Includes bibliographical references (p. [97]-108) and index
Commutative geometry from the noncommutative point of view -- Spectral triples on the Riemann sphere -- Real spectral striples: the axiomatic foundation -- Geometries on the noncommutative torus -- The noncommutative integral -- Quantization and the tangent groupoid -- Equivalence of geometries -- Action functionals -- Epilogue: New directions
