Product Description: Spinor and Twistor Methods in Space-Time Geometry introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. Twistors have, in recent years, attracted increasing attention as a mathematical tool and as a means of gaining new insights into the structure of physical laws...read more (view table of contents, read Amazon.com's description)

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Product Description: The proponents of artificial intelligence want to prove that it is only a matter of time before computers will be doing everything that a human mind can do. They take it for granted that pleasure and pain, the appreciation of beauty and humour, consciousness and free will are capacities that a computer will display once the appropriate programs of algorithms have been developed...read more

Presenting a look at the human mind's capacity while criticizing artificial intelligence, the author makes suggestions about classical and quantum physics and the role of microtubules (view table of contents)

Presents a series of lectures delivered in 1994 by Hawking and Penrose, renowned professors at Cambridge and Oxford, respectively, on the general topic of how mathematical physics might best represent the realities of the universe.

Explores vectors, symmetry in physical laws, the special theory of relativity, relativistic energy and momentum, space-time, and curved space

A tale of the near future finds humankind finally beginning to settle on Mars; but soon after a colony is established, civilization on Earth comes to a crashing end, forcing the pioneers to fend for themselves. 10,000 first printing. (view table of contents)

A definitive overview of the physical laws that govern the known universe offers an accessible introduction to the mysteries of cutting-edge science as it describes the physics and mathematics of realtivity, explains the theory of quantum mechanics and the standard model of particle physics, and discusses cosmology, the Big Bang, black holes, string and M theory, and other topics. Reprint.

Roger Penrose's original and provocative ideas about the large-scale physics of the Universe, the small-scale world of quantum physics and the physics of the mind have been the subject of controversy and discussion. These ideas were set forth in his best-selling books The Emperor's New Mind and Shadows of the Mind. In this book, he summarises and brings up to date his current thinking in these complex areas. He presents a masterful summary of those areas of physics in which he feels there are major unsolved problems. Through this, he introduces radically new concepts which he believes will be fruitful in understanding the workings of the brain and the nature of the human mind. These ideas are then challenged by three distinguished experts from different backgrounds - Abner Shimony and Nancy Cartwright as Philosophers of Science and Stephen Hawking as a Theoretical Physicist and Cosmologist. Finally, Roger Penrose responds to their thought-provoking criticisms. This volume provides an accessible, illuminating and stimulating introduction to Roger Penrose's vision of theoretical physics for the 21st Century. His enthusiasm, insight and good humour shine through this brilliant account of the problems of modern physics.