This is an introduction to noncommutative geometry, with special emphasis on those cases where the structure algebra, which defines the geometry, is an algebra of matrices over the complex numbers. Applications to elementary particle physics are also discussed. This second edition is thoroughly revised and includes new material on reality conditions and linear connections plus examples from Jordanian deformations and quantum Euclidean spaces. Only some familiarity with ordinary differential geometry and the theory of fiber bundles is assumed, making this book accessible to graduate students and newcomers to this field.

An Introduction to Noncommutative Differential Geometry and its Physical Applications (London Mathematical Society Lecture Note Series)

Science & Math

Madore, J.

Mathematics

Cambridge University Press

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.

An Introduction to Noncommutative Differential Geometry and its Physical Applications (London Mathematical Society Lecture Note Series, Series Number 206)

<p>This is an introduction to noncommutative geometry, with special emphasis on those cases where the structure algebra, which defines the geometry, is an algebra of matrices over the complex numbers. Applications to elementary particle physics are also discussed. This second edition is thoroughly revised and includes new material on reality conditions and linear connections plus examples from Jordanian deformations and quantum Euclidean spaces. Only some familiarity with ordinary differential geometry and the theory of fiber bundles is assumed, making this book accessible to graduate students and newcomers to this field.</p>

An Introduction to Noncommutative Differential Geometry and its Physical Applications (London Mathematical Society Lecture Note Series, Series Number 257)

<p>A striking new interpretation, starring an all-animal cast, of Charles Dickens's beloved and timeless story A Christmas Carol.</p>

Children's Books

Science Fiction & Fantasy

See the best price to sell, buy, or rent books by Madore, J.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Madore, J.

See the best price to sell, buy, or rent books by Madore, J.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

An Introduction to Noncommutative Differential Geometry and its Physical Applications (London Mathematical Society Lecture Note Series)

An Introduction to Noncommutative Differential Geometry and its Physical Applications (London Mathematical Society Lecture Note Series, Series Number 206)

An Introduction to Noncommutative Differential Geometry and its Physical Applications (London Mathematical Society Lecture Note Series, Series Number 257)

An Introduction to Noncommutative Differential Geometry and its Physical Applications (London Mathematical Society Lecture Note Series, Series Number 257)