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An Introduction to Noncommutative Differential Geometry and its Physical Applications

J. Madore N. J. Hitchin

$62.95

Paperback

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English
Cambridge University Press
23 August 1999
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.

By:  
Series edited by:  
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Edition:   2nd Revised edition
Volume:   257
Dimensions:   Height: 228mm,  Width: 153mm,  Spine: 23mm
Weight:   544g
ISBN:   9780521659918
ISBN 10:   0521659914
Series:   London Mathematical Society Lecture Note Series
Pages:   380
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
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.

Reviews for An Introduction to Noncommutative Differential Geometry and its Physical Applications

'... clearly written authoritative text ...'. A. I. Solomon, Contemporary Physics


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