TY - BOOK AU - Gracia-Bondia, Jose M. AU - Varilly, Joseph C. AU - Figueroa, Hector TI - Elements of noncommutative geometry SN - 9780817641245 U1 - 516.35 PY - 2001/// CY - Boston PB - Birkhauser KW - Noncommutative rings KW - Global differential geometry KW - Mathematics N1 - I. Topology 1. Noncommutative Topology: Spaces 2. Noncommutative Topology: Vector Bundles 3. Some Aspects of K-theory 4. Fredholm Operators on C-modules II. Calculus and Linear Algebra 5. Finite-dimensional Clifford Algebras and Spinors 6. The Spin Representation 7. The Noncommutative Integral 8. Noncommutative Differential Calculi III. Geometry 9. Commutative Geometries 10. Spectral Triples 11. Connes' Spin Manifold Theorem IV. Trends 12. Tori 13. Quantum Theory 14. Kreimer-Connes-Moscovici Algebras ER -