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Makes the intrinsically advanced theory of wavelets accessible to senior undergraduate students with a mathematical background.
List 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.
About the author
Peter Nickolas is an Associate Professor in the School of Mathematics and Applied Statistics at the University of Wollongong, New South Wales. He has nearly 40 years of experience in teaching and research. A large part of his research has been in the theory of topological groups, but he has also made significant contributions to the emerging theory of free paratopological groups, to the study of the geometry of metric spaces and to applications of mathematics and formal logic in computer science.
Summary
The mathematical theory of wavelets is intrinsically advanced. However, the author's elementary approach makes this text an excellent introduction to the subject for senior undergraduate students. The theory is supplemented by more than 200 exercises so students can explore the fundamental ideas and numerous applications of wavelets.
