What is "AA's big book"? And if you've checked the Sony Store, the publisher's site, and Fictionwise, and haven't found it, then the answer is "no".
EDIT: I did find this:
http://www.aa.org/bigbookonline/en_copyrightinfo.cfm
All content seems to be available as HTML and/or PDF, both of which formats can be read with varying degrees of success on the Sony. Your Mileage May Vary.