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.