This is the options screen, displayed after you pass the splash screen.
From here, you can configure various options by tapping on the various buttons available to you. When you have selected all of the options for the game you wish to play, tap the big Play button at the bottom-center of the screen. You can also tap the Information icon at the bottom-left of the screen to bring up an About message, displaying the version of the game you are playing and a link to the game's support site.
This options screen shows a one-player game selected. From here, you can choose the color scheme you want the board and players to be presented in (wood tiles, blue tiles, or red tiles) and the difficulty level of the computer player (easy, medium, or hard).