You are installing a wrong package from bower. The correct one to install is bower install angular-bootstrap as described here: https://github.com/angular-ui/bootstrap#installation
Edit:
As of February 2015, a Bower version of the library exists at https://github.com/angular-ui/bootstrap-bower.
Unfortunately, it presently only contains AngularUI Bootstrap 0.12.0 which, as far as I can tell, isn’t fully compatible with Angular >= 1.3. It looks like the maintainers intend AngularUI Bootstrap >= 0.13.0 to be compatible with Angular 1.3, <>but that version of the library seems not to have made its way to the Bower-compatible repo yet.
No longer an issue, AngularUI Bootstrap 0.13.0 version is now provided and supported.