Unfortunately Jamie's book is a little dated. I personally haven't read it, but do know that it contains a lot about the 1.2 version.
One other book to consider is the RHE book. by Roberts, Heller and Ernest. It is currently reissued. However, I read the previous version and found it very helpful.
I have also read Max's book and found it very informative too, plus you learn a lot about the Java SDK 1.4 improvements. I do feel that his book is better for the current Beta exam and less for the 1.3 version currently in production. I think for the 1.3 version, the solutions that Max's book hints towards adds a little more complexity than is needed. But I still highly recommend Max's book.
Mark