High speed milling and turning/turn broaching/turning and turn broaching

This application claims the priority of German Application No. 19749939.2, filed Nov. 11, 1997, the disclosure of which is expressly incorporated by reference herein. A method and apparatus for machining workpieces with rotationally symmetrical surfaces, for example crankshafts, by which the setting and idle times are minimised, transposition of the workpiece to another machine is avoided, and both large batch sizes and also small numbers of items are economically machined. Machining of the workpiece is effected both by a method in which the machining speed is produced primarily by the rotation of the workpiece, and also by a method in which the machining speed is achieved primarily by the rotation of the tool.