In Windows 7, it's possible to do various resize operations by dragging windows: drag window to top of screen, and it'll be enlarged to fill the whole screen. Drag it to the left edge and it'll cover the left side (50%), same for right edge. Also, bonus points: resizing window to top of screen keeps width but changes height to cover screen from top to bottom. In addition to those, keyboard shortcuts with Win are available.
As far as I understand, OS X does not support this. Is there third-party software for Maverics (10.9) with similar feature set? I don't mind paying a bit for it (say, less than 20€ ($27)).