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Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics.

The KK-theory of Kasparov is now approximately twelve years old; Nonethe less, it remains a forbiddingly difficult topic with which to work and learn. Finally, the subject itself has come to consist of a number of difficult segments, each of which demands prolonged and intensive study.