Noncommutative Geometry

This English version of the pathbreaking French book on this subject gives thedefinitive treatment of the revolutionary approach to measure theory geometryand m... » 

This English version of the pathbreaking French book on this subject gives thedefinitive treatment of the revolutionary approach to measure theory geometryand mathematical physics developed by Alain Connes. Profusely illustrated andinvitingly written this book is ideal for anyone who wants to know whatnoncommutative geometry is what it can do or how it can be used in variousareas of mathematics quantization and elementary particles and fields.Key Features First full treatment of the subject and its applications Writtenby the pioneer of this field Broad applications in mathematics Of interestacross most fields Ideal as an introduction and survey Examples treatedinclude subbul the space of Penrose tilings the space of leaves of afoliation the space of irreducible unitary representations of a discretegroup the phase space in quantum mechanics the Brillouin zone in the quantumHall effect A model of space time «