From Differential Geometry To Non-commutative Geometry And Topology

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    From Differential Geometry to Non-commutative Geometry and Topology
    By: Neculai S. Teleman
    Publisher:
    Springer
    Print ISBN: 9783030284329, 3030284328
    eText ISBN: 9783030284336, 3030284336
    Copyright year: 2019
    Format: EPUB
    Available from $ 109.00 USD
    SKU 9783030284336
    This book aims to provide a friendly introduction to non-commutative geometry. It studies index theory from a classical differential geometry perspective up to the point where classical differential geometry methods become insufficient. It then presents non-commutative geometry as a natural continuation of classical differential geometry. It thereby aims to provide a natural link between classical differential geometry and non-commutative geometry. The book shows that the index formula is a topological statement, and ends with non-commutative topology.
     

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