I'm looking to have my main view shrink to reveal the next view in the same way the Facebook app's views shrink when you press the top-left button. I already have it working with one of the included animations like this:

[UIView beginAnimations:nil context:nil];
[UIView setAnimationCurve:UIViewAnimationCurveEaseInOut];
[UIView setAnimationDuration:1.0];
[UIView setAnimationTransition:UIViewAnimationTransitionFlipFromLeft forView:self.navigationController.view cache:NO];
[self.navigationController popToRootViewControllerAnimated:YES];
[UIView commitAnimations];

I'm fairly well-experienced with the iPhone SDK but haven't spent a lot of time with UIView animations.