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Synopsis
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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Review
The articles cover a vast range of topics from differential geometry and integrable systems to gravity and quantum mechanics....This volume is a fitting tribute to [Penrose's] endeavours over the past forty years (THES 25/09/98)
It will be of great interest to active researchers in mathematical physics. (Aslib Book Guide)
'The main value of the book is the up-to-date way in which it illustrates the present state of the twistor proramme'The mathematical Gazette
'It is always enjoyable to read him,lucid,precise and tinged with enthusiasm, both for what has been done and for those questions whose answers still elude us' General Relativity and Gravitation
About the Author
Mathematical Institute, 24-29 St Giles', OXFORD, OX1 3LB. Tel: +44 1865 273525; fax: +44 1865 273583
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- PublisherOUP Oxford
- Publication date1998
- ISBN 10 0198500599
- ISBN 13 9780198500599
- BindingHardcover
- LanguageEnglish
- Number of pages450
- EditorHuggett S. A., Mason Lionel J., Tod K. P., Tsou Sheung, Woodhouse N. M. J.
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THE GEOMETRIC UNIVERSE. SCIENCE, GEOMETRY, AND THE WORK OF ROGER PENROSE
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