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Description: Geroch's lecture notes contain original ideas of geometrical quantum mechanics which he was already teaching in 1974, four years before the work of Kibble which is generally regarded as originating the research in this field. The necessary geometrical ideas are presented in the first part of the book, Differential Geometry, and are applied to Mechanics, and Quantum Mechanics in the second and third part. What also makes this book a valuable contribution to the existing textbooks on quantum physics is Geroch's unique approach to teaching theoretical and mathematical physics - the physical concepts and the mathematics, which describes them, are masterfully intertwined in such a way that both reinforce each other to facilitate the understanding even of the most abstract and subtle issues.
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