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.First full treatment of the subject and its applications Written by the pioneer of this field Broad applications in mathematics Of interest across most fields Ideal as an introduction and survey Examples treated include:the space of Penrose tilingsthe space of leaves of a foliationthe space of irreducible unitary representations of a discrete groupthe phase space in quantum mechanicsthe Brillouin zone in the quantum Hall effect A model of space time Additional ISBNs0080571751, 6613611719, 128058193X, 9780080571751, 9786613611710, 9781280581939Read More Noncommutative Geometry is written by Alain Connes and published by Academic Press. ISBNs for Noncommutative Geometry are 9780080571751 and the print ISBNs are 9780121858605, 012185860X. Additional ISBNs include 0080571751, 6613611719, 128058193X, 9780080571751, 9786613611710, 9781280581939.