Pain H. The Physics of Vibrations and Waves 6ed 2005 + Sol. Man.

Textbook in PDF format

Simple Harmonic Motion.
Damped Simple Harmonic Motion.
The Forced Oscillator.
Coupled Oscillations.
Transverse Wave Motion.
Longitudinal Waves.
Waves on Transmission Lines.
Electromagnetic Waves.
Waves in More than One Dimension.
Fourier Methods.
Waves in Optical Systems.
Interference and Diffraction.
Wave Mechanics.
Non-linear Oscillations and Chaos.
Non-linear Waves, Shocks and Solitons.
Appendices:
Normal Modes, Phase Space and Statistical Physics.
Kirchhoff’s Integral Theorem.
Non-Linear Schrödinger Equation