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| Preface | |
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| How to use this book | |
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| Astrophysical processes | |
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| Why does an accelerated charge radiate? | |
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| Paranoid effect | |
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| Bremsstrahlung and synchrotron radiation | |
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| Thompson scattering and Eddington limit | |
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| Inverse Compton scattering and CMBR | |
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| Interaction of matter and radiation | |
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| Diffusion in energy space | |
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| Line widths | |
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| Photon: particle or wave? | |
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| Sensitivities of telescopes | |
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| Newtonian gravity | |
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| Neutral gaseous system | |
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| Transport coefficients for a gas | |
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| Time-scale for gravitational collisions | |
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| Collisionless evolution | |
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| When is gravity important? | |
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| Making a star | |
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| Death of stars | |
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| Forming the galaxies | |
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| Galaxy luminosity function | |
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| Basic plasma physics | |
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| Dynamics and gravity | |
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| Dynamical systems | |
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| Hamiltonian dynamics | |
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| Integrals of motion | |
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| Surfaces of section | |
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| Fully integrable systems | |
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| Systems with many particles | |
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| Thermodynamics | |
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| Systems without extensivity of energy | |
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| Mean field equilibrium of gravitating systems | |
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| Isothermal sphere | |
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| Gravity and degeneracy pressure | |
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| Collisional evolution of gravitating systems | |
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| Collisionless relaxation | |
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| Equilibria of collisionless gravitating systems | |
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| Axisymmetric systems and halos | |
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| Fluid mechanics | |
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| Basic equations of fluid mechanics | |
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| Viscosity and heat conduction | |
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| Macroscopic flow of fluid | |
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| Visualization of flow | |
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| Ideal fluids | |
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| Viscous fluids | |
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| Instabilities and turbulence | |
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| Sound waves | |
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| Supersonic flow of gas | |
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| Shock waves | |
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| Particle acceleration mechanisms | |
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| Spherical accretion | |
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| Accretion disc | |
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| The Sedov solution for a strong explosion | |
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| Basics of magnetohydrodynamics | |
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| Landau damping | |
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| Radiation processes | |
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| Feynman formula for classical radiation | |
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| Radiation field in simple cases | |
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| Radiation reaction | |
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| Radiation in the ultrarelativistic case | |
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| Bremsstrahlung | |
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| Magnetic fields and synchrotron radiation | |
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| Energy content of synchrotron sources | |
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| Thomson scattering | |
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| Compton and inverse Compton effects | |
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| Comptonization | |
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| Quantum theory of radiation | |
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| Classical limit and dipole approximation | |
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| Photoionization | |
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| Einstein's A, B coefficients | |
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| Absorption and emission in continuum case | |
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| Self-absorption of continuum radiation | |
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| General relativity | |
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| Accelerated frames, special relativity and gravity | |
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| Gravity and the metric tensor | |
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| Particle trajectories in a gravitational field | |
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| Parallel transport | |
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| Formulas for covariant derivative | |
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| Physics in curved spacetime | |
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| Curvature | |
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| Practice with metrics | |
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| Dynamics of gravitational field | |
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| Geodesic deviation | |
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| Schwarzschild metric | |
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| Gravitational lensing | |
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| Friedmann model and thermal history | |
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| Maximally symmetric universe | |
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| Kinematics in Friedmann universe | |
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| Dynamics of the Friedmann model | |
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| Optical depth due to galaxies | |
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| Radiative processes in an expanding universe | |
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| Statistical mechanics in an expanding universe | |
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| Relics of relativistic particles | |
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| Relics of massive particles | |
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| Decoupling of matter and radiation | |
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| Perturbed Friedmann universe | |
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| Dynamics in the expanding universe | |
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| Trajectories in perturbed Friedmann universe | |
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| Density contrast from the trajectories | |
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| Vlasov equation and the fluid limit | |
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| Measures of inhomogeneity | |
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| Gaussian random fields | |
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| Linear evolution in the smooth fluid limit | |
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| Linear evolution of distribution function | |
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| Free streaming | |
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| Power spectra for dark matter | |
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| Spherically symmetric evolution | |
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| Scaling laws for spherical evolution | |
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| Self-similar evolution of Vlasov equation | |
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| Non-linear evolution from a scaling ansatz | |
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| Zeldovich approximation and pancakes | |
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| Accuracy of Zeldovich approximation | |
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| Structure formation | |
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| Perturbations in baryons | |
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| Acoustic oscillations of baryons | |
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| Silk damping | |
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| Overall evolution of baryonic perturbations | |
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| Non-linear collapse of baryons | |
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| Angular momentum of galaxies | |
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| Angular pattern of MBR anisotropies | |
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| Derivation of MBR anisotropies | |
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| Sachs-Wolfe effect and COBE | |
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| High redshift objects | |
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| Gunn-Peterson effect | |
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| Ionization of IGM | |
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| Re-ionization and CMBR | |
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| Mass functions | |
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| Abundance of quasars | |
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| Lyman-alpha forest | |
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| Abundance of damped Lyman-alpha clouds | |
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| Very early universe | |
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| Flattening the Hubble radius | |
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| Horizon and flatness problems | |
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| Origin of density perturbations | |
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| Quantum fluctuations in inflationary phase | |
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| Cosmological defects | |
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| Advanced problems | |
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| Interior potential of a homoeoid | |
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| Torus in phase space | |
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| Gravitating systems in two dimensions | |
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| Antonov instability | |
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| Degenerate self-gravitating systems | |
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| Thermal conductivity of a fluid | |
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| Ionization fronts | |
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| Radiation in classical theory | |
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| Cerenkov radiation | |
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| Lensing and caustics | |
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| Inhomogeneous universe | |
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| Collapse of dust sphere | |
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| Geometrical properties of the Friedmann model | |
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| Nucleosynthesis | |
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| Velocity space caustics | |
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| Probability distribution of matrix eigenvalues | |
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| Numerical simulations of Zeldovich approximation | |
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| CMBR anisotropies in a general cosmology | |
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| Useful constants | |
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| Notes and references | |
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| Index | |