribution of integral multiples of an irrational modulo 1. Korner succeeded in giving me an entirely new outlook on harmonic analysis as well as some new perspectives on surprizing, incident areas of math.

In addition, he is a fine writer. I would put him up with Halmos in quality though a very different style.

Rating:
Summary: Disappointment.
Review: I'm an undergraduate student for electrical engineering in Tel Aviv University. I find this book very interesting and fun to read. However, I must say, that it has a serious lack of examples, and there aren't any exercises. In bottom line - it can be an excellent book for professionals, as a student ? it's almost impossible to study from it without the lecture notes.

Rating:
Summary: Excellent!
Review: This book makes great reading. There is a fair amount of (well written) high level mathematics, but also a number of sections of a more historical or narrative nature, and a wonderful sense of humor pervades the work. The account of the laying of the transatlantic cable in the nineteenth century and the technical problems associated with it is priceless. Several sections are devoted to the life of Fourier. There is also a companion volume entitled ``Exercises for Fourier analysis''.

Rating:
Summary: The best since Fourier's own book
Review: Wonderful book! Fourier was a man of immense and multivariate talent. His main mathematical discovery shares this property of him: besides its beauty and depth, its applications arise practically everywhere. The book of Korner is both rigorous and delightful. A very rare combination.