A method for producing a semiconductor wafer includes a number of steps in order including a bilateral material-removing process followed by rounding off an edge of the wafer and grinding front and back sides of the wafer by holding one side and grinding the other. The front and back arc then polished with a polishing cloth including bound abrasives and subsequently treated with an etching medium to carry out a material removal of no more than 1 μm on each side. The front side is then polished using a polishing cloth including bound abrasives and the back side is simultaneously polished using a polishing cloth free of abrasives while a polish with abrasives is provided. The edge is then polished followed by polishing the back with a polishing cloth including bound abrasives and simultaneously polishing the front with a cloth free of abrasives while a polish including abrasives is provided.