No comments about An Introduction to Nonharmonic Fourier Series.

No comments about The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet (Mathematics and Its Applications).

No comments about Analyse Harmonique: Fonctions Speciales et Distributions Invariantes (Progress in Mathematics).

No comments about Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory (Proceedings of Symposia in Pure Mathematics).

1 comments about Fourier Analysis and Its Applications (Graduate Texts in Mathematics).

1. I have waited for some professional mathematician to review this book, since I think it is such a good book. This has not happened, so here is my un-professional review:
   I am a retired electrical engineer, and the last three years I have worked on refreshing my old and forgotten school math, and also to going a bit further than during school. When I bought this book I had the following wishes, all of whom it fulfilled brilliantly:
   1. It should be usable for self study.
   2. It should refresh my fourier series and transforms.
   3. It should put these things in context, by presenting physics problems and also by widening the scope to wet the appetite for functional analysis and partial diff eqs.
   4. It should do something for my sorely lacking "mathematical maturity".
   All of these things it did and I just want to add that Mr. Vretblad is an outstanding pedagogue and that the book contains very few typos. (I found two or three in the whole book, none of them important).

No comments about Metrical Theory of Continued Fractions (Mathematics and Its Applications).

3 comments about Fourier Analysis and Its Applications (Wadsworth and Brooks/Cole Mathematics Series).

1. Concepts are not hidden under obscure mathematical notation: they are stated explicitly in plain english and illustrated with examples. I read a couple of other books on this topic (and PDE) without really understanding the subtleties. With this book everything becomes magically clear and obvious -as you read- and don't feel like you need take another course in real analysis to understand this topic. Bonus: you get solutions to exercices.



2. I've been asked to teach a course on Fourier analysis,I knew nothing on the subject so I took about 15 books on this subject and went over all of them. My conclusion was that Folland's book is the best!. He explain the theory yet never forget for a minute the intuitive side of the subject. The book contains almost all the important issues and notions of the subject. If you have a solid background in vector calculus and you know some basic facts about ODE this is a very good book to learn the subject from. Moreover the book give the reader some of the important motivations to the basic ideas of functional analysis such as generating functions distrbutions it gives the connection also between linear algebra and the basic ideas that lies at the foundations for understanding normed function spaces and more. Moreover the book draw the line , in a very elegant way, between functional analysis PDE and Fourier analysis. Main subjects are:Fourier series,orthogonal sets Fourier and Laplace transforms,convolution, generating functions,Green functions, and more. Very recommended!.



3. Thank God for this book. Folland is the grand-master of my life. I'm a grad student in applied math, studying for qualifying exams, and this book has been extremely helpful to me because it is perfectly rigorous and also crystal clear. When I say Folland is The One, I am referring to The Matrix. This book is that good. His treatment of distributions (otherwise known as "generalized functions") is especially nice.

No comments about Harmonic Analysis on Finite Groups: Representation Theory, Gelfand Pairs and Markov Chains (Cambridge Studies in Advanced Mathematics).

1 comments about Introduction to Fourier Analysis.

1. Throughout my graduate career, I searched desperately for a book that covered Fourier Analysis in a manner that would be lucid to a novice. Of all the books that I've seen dealing with the subject, I rank Morrison's as the best in this category.

   Most books dealing with Fourier Analysis appear to be written for someone with a degree in mathematics. Although I would say that this book is an excellent introduction to Fourier analysis and the Fourier transform, the reader must possess a strong working knowledge of calculus at the least.

   The book is presented in the classic textbook format, where each section is introduced and explained with examples, then a series of problems are presented to reinforce the concepts presented.

   The first half of the book covers continuous Fourier analysis, and the second half of the book covers discreet Fourier analysis. Some may argue that these two concepts could have been introduced simultaneously, however I found this dichomtomy to be an effective way of presenting the material. The book is geared towards undergraduate students of electrical engineering, but I think that it is appropriate for anyone wishing to learn Fourier analysis. The book is replete with exercises to be completed with the accompanying diskettes (both Mac and PC are included), but I never used them.

   This book is the best I've seen dealing with the subject, but I did have to proceed very slowly. I did not understand all of the concepts presented, perhaps because of my limited mathematics background (as high as calculus). For this reason, I rate the book a seven.

2 comments about Numerical Analysis of Wavelet Methods (Studies in Mathematics and its Applications) (Studies in Mathematics and its Applications).

1. Themes from math, science and engineering that predate the more recent trends in wavelts are signal processing, atomic decomposions of Calderon, splines, and finite element techniques of numerical analysis. All of these earlier ideas have enriched math, given new life and power to applied wavelet technology. While signal processing, filter banks, and pyramid algorithms have formed the under-current of a number of recent books on the interface of wavelets and some the neighboring fields, including applications, the interaction with numerical analysis hasn't really been presented in a systematic fashion in book form; so that students, and the rest of us, can pick and learn the fundamentals from scratch;-- not before this lovely new book by Albert Cohen: You find the methods and tools needed in the discretization of problems from PDE and from analysis. I hope the publisher will promote the book. It deserves it. Give it a try! I believe you will not be disappointed. Albert Cohen shows how wavelet tools have enriched numerical analysis and vice versa.



2. When I saw the title of this book my expectation was to see examples of using Wavelets. The title uses the word 'Numerical'. It really should read 'Theoretical'. For those seeking applications of Wavelets, I do not recommend this book.