Thermodynamics of flowing systems : with internal microstructure / Antony N. Beris, Brian J. Edwards.

Includes bibliographical references (pages 631-670) and indexes.

Theory -- The challenge of multiple time and length scales -- The energy as the fundamental quantity -- The generalized bracket approach -- A simple application: The damped oscillator -- Symplectic geometry in optics -- Theories of optics -- Symplectic structure -- The symplectic vector space -- The symplectic transformation -- Gaussian and linear optics -- Gaussian optics -- Linear optics -- Geometrical optics -- The symplectic structure of geometrical optics -- Fermat's principle -- An overview of wave optics and electromagnetism -- Hamiltonian mechanics of discrete particle systems -- The calculus of variations -- Hamilton's principle of least action -- The Poisson bracket description of Hamilton's equations of motion -- Properties of the Poisson bracket -- The Liouville equation -- The optical/mechanical analogy -- A historical aside on the principle of least action -- Fermat's reception -- Maupertuis' contribution -- Hamilton on the principle of least action -- Equilibrium thermodynamics -- The fundamental equation of thermodynamics -- Other fundamental relationships of thermodynamics -- The fundamental equation for a multicomponent system -- Extensive variable formulation -- Specific variable formulation -- Density variable formulation -- Equilibrium thermodynamics of a material with internal microstructure -- Additivity in compound systems -- Poisson brackets in continuous media -- The material description of ideal fluid flow -- The canonical Poisson bracket for ideal fluid flow -- The calculus of functionals.

Mystery.

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