Yeah I don't want to look like I am being paid by Kev to say this, but I got his book and it rocks! It's very descriptive, easy to understand and follow. By the last page, anybody who perseveres should understand the basics of php and mysql.
Denis Boudreau <C²/> - Web Standards & Accessibility
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With those three they will easily show you everything you need to know about php. I did but a book. The one mentioned above. Php and Mysql by Sams. I find the examples to be bloated. I found the first 5 chapters (?) to be decent and really good at explaining the basics but I have been disapointed overall by the book
My favorite PHP development documentation is the CHM file available for download at php.net. I also own Professional PHP 4 and a copy of Kevin's Book but I haven't really read either of them all the way through.