This Book is in Good Condition. Clean Copy With Light Amount of Wear. 100% Guaranteed. Summary: 1. Introduction; 2. Differential geometry; 3. Matrix geometry; 4. Non-commutative geometry; 5. Vector bundles; 6. Cyclic homology; 7. Modifications of space-time; 8. Extensions of space-time. Buchnummer des Verkäufers
Inhaltsangabe: A significant amount of the differential structure of a smooth manifold can be encoded in the algebra of smooth functions defined on it. A noncommutative geometry is what one obtains when one replaces this algebra by a noncommutative associative algebra. Of particular interest is the case when the algebra is of finite dimension, for example an algebra of matrices. The resulting geometry is rather trivial from the point of view of analysis and can serve as a simple introduction to some of the more elementary aspects of the noncommutative geometries which one can obtain by considering more general infinite-dimensional algebras. It also has certain specific additional properties which makes it well suited to the construction of finite models of space-time. A more or less complete survey of this geometry is given as well as some possible applications to elementary particle physics and field theory. This book arose from the 1994 LMS invited lectures and will be essential to mathematicians and theoretical physicists with an interest in noncommutative geometry.
Inhaltsangabe: An introduction to some of the more elementary aspects of non-commutative geometry, with special emphasis on those cases where the structure algebra, which defines the geometry, is an algebra of matrices over the complex numbers. Also included are applications to elementary particle physics. The material is pitched at graduate students, and only some familiarity with ordinary differential geometry and the theory of fibre bundles is assumed. All who wish to know more about this fascinating area of research will find that this book provides an excellent introduction.
Buchbeschreibung Cambridge University Press. Buchzustand: Good. Ex-library, so some stamps and wear, but in good overall condition. Buchnummer des Verkäufers Z1-Q-009-01617
Buchbeschreibung Cambridge University Press, 1995. Buchzustand: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Buchnummer des Verkäufers 5854921
Buchbeschreibung Cambridge University Press, 1995. Buchzustand: Good. First edition.. N/A. Ships from the UK. Former Library book. Shows some signs of wear, and may have some markings on the inside. Buchnummer des Verkäufers GRP92594632
Buchbeschreibung Cambridge University Press, 1995. Paperback. Buchzustand: Good. Good condition, some are ex-library and can have markings. Buchnummer des Verkäufers GD-262-81-7497507