Product Description

This book, written at the level of a first course in calculus and linear algebra, offers a lucid and concise explanation of mathematical wavelets. Evolving from ten years of classroom use, its accessible presentation is designed for undergraduates in a variety of disciplines (computer science, engineering, mathematics, mathematical sciences) as well as for practising professionals in these areas.

This unique text starts the first chapter with a description of the key features and applications of wavelets, focusing on Haar's wavelets but using only high school mathematics. The next two chapters introduce one-, two-, and three-dimensional wavelets, with only the occasional use of matrix algebra.

The second part of this book provides the foundations of least squares approximation, the discrete Fourier transform, and Fourier series. The third part explains the Fourier transform and then demonstrates how to apply basic Fourier analysis to designing and analyzing mathematical wavelets.

Product Details

• Amazon Sales Rank: #479121 in Books
• Published on: 2000-11-29
• Original language: English
• Number of items: 1
• Binding: Hardcover
• 298 pages

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

Book Info
Explains the nature and computation of mathematical wavelets that provide a framework and methods for the analysis and the synthesis of signals, images, and other arrays of data. DLC: Wavelets (Mathematics).

Customer Reviews

Realmente Wavelets Hecho Fácil
Para los que recién comienzan a investigar el tema en forma autodidacta es excelente y fácil de comprender.

You need a graduate degree in Mathmatics to read this
Wavelets made easy, the title is sarcastic. It only uses high school algebra or basic trig functions? WRONG! It starts out as advanced text to 2nd year grad students or those working on a PhD, almost every page has unproven formulae, its up to YOU and your team of 10 or so grad students and billions of dollars in lab tools and resources to double check the work they provide.

Professors of Math or those with 20 years of wavelet research may be able to mull thru the book in a few months perhaps. The style of writing is typical of authors who dont want to explain the concept but only pretend to appear smarter than they really are.

too much standard Fourier non-wavelet material
Wavelets have been making a splash in some circles. Here is a chance to acquire a rigorous education in them. Basically, wavelets are a topic in advanced Fourier analysis, as the book makes clear. In fact, of the book's 3 parts, one is a recap of basic Fourier analysis. It is somewhat of a pity that the author included it. The coverage is a synopsis of standard texts on Fourier analysis. Omitting it would have left more space for wavelets.

Along these lines, the last part, on computation and design of wavelets, has one of its three chapters being a standard discussion about Fourier transforms.

Of the book's 9 chapters, only 5 are on wavelets. Too few.