Adobe Air can be very finicky when it comes to ajax, as it has quite a lot of security rules to protect your computer from rogue scripts, and that is where this book comes in handy.

Most of the book covers general topics in Adobe Air, giving Air a full treatment, but where this book stands out is detailing how to get ajax working withing the Air environment, bypassing the security restrictions. For example, there is a chapter dealing with a client/server bridge.

Another great feature of this book is that it focuses on using Javascript to build Air applications rather than Flex, which is great for all us Javascript developers.

This book makes a good reference.