Alain Connes

Noncommutative geometry - London: Academic Press, [c1994] - 661 p

I. Noncommutative Spaces and Measure Theory
II. Topology and K-Theory
III. Cyclic Cohomology and Differential Geometry
IV. Quantized Calculus
V. Operator Algebras
VI. The Metric Aspect of Noncommutative Geometry

This English version of the path-breaking French book on this subject gives the definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics developed by Alain Connes. Profusely illustrated and invitingly written, this book is ideal for anyone who wants to know what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics, quantization, and elementary particles and fields. --- summary provided by publisher

9780121858605


Mathematics

QA564