Topics in Non-Commutative Geometry

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There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over the space corresponds to a projective module over this algebra; cohomology can be read off the de Rham complex; and so on. In this book Yuri Manin addresses a variety of instances in which the application

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"[This reviewer] like[s] the book a lot. First, because of the excellent mathematics it contains. But second, because of the truly enlightening way this mathematics gets conveyed to the reader."--Bulletin of the American Mathematical Society