1. The basic fluid equations; 2. Compressible media; 3. Spherically symmetric flows; 4. Stellar models and stellar oscillations; 5. Stellar oscillations - waves in stratified media; 6. Damping and excitation of stellar oscillations; 7. Magnetic instability in a static atmosphere; 8. Thermal instabilities; 9. Gravitational instability; 10. Linear shear flows; 11. Rotating flows; 12. Circular shear flow with self-gravity; 13. Modes in rotating stars; 14. Cylindrical shear flow - non-axisymmetric instability; References; Index.