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WAVELETS. A STUDENT GUIDE
Título:
WAVELETS. A STUDENT GUIDE
Subtítulo:
Autor:
NICKOLAS, P
Editorial:
CAMBRIDGE UNIVERSITY PRESS
Año de edición:
2017
Materia
MATEMATICA APLICADA
ISBN:
978-1-107-61251-8
Páginas:
274
56,50 €

 

Sinopsis

This text offers an excellent introduction to the mathematical theory of wavelets for senior undergraduate students. Despite the fact that this theory is intrinsically advanced, the author´s elementary approach makes it accessible at the undergraduate level. Beginning with thorough accounts of inner product spaces and Hilbert spaces, the book then shifts its focus to wavelets specifically, starting with the Haar wavelet, broadening to wavelets in general, and culminating in the construction of the Daubechies wavelets. All of this is done using only elementary methods, bypassing the use of the Fourier integral transform. Arguments using the Fourier transform are introduced in the final chapter, and this less elementary approach is used to outline a second and quite different construction of the Daubechies wavelets. The main text of the book is supplemented by more than 200 exercises ranging in difficulty and complexity.

Elementary introduction accessible to undergraduates
Provides 230 exercises to test students´ understanding
Ideal preparation for more advanced texts



Table of Contents

Preface
1. An overview
2. Vector spaces
3. Inner product spaces
4. Hilbert spaces
5. The Haar wavelet
6. Wavelets in general
7. The Daubechies wavelets
8. Wavelets in the Fourier domain
Appendix: notes on sources
References
Index.