This book provides an excellent introduction to the more elementary aspects of non-commutative geometry.
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' ... an expositionary textbook ... It gives a flavour of some current attempts to understand the nature of space-time and to unify all physical forces into a single geometric principle.' David B. Fairlie, Bulletin of the London Mathematical Society
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.
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Condición: Good. Paperback, illustrated with numerous equations and diagrams, 8vo. London Mathematical Society Lecture Note Series, 206.; Swpine slightly worn, name in pen on title page. Nº de ref. del artículo: 342693-ZA28
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Librería: Buchpark, Trebbin, Alemania
Condición: Gut. Zustand: Gut | Seiten: 206 | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 2233941/203
Cantidad disponible: 2 disponibles