Lectures on the Geometry of Quantization High quality books
Lectures on the Geometry of Quantization
By:Sean Bates,Alan Weinstein
Published on 1997 by American Mathematical Soc.

These notes are based on a course entitled ``Symplectic Geometry and Geometric Quantization'' taught by Alan Weinstein at the University of California, Berkeley (fall 1992) and at the Centre Emile Borel (spring 1994). The only prerequisite for the course needed is a knowledge of the basic notions from the theory of differentiable manifolds (differential forms, vector fields, transversality, etc.). The aim is to give students an introduction to the ideas of microlocal analysis and the related symplectic geometry, with an emphasis on the role these ideas play in formalizing the transition between the mathematics of classical dynamics (hamiltonian flows on symplectic manifolds) and quantum mechanics (unitary flows on Hilbert spaces). These notes are meant to function as a guide to the literature. The authors refer to other sources for many details that are omitted and can be bypassed on a first reading.
This Book was ranked at 27 by Google Books for keyword Geometry.
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Book which was published by American Mathematical Soc. since 1997 have ISBNs, ISBN 13 Code is 9780821807989 and ISBN 10 Code is 0821807986
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