Strang and Nguyen's text, _Wavelets and Filter Banks_, is by far the best introduction to wavelets that I have seen. The explanations of difficult topics are informal and very approachable, yet rigor is not sacrificed in the process. In addition to doing an excellent job of covering the basics, the text provides very useful reviews of recent results on a number of more special-purpose topics, including boundary filters and lifting. One of the nicest things about the text is that it achieves a balance between the language of engineers and the language of mathematicians, and it presents material in a manner that is accessible to people with a wide range of backgrounds. My current graduate seminar on wavelets is attended by graduate students, some advanced undergraduates, and several professors. The members of the class come from the math department, the computer science department, the engineering school, and the business school. All seem to have found the book useful. I have been extremely pleased with the book overall and give it an enthusiastic endorsement! Geoff Davis