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The book under review is a very complete survey about the spectral properties of the Dirac operator on a Spin manifold. Intended for non-specialists of spin geometry, it is accessible for masters students and devotes its first section to the basic facts of spin geometry. All throughout the book, classical and recent results are given with complete proofs and an exhaustive bibliography is provided, so that this work is useful to researchers in spin geometry and as a reference to learn the Dirac operator. ... (MathSciNet)

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