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An Introduction to Noncommutative Differential Geometry and its Physical Applications

An Introduction to Noncommutative Differential Geometry and its Physical Applications

An Introduction to Noncommutative Differential Geometry and its Physical Applications

2nd Edition
J. Madore
June 1999
Paperback
9780521659918
£61.99
GBP
Paperback
USD
eBook

    This is an introduction to 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. 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 fibre bundles is assumed, making this book accessible to graduate students and newcomers to this field.

    • Mega author and great topic
    • Book is from LMS invited lectures
    • First edition has sold more than 1200 copies since publication in November 1995

    Reviews & endorsements

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

    See more reviews

    Product details

    June 1999
    Paperback
    9780521659918
    380 pages
    228 × 153 × 23 mm
    0.544kg
    Available

    Table of Contents

    • 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.