The volume is based on a course, "Geometric Models for   Noncommutative Algebras" taught by Professor Weinstein at   Berkeley. Noncommutative geometry is the study of noncommutative   algebras as if they were algebras of functions on spaces, for   example, the commutative algebras associated to affine algebraic   varieties, differentiable manifolds, topological spaces, and   measure spaces. In this work, the authors discuss several types   of geometric objects (in the usual sense of sets with structure)   that are closely related to noncommutative algebras.    Central to the discussion are symplectic and Poisson manifolds,   which arise when noncommutative algebras are obtained by   deforming commutative algebras. The authors also give a detailed   study of groupoids (whose role in noncommutative geometry has   been stressed by Connes) as well as of Lie algebroids, the   infinitesimal approximations to differentiable groupoids.    Featured are many interesting examples, applications, and   exercises. The book starts with basic definitions and builds to   (still) open questions. It is suitable for use as a graduate   text. An extensive bibliography and index are included.

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