One. Oscillations and Waves in Linear Systems -- 1. Linear Oscillators -- 2. Oscillations in a System with Two Linked Oscillators -- 3. Oscillations in an Ensemble of Non-Interacting Oscillators -- 4. Oscillations in Ordered Structures. Limit for a Continuous medium. Waves. Dispersion -- 5. Properties of Waves with Small Amplitudes in Continuous media -- 6. Stability and Instability of Linear Systems with Discrete Spectra -- 7. Stability of Distributed Systems with Continuous Spectra -- 8. Propagation Velocity of Waves -- 9. Energy and Momentum of Waves -- 10. Waves with Negative Energy. Linked Waves -- 11. Parametric Systems and Parametric Instability -- 12. Adiabatic Invariants. Propagation of Waves in Inhomogeneous Media -- Two. Oscillations and Waves in Nonlinear Systems -- 13. The Nonlinear Oscillator -- 14. Periodic Self-Excited Oscillations -- 15. General Properties of Nonlinear Dynamic Systems in Phase Space -- 16. Self-Excited Oscillations in Multifrequency Systems -- 17. Resonance Interactions between Oscillators -- 18. Simple Waves and the Formation of Discontinuities -- 19. Stationary Shock Waves and Solitons -- 20. Modulated Waves in Nonlinear Media -- 21. Self-Excited Oscillations in Distributed Systems -- 22. Stochastic Dynamics in Simple Systems -- 23. The Onset of Turbulence -- 24. Self-Organization -- References.