By J M Souriau
Introduction.-Differential Geometry.-Manifolds.-Derivations.-Differential Equations.-Differential Forms.-Foliated Manifolds.-Lie Groups.-The Calculus of Variations.-Symplectic Geometry.-2-Forms.-Symplectic Manifolds.-Canonical Transformations.-Dynamical Groups.-Mechanics.-The Geometric constitution of Classical Mechanics.-The rules of Symplectic Mechanics.-A Mechanistic Description of uncomplicated Particles.-Particles Dynamics.-Statistical Mechanics.-Measures on a Manifold.-The rules of Statistical Mechanics.-A approach to Quantization.-Geometric Quantization.-Quantization of Dynamical Systems.-Bibliography.-Index.-List of Notation
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