Wavelets Made Easy (Hardcover)

by Yves Nievergelt (Author) "This chapter explains the nature of the simplest wavelets and an algorithm to compute a fast wavelet transform..." (more)
Key Phrases: ground frost depth, smooth periodic extensions, simple wavelets, In-Place Haar Wavelet Transform, Fast Fourier Transform, In-Place Fast Haar Wavelet Transform (more...)

Editorial Reviews

Review
"The book explains in a nice way the nature and computation of mathematical wavelets, which provide a framework and methods for the analysis and synthesis of signals, images, and other arrays of data. A useful text for engineers, financiers, scientists, and students looking for explanation of wavelets." —Journal of Information and Optimization Sciences "Giving practice first and theory later, the author avoids discouraging readers whose main subject is not mathematics. The book is written in a very comprehensible and lively style. The text is essentially self-contained since many of the facts employed from analysis, linear algebra and functional analysis are stated and partially proved in the book." —ZAA --This text refers to the Hardcover edition.

Product Description
The topic of wavelets continues to make an impact in various fields of applied mathematics. This text offers a lucid and concise explanation of mathemeatical wavelets.

Product Details

• Hardcover: 320 pages
• Publisher: Birkhauser Verlag (October 1998)
• Language: English
• ISBN-10: 3764340614
• ISBN-13: 978-3764340612
• Average Customer Review: 3.5 out of 5 stars See all reviews (8 customer reviews)
• Amazon.com Sales Rank: #7,509,757 in Books (See Bestsellers in Books)

Customer Reviews

Most Helpful Customer Reviews

42 of 50 people found the following review helpful:

1.0 out of 5 stars Disappointing! Not at all Wavelets made "easy"., August 17, 1999

By A Customer

This review is from: Wavelets Made Easy (Hardcover)

This book was quite a disappointment. It was not, as titled, Wavelets Made Easy. Despite the author's claims to the contrary, the book was not easy to read, largely due to the strongly professional mathematician's approach with unnecessarily obscure and involved notation. Later in the book the author adopted the mathematical formalism of proposition, proof, and lemma which is out of place in an introductory text aimed at non-mathematicians. Though the book treats a variety of applications of wavelets, little attention is paid to the background for these applications. Again, mathematical formalism takes precedence. Not recommended except perhaps for mathematicians, and for these, better texts are available.

9 of 10 people found the following review helpful:

3.0 out of 5 stars The complex cannot be made easy, but it can be made clear, February 20, 2001

By	Ian Kaplan (Santa Fe, New Mexico) - See all my reviews

This review is from: Wavelets Made Easy (Hardcover)

When I first saw this book, which is heavy on equations, I thought "wow, if this is wavelets made easy, I'd hate to see the hard version". And indeed this book is not light reading. But it is clear and there are plenty of examples. This book is far and away the best book on wavelets that I've found.
Wavelets are a complex topic. It would be unfair to think that you can pick up a book like this an read it like a popular science book. Reading a book like this takes concentration and effort. Implementing wavelet software is even more work, since some of the "in-place" algorithms are difficult. "Wavelets Made Easy" is a great foundation for anyone who wants to apply Haar wavelets for data analysis and filtering.
...

Nievergelt's coverage of Daubechies wavelets is not as
good as his coverage of Haar. He clearly explains the matrix
(linear algebra) view of Daubechies wavelets. The
coverage of edge effect issues is also good. However, as the
chapter proceeds, it fell apart, at least for me. There
appear to be errors in some of the algorithms. For example,
Nievergelt uses an average of the input time series over the
Daubechies wavelet. As far as I can see, this average cannot
be inverted to yield the original time series. Nievergelt's
Daubechies algorithm also does not seem to match algorithms
like the one published in Numerical Recipies.

So in summary, I'd say that this is a book that started out
well in the first few chapters but became less useful as
I worked through it.

4 of 5 people found the following review helpful:

5.0 out of 5 stars Finally, Wavelets are explained !!, February 7, 2005

By	Michael Roper "fearsome coder" (North Little Rock, AR USA) - See all my reviews (REAL NAME)

This review is from: Wavelets Made Easy (Hardcover)

Thank Yves.

I enrolled in an online graduate course for wavelets and could not understand the book and the professor liked to give very few problems with very little help to ensure that he would not have to grade many problems and to ensure that we would not understand the material well. I searched the web and checked out about 10 wavelet book in the library and still I could not get a clue on wavelets in how they actually worked and the mathematics behind them.

But, ... with Yves' book, ... it does still take some mental effort, but his book is readable and the homework assignments are doable without an instructor leading you or mis-leading you as the case may be.

Wavelets applications fascinate me and without Yves book, I still wouldn't have a clue.