Trolltech has done a pretty good job of maintaining backwards source code compatibility from one release of Qt to the next. Generally each release just adds a host of new features, but the basics remain unchanged.
In the book, most of the material through Chapter 7 is applicable to Qtopia development. There are some differences between Qt and Qt/E, but once you understand the fundamentals of Qt, the Qt/E documentation on Trolltech's website explains the hadful of special techniques that you need for Qt/E.