** Recommended Texts:**
The literature for Fourier Analysis and Wavelets is large. Here is a commented
list of texts appropriate for different audiences.

- Good for undergraduates with strong linear algebra background:
*An Introduction to Wavelets Through Linear Algebra*by Michael Frazier Springer Verlag, Feb 1999; ISBN: 0387986391. - More appropriate for graduate students:
*Introduction to Fourier Analysis and Wavelets*by Mark A. Pinsky. The Brooks/Cole Series in Advanced Mathematics, 2002; ISBN 0-534-37660-6 - This book is of encyclopedic nature, excellent for graduate students
in engineering and also in statistics/math:
*A Wavelet Tour of Signal Processing. The sparse way*by**S. Mallat**, Third Edition, Academic Press, 2008; ISBN 978-0123743701

There are many excellent books devoted to the classical theory of
Fourier analysis (starting with * Trigonometric Series * by A. Zygmund
2nd edition, Cambridge University Press, Cambridge 1959,
and following with a long list).

- Appropriate for advanced undergraduate students:
*Fourier Analysis: An Introduction*by E. M. Stein and R. Shakarchi, Princeton lectures in Analysis I, Princeton University Press, 2003; ISBN 0-691-11384-X. - Appropriate for advanced undergraduate students, full of historical
notes and anecdotes:
*Fourier Analysis*by T. Korner. Cambridge University Press, 1989; ISBN 0-521-38991-7 - A bit more advanced:
*Fourier series and integrals*by H. Dym and H.P. McKean. Academic Press, 1986; ISBN: 0122264517 - A bit more advanced:
*An Introduction to Harmonic Analysis*by Y. Katznelson. Dover Publications Inc. New York, NY 1976; ISBN o-486-63331-4

In the last 15-20 years there have been published a number of books on wavelets, as well as countless articles. Here is a limited guide:

- A classic, for graduate students:
*Ten lectures on wavelets*, by Ingrid Daubechies, 1992. - For graduate students:
*A mathematical introduction to wavelets*, by P. Wojtaszczyk, 1997. - For advanced graduate students:
*A first course on wavelets*, by E. Hernandez and G. Weiss, 1996. - For advanced graduate students:
*Wavelets and operators*, by Yves Meyer, 1992.

*Wavelets and Filter Banks*, by G. Strang and T. Nguyen, 1996.*An introduction to wavelets*, by C. K. Chui, 1992.*A friendly guide to wavelets*, by G. Keiser, 1994.

*The world according to wavelets*, by B. Burke Hubbard, 2nd edition, 1998.*Wavelets: Tools for science and technology*, by S. Jaffard, Y. Meyer, R. D. Ryan, 2001.

Return to: Department of Mathematics and Statistics, University of New Mexico

Last updated: August 6, 2019