What is your overall goal with Flash? Even if you get a book on application development with Flash, they tend to cover the basics of Flash. Also it's less boring. Some Flash books are just too basic (you spend drawing circles and squares for the first five chapters). If you already have some background in a graphics program, even an authoring program like Dreamweaver, it will seam somewhat redundant. I think you'd rather learn the basics while learning something else, like XML, which Flash MX does a better job with.
Like Bob, I think ActionScript, the Definitive Guide O'Reilly is a good book. I have it (for version 5) and make good use of it. I've never been too fond of O'Reilly books, except their references.
In my experience, the Friends of Ed books are ok. I have three of their books (ActionScript, ActionScript Studio, and ColdFusion for Flash) which are ok, but the pace might seem a bit slow, for these books anyways... just my 2 cents.
If you want to develop Flash games, these two books rule:
Macromedia Flash MX Game Design Demystified (ISBN: 0201770210)
Flash Games Studio (ISBN: 1903450675)
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a.k.a inscissor
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since Feb 2002