1 Introduction.- Part I Hydrodynamical Phenomena in Astrophysical Objects.- 2 Basic Equations for Hydrodynamics.- 3 Astrophysical Fluid Flows.- 4 Wave Phenomena in Astrophysical Objects.- 5 Convection and Related Topics.- 6 Dynamical Instability and Dynamical Excitation of Oscillations.- 7 Instabilities due to Dissipative Processes I (Secular Instability).- 8 Overstability due to Dissipative Processes II: Excitation of Oscillations.- 9 General Relativistic Hydrodynamics.- Part II Magnetohydrodynamical Phenomena in Astrophysical Objects.- 10 Derivation of Magnetohydrodynamical Equations from Boltzmann Equation.- 11 MHD Equations and Basic Characteristics of Magnetic Fields.- 12 Astrophysical MHD Flows.- 13 Waves and Shocks in Magnetohydrodynamical Fluids.- 14 Astrophysical Dynamo.- 15 General Stability Theorem for MHD Systems.- 16 Instabilities Related to Magnetic Fields.- 17 Important Non-Ideal MHD Processes.- 18 Relativistic Magnetohydrodynamics.- Part III Astrophysical Radiation Hydrodynamics.- 19 Basic Concepts of Radiative Fluids.- 20 Basic Equations for Radiative Transfer.- 21 Basic Equations for Radiation Hydrodynamics.- 22 Astrophysical RHD Flows.- 23 Wave and Instability in Radiative Fluids.- 24 Relativistic Radiative Transfer.- 25 Relativistic Radiation Hydrodynamics .- 26 General Relativistic Radiation Hydrodynamics.