O’Reilly has just released a free book on the Starling Framework written by Thibault Imbert. This is essentially an updated and enhanced version of the getting started PDF that he wrote around the time of the release. Here is the abstract:
Starling is an ActionScript 3 2D framework developed on top of the Stage3D APIs (available on desktop in Flash Player 11 and Adobe AIR 3). Starling is mainly designed for game development, but could be used for many other use cases. Starling makes it possible to write fast GPU accelerated applications without having to touch the low-level Stage3D APIs.
Most Flash developers want to be able to leverage GPU acceleration (through Stage3D) without the need to write such higher-level frameworks and dig into the low-level Stage3D APIs. Starling is completely designed after the Flash Player APIs and abstracts the complexity of Stage3D (Molehill) and allows easy and intuitive programming for everyone.
Thanks to Thibault for creating a great beginner resource for Starling. You can also check out Lee Brimelow's video tutorial on Starling at gotoAndLearn.