The book presents a broad and in-depth overview of recent achievements and the current state of research in magnetohydrodynamic (MHD) oscillatory and wave phenomena in the coronae of the Sun and stars. Major progress in coronal wave studies has been achieved thanks to the combination of high-precision multi-wavelength observations with spaceborne and ground-based facilities, elaborated theory of the interaction of MHD waves with plasma non-uniformities, state-of-the-art numerical simulations, and novel data analysis techniques. It has allowed the research community to reach a new look at the...