Customer Reviews

An Introduction to Wavelets, Volume 1 (Wavelet Analysis and Its Applications)

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I have used the book, teaching a beginning course in wavelets, and it went over well with the students: they like that the proofs are clearly spelled out, and that the presentation is systematic. I supplemented it with S Mallat and Y Meyer's books. That was to give the course a more algorithmic slant. However, I feel that there are many valid approaches, and that the subject is infinite in all directions.

This book will appeal to people who like a "pure mathematics" approach to wavelets.
Engineers might prefer to look elsewhere.
Prior experience in measure theory helps but the reader will be able to make use of this if he/she has not been exposed to this. The book is self contained, aimed at advanced undergraduates or beginning graduates and can be used to introduce Fourier analysis as well.

What I like about the book is how easy it is to follow as everything is made explicit. There are a lot of definitions and rigorous proofs here. If the author wrote other texts I would love to see them.

On the other hand this book was published in 1992 which is a long time ago in this new subject.
So you should supplement this book with some more recent publications.

For those who would like to learn the beauty of Wavelet theory, which is a great finding in Mathematics, this book would shed some light on it. Wavelet is elegant, a simple formula leads to so much interests, the application of Wavelet is everywhere, particularly in modern communications and signal processing, and there is still more waiting for people to explore. Enjoy the new journey.