This volume contains a series of lectures delivered in 1994 by Hawking (A Brief History of Time) and Penrose (The Emperor's New Mind), renowned professors at Cambridge and Oxford, respectively. The overall topic is how mathematical physics might best represent the realities of the universe. The lectures assume a rather sophisticated knowledge of physics and mathematics. The authors present alternative views on approaching a formulation that fully accommodates both quantum and gravitational (general relativity) theories in physics. One question, for example, is whether parameters in a quantum description of matter can have definite ("real") values before they are measured. The issues extend to cosmological implications and have intriguing philosophical as well as technical aspects. Although well done, the treatment in this book is not for the general reader.

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