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Microphysics of Gases | |

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Thermodynamics | |

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Equation of State of a Perfect Gas | |

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First Law of Thermodynamics | |

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Second Law of Thermodynamics | |

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Thermal Properties of a Perfect Gas | |

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Some Consequences of the Combined First and Second Laws | |

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Kinetic Theory | |

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The Distribution Function and Boltzmann's Equation | |

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The Collision Integral | |

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The Maxwellian Velocity Distribution | |

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Boltzmann's H-Theorem | |

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The Time of Relaxation | |

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Classical Statistical Mechanics | |

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Thermodynamic Probability and Entropy | |

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Boltzmann Statistics | |

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Ionization | |

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Thermodynamic Properties of Ionizing Hydrogen | |

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Dynamics of Ideal Fluids | |

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Kinematics | |

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Velocity and Acceleration | |

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Particle Paths, Streamlines, and Streaklines | |

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The Euler Expansion Formula | |

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The Reynolds Transport Theorem | |

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The Equation of Continuity | |

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Vorticity and Circulation | |

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The Cauchy-Stokes Decomposition Theorem | |

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Equations of Motion and Energy | |

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The Stress Tensor | |

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The Momentum Equation | |

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The Energy Equation | |

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Dynamics of Viscous and Heat-Conducting Fluids | |

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Equations of Motion and Energy: The Continuum View | |

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The Stress Tensor for a Newtonian Fluid | |

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The Navier-Stokes Equations | |

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The Energy Equation | |

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Similarity Parameters | |

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Equations of Motion and Energy: The Kinetic Theory View | |

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The Mean Free Path and Transport Phenomena | |

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Moments of the Boltzmann Equation | |

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Conservation Equations for Equilibrium Flow | |

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The Chapman-Enskog Solution for Nonequilibrium Flow | |

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Evaluation of the Transport Coefficients | |

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Relativistic Fluid Flow | |

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Basic Concepts of Special Relativity | |

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The Relativity Principle | |

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The Lorentz Transformation | |

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Relativistic Kinematics of Point Particles | |

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Relativistic Dynamics of Point Particles | |

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Relativistic Dynamics of Ideal Fluids | |

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Kinematics | |

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The Equation of Continuity | |

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The Material Stress-Energy Tensor | |

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The Four-Force Density | |

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The Dynamical Equations | |

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The Kinetic Theory View | |

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Relativistic Dynamics of Nonideal Fluids | |

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Kinematics | |

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The Stress-Energy Tensor | |

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The Energy Equation | |

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The Equations of Motion | |

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Waves, Shocks, and Winds | |

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Acoustic Waves | |

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The Wave Equation | |

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Propagation of Acoustic Waves | |

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Wave Energy and Momentum | |

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Damping of Acoustic Waves by Conduction and Viscosity | |

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Acoustic-Gravity Waves | |

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The Wave Equation and Wave Energy | |

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Propagation of Acoustic-Gravity Waves in an Isothermal Medium | |

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Propagation of Acoustic-Gravity Waves in a Stellar Atmosphere | |

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Shock Waves | |

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The Development of Shocks | |

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Steady Shocks | |

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Shock Structure | |

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Propagation of Weak Shocks | |

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Numerical Methods | |

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Propagating Strong Shocks | |

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Thermally Driven Winds | |

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Basic Model | |

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Physical Complications | |

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Radiation and Radiative Transfer | |

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The Radiation Field | |

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The Specific Intensity and Photon Distribution Function | |

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The Mean Intensity and Radiation Energy Density | |

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The Radiative Energy Flux and Momentum Density | |

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The Radiation Pressure Tensor | |

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Thermal Radiation | |

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Planck's Law | |

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Stefan's Law | |

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Thermodynamics of Equilibrium Radiation | |

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Thermodynamics of Equilibrium Radiation Plus a Perfect Gas | |

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Thermodynamics of Equilibrium Radiation Plus an Ionizing Gas | |

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The Interaction of Radiation and Matter | |

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Absorption, Emission, and Scattering | |

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The Einstein Relations | |

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The Einstein-Milne Relations | |

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Opacity and Emission Coefficients | |

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The Equation of Transfer | |

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Derivation of the Transfer Equation | |

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Optical Depth and Source Function | |

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Moments of the Transfer Equation | |

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Solution of the Transfer Equation | |

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Formal Solution | |

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The Diffusion Limit | |

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The Wave Limit | |

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The Grey Atmosphere, Mean Opacities, and Multigroup Methods | |

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Numerical Methods | |

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Statistical Equilibrium in the Presence of a Radiation Field | |

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The Microscopic Implications of LTE | |

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Non-LTE Rate Equations | |

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Thermal Properties of a Nonequilibrium Gas | |

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Solution of the Coupled Transfer and Statistical Equilibrium Equations in Static Media | |

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The Two-Level Atom | |

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The Complete Linearization Method | |

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The Equations of Radiation Hydrodynamics | |

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Lorentz Transformation of the Transfer Equation | |

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The Photon Four-Momentum | |

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Transformation Laws for the Specific Intensity, Opacity, and Emissivity | |

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The Radiation Stress-Energy Tensor and Four-Force Vector | |

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Covariant Form of the Transfer Equation | |

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The Dynamical Equations for a Radiating Fluid | |

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The Inertial-Frame Transfer Equation for a Moving Fluid | |

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Inertial-Frame Equations of Radiation Hydrodynamics | |

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The Comoving-Frame Equation of Transfer | |

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Comoving-Frame Equations of Radiation Hydrodynamics | |

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Solution of the Equations of Radiation Hydrodynamics | |

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Radiation Diffusion Methods | |

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Transport Solution in the Comoving Frame | |

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Transport Solution by Mixed-Frame and VERA-Code Methods | |

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Radiating Flows | |

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Small-Amplitude Disturbances | |

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Radiative Damping of Temperature Fluctuations | |

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Propagation of Acoustic Waves in a Radiating Fluid | |

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Propagation of Acoustic-Gravity Waves in a Radiating Fluid | |

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Nonlinear Flows | |

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Thermal Waves | |

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Steady Shocks | |

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Propagating Shocks | |

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Ionization Fronts | |

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Radiation-Driven Winds | |

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Elements of Tensor Calculus | |

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Notation | |

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Cartesian Tensors | |

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General Tensors | |

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Glossary of Physical Symbols | |

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Index | |