M. Khalkhali, M. Marcolli. An Invitation to Noncommutative Geometry

This is the first existing volume that collects lectures on this important and fast developing subject in mathematics. The lectures are given by leading experts in the field and the range of topics is kept as broad as possible by including both the algebraic and the differential aspects of noncommutative geometry as well as recent applications to theoretical physics and number theory. The courses are addressed to graduate students and postdocs in both mathematics and physics. For this reason, the lectures provide di erent 'points of access' to the field that are natural starting points for people with a
background in physics, or in algebra and algebraic geometry, or in di fferential and Riemannian geometry.