The authors demonstrate in this essential how vibrations and waves occur in many areas of physics and that a mass point can oscillate around its equilibrium position or an electric current can oscillate around the value of zero. They introduce readers to the mathematical treatment and the terms used, providing explanations for phenomena such as damped and forced oscillations, as well as the phenomenon of resonance. Readers learn that waves are spatial patterns of a physical quantity that propagate over time in space. Their behavior is determined by the wave equation and the conditions in the space. Waves in one and three spatial dimensions are considered, along with the phenomena of interference, reflection, refraction, polarization, and standing waves.