Wavelets : a student guide
Author(s)
Bibliographic Information
Wavelets : a student guide
（Australian Mathematical Society lecture series, 24）
Cambridge University Press, 2017
- pbk.
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
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.
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.
by "Nielsen BookData"
