Título: An Introduction to Wavelets Through Linear Algebra
Autor(s): Michael Frazier
Editor: Springer-Verlag New York Inc.
Año de publicación: 2001
Estado: Segunda mano - Bueno
ISBN : 9780387986395
Comentario: Libro procedente de una biblioteca.. Edición 1999. Ammareal le reembolsa hasta un 15 % del precio neto de este libro a las organizaciones sin.
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Descripción Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This text was originally written for a 'Capstone' course at Michigan State University. A Capstone course is intended for undergraduate mathematics majors, as one of the final courses taken in their undergraduate curriculum. Its purpose is to bring together different topics covered in the undergraduate curriculum and introduce students to current developments in mathematics and their applications. Basic wavelet theory seems to be a perfect topic for such a course. As a subject, it dates back only to 1985. Since then there has been an explosion of wavelet research, both pure and applied. Wavelet theory is on the boundary between mathematics and engineering. In particular it is a good topic for demonstrating to students that mathematics research is thriving in the modern day: Students can see non-trivial mathematics ideas leading to natural and important applications, such as video compression and the numerical solution of differential equations. The only prerequisites assumed are a basic linear algebra background and a bit of analysis background. This text is intended to be as elementary an introduction to wavelet theory as possible. It is not intended as a thoroughor authoritative reference on wavelet theory. 524 pp. Englisch. Nº de ref. del artículo: 9780387986395
Descripción Dura. Condición: New. Estado de la sobrecubierta: Nuevo. No Aplica Ilustrador. 0. The mathematical theory of wavelets is less than 15 years old, yet already wavelets have become a fundamental tool in many areas of applied mathematics and engineering. This introduction to wavelets assumes a basic background in linear algebra (reviewed in Chapter 1) and real analysis at the undergraduate level. Fourier and wavelet analyses are first presented in the finite-dimensional context, using only linear algebra. Then Fourier series are introduced in order to develop wavelets in the infinite-dimensional, but discrete context. Finally, the text discusses Fourier transform and wavelet theoru on the real line. The computation of the wavelet transform via filter banks is emphasized, and applications to signal compression and numerical differential equations are given. This text is ideal for a topic course for mathematics majors, because it exhibits an emerging mathematical theory with many applications. It also allows engineering students without graduate mathematics prerequisites to gain a practical knoledge of wavelets. 860 gr. Libro. Nº de ref. del artículo: 9780387986395LEA19664