Complex sentence: This volume has been through many printings and has been reissued twice with revisions: first in 1983 with updates for changes in kitchen practice (especially the food processor) and then in 2003 as a 40th anniversary edition with the history of the book in the introduction.
Split into simpler sentences: This volume has been through many printings and has been reissued twice with revisions. First in 1983 with updates for changes in kitchen practice (especially the food processor), and then in 2003 as a 40th anniversary edition with the history of the book in the introduction.