Solution:Peter Brook, a renowned theatre director and writer, authored several influential books on theatre. "The Empty Space" is one of his most famous works, discussing four types of theatre: Deadly, Holy, Rough, and Immediate. "The Shifting Point" is another significant book by Brook, reflecting on his experiences and thoughts on theatre.
"The Aesthetics of the Oppressed," "The Rainbow of Desire," and "Legislative Theatre" were written by Augusto Boal, another influential figure in theatre, but not by Peter Brook. Therefore, the correct books authored by Peter Brook are "The Empty Space" and "The Shifting Point."