I only play with the Direct X 9/10 - havent tried the other option(s), so this question may only apply there.
When I run Civ-5, the game takes over my desktop. It can never be 'minimized' to the task bar. The full screen window is always in the background. I can alt-tab to "Desktop", but as soon as I switch to another application (for example, a minimized chrome instance) my background is immediately replaced by the game.
Is there a way to have my Civ game running without it taking over my entire desktop?