My Android device screen got broken and I can't see what I'm doing. That's the only wrong thing with my device, the rest is apparently working OK. Is there any way to send my device screen to my computer?
I don't want to work blindly anymore!
You don't have to continue working blindly, you can use Droid@Screen: it shows the screen of a real or emulated Android device on a computer running Windows, Mac OS or Linux.
Droid@Screen is a stand-alone Java Swing GUI application that shows the screen of an Android device on a computer. Its author says that its typical usage is showing an app demo or during training, but it also fits your case.
In order to use it, you need the following to be installed in your computer:
Note: USB Debugging must be enabled on your device. (Thanks @JasonC for the heads up)
I have been using it with my Galaxy Nexus and I must say that despite a little lag between what happens in the phone and what is displayed in the computer screen (2-4 s), it does what it says. You don't even need to be rooted for that!
You can download it from the author's site, where you also can watch a complete video and text instructions about its installation and usage.
If your device has an HDMIport, you can connect that to a display with HDMI port. There are programs, like Droid@Screen, as Dan said, that can cast the device's video output to a PC over the USB connection.