Lectures on Quantum MechanicsThe author of this concise, brilliant series of lectures on mathematical methods in quantum mechanics was one of the shining intellects in the field, winning a Nobel prize in 1933 for his pioneering work in the quantum mechanics of the atom. Beyond that, he developed the transformation theory of quantum mechanics (which made it possible to calculate the statistical distribution of certain variables), was one of the major authors of the quantum theory of radiation, codiscovered the FermiDirac statistics, and predicted the existence of the positron. 
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Contents
The Hamilton Method  1 
The Problem of Quantization  25 
Quantization on Curved Surfaces  44 
Quantization on Flat Surfaces  67 
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References to this book
Hamiltonian Methods in the Theory of Solitons Ludwig Faddeev,Leon Takhtajan No preview available  2007 
Manifolds, Tensor Analysis, and Applications Ralph Abraham,J.E. Marsden,Tudor Ratiu Limited preview  1993 