This collection has been inspired by the work of Roger Penrose. It gives an overview of current work on the interaction between geometry and physics, from which many important developments in research have emerged. This volume collects together the contributions of many important researchers, including Sir Roger himself, and gives an overview of the many applications of geometrical ideas and techniques across mathematics and the physical sciences. From the area of pure mathematics papers are included on the topics of classical differential geometry and non-commutative geometry, knot invariants, and the applications of gauge theory. Contributions from applied mathematics cover the topics of integrable systems and general relativity. Current research in experimental and theoretical physics inspired chapters on string theory, quantum gravity, the foundations of quantum mechanics, quasi-crystals and astrophysics. The collection also includes articles on quantum computation, quantum cryptography and the possible role of micro-tubules in a theory of consciousness.
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Editorial Reviews
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"Internationally renowned theoretical physicist Penrose invented twistor theory, a radical new approach to space-time where geometric points no longer enter the theory as primitives. More recently, he has stirred controversy with two books that invoke modern physics to plumb the nature of human consciousness. This festschrift honoring Penrose on his 65th birthday contains survey articles by some of the most eminent mathematicians (Atiyah, Donaldson, Connes, et al.) and physicists (Hawking, Astekar, Veneziano, among others) of our time. Besides browsing the most formidable contributions, undergraduates may particularly benefit from Artur Ekert's introduction to quantum cryptography, Paul Steinhardt's new approach to Penrose tilings, and particularly, biologist Stuart Hameroff's defense of Penrose's theories of consciousness from the charge of merely constituting a 'minimization of mysteries.' Highly recommended. Undergraduates through faculty."--Choice
"This book grew out of a symposium ... honoring Roger Penrose (b. 1931) at the age of 65. Even at an early age, it was noted about Penrose that he 'thinks geometrically.' His geometrical thinking led him, in 1974, to a solution of a problem that had eluded Johannes Kepler and Albrecht D�rer, that is, how to cover a surface with motifs of pentagonal symmetry without gaps and overlaps, the Penrose tiling. ... In this volume, Paul Steinhardt ... revisits the Penrose tiling and quasicrystals, reports recent results in modeling, and points out the still unresolved problems. ... The Penrose tiling was an inadvertent discovery, a result of almost idle doodling. The main areas of Penrose's research include time-space, quantum theory, and the workings of the mind ... [and m]ost of the 32 contributions in this book, including Penrose's own Afterword, concern Penrose's main activities. The book is introduced by a brief and charming Laudatio by John A. Wheeler."--The Chemical Intelligencer
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Mathematical Institute, 24-29 St Giles', OXFORD, OX1 3LB. Tel: +44 1865 273525; fax: +44 1865 273583
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7 of 10 people found the following review helpful:
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A fantastic book for those who can understand it.,
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This review is from: The Geometric Universe: Science, Geometry, and the Work of Roger Penrose (Hardcover)
A great book, about some of the coolest and most cutting edge theories out there. Certainly not for the layman though. Most of the chapters are filled with equation after equation however those with advanced math and a good math program will have lots of fun. This book is the real deal! Read it all and you just might fry your brain! It would get five stars if it was better organized. The best use of this book is for quick reference if you have a specific idea or question about the topics contained and don't or can't get to the internet. Not a must buy but worth the money.
7 of 25 people found the following review helpful:
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makes a good mousepad,
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This review is from: The Geometric Universe: Science, Geometry, and the Work of Roger Penrose (Hardcover)
This book makes the greatest mousepad I've ever had. Good book.
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Inside This Book
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First Sentence:
Roger Penrose and I were research students together in Cambridge from 1952 to 1955. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
conformal field equations, conformal geodesics, future black hole horizons, decaying neutrino theory, real integral geometry, twistor diagrams, hypercomplex manifold, twistor surfaces, skinny rhombi, fundamental monopoles, holomorphic cohomology, flag domains, projective twistor space, asymptotic simplicity, quantized calculus, ionising flux, spectral triple, quantum state reduction, acceleration horizons, instanton equation, null infinity, spin networks, protective observation, twistor spaces, recoupling theory Key Phrases - Capitalized Phrases (CAPs): (learn more)
Roger Penrose, New York, Cambridge University Press, Oxford University Press, Clarendon Press, Princeton University Press, Penrose Obstruction, World Scientific, Physical Review Letters, London Ser, Royal Society, Science of Consciousness, Stephen Hawking, Academic Press, Annual Symposium, Computer Society, Euclidean Green, Foundations of Computer Science, Los Alamitos, Nuclear Physics, Parallel Session, Phys Lett, University of Oxford, Annals of Math, Extended Abstract New!
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Front Cover | Front Flap | Table of Contents | First Pages | Back Flap | Back Cover | Surprise Me!
Roger Penrose and I were research students together in Cambridge from 1952 to 1955. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
conformal field equations, conformal geodesics, future black hole horizons, decaying neutrino theory, real integral geometry, twistor diagrams, hypercomplex manifold, twistor surfaces, skinny rhombi, fundamental monopoles, holomorphic cohomology, flag domains, projective twistor space, asymptotic simplicity, quantized calculus, ionising flux, spectral triple, quantum state reduction, acceleration horizons, instanton equation, null infinity, spin networks, protective observation, twistor spaces, recoupling theory Key Phrases - Capitalized Phrases (CAPs): (learn more)
Roger Penrose, New York, Cambridge University Press, Oxford University Press, Clarendon Press, Princeton University Press, Penrose Obstruction, World Scientific, Physical Review Letters, London Ser, Royal Society, Science of Consciousness, Stephen Hawking, Academic Press, Annual Symposium, Computer Society, Euclidean Green, Foundations of Computer Science, Los Alamitos, Nuclear Physics, Parallel Session, Phys Lett, University of Oxford, Annals of Math, Extended Abstract New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Back Flap | Back Cover | Surprise Me!
Citations (learn more)
This book cites 35
books:
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6
books
cite this book:
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- Spinors and Space-Time: Volume 1, Two-Spinor Calculus and Relativistic Fields (Cambridge Monographs on Mathematical Physics) by Roger Penrose on page 276, page 346, and page 419
- Noncommutative Geometry by Alain Connes on page 68, and page 69
- Nuclear Physics by Jones on page 289, and page 301
- Loop Groups (Oxford Mathematical Monographs) by Andrew Pressley on page 245, and page 253
- Quantum Theory and Beyond: Essays and Discussions Arising from a Colloquium by Ted Bastin on page 193, and page 253
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- Physics Meets Philosophy at the Planck Scale: Contemporary Theories in Quantum Gravity by Craig Callender on page 338, Back Matter (1), and Back Matter (2)
- Physics Meets Philosophy at the Planck Scale: Contemporary Theories in Quantum Gravity by Craig Callender on page 338, Back Matter (1), and Back Matter (2)
- Further Advances in Twistor Theory, Volume III: Curved Twistor Spaces by L.J. Mason on page 7, and page 255
- God's Equation: Einstein,Relativity,and the Expanding Universe by Amir D. Aczel on page 163
- Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought by Mr. Tony Robbin in Back Matter
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