The discussion centers on recommendations for resources on wave propagation in fluids, particularly for someone with a solid background in mathematics and mechanics. Key suggestions include "Fluid Mechanics" by Landau and Lifshitz, which covers various types of waves but is complex and lengthy. A more accessible option is "Theoretical Mechanics of Particles and Continua" by Fetter and Walecka, which provides a clear presentation of acoustic and surface waves, though it lacks coverage of internal waves. Additionally, "Waves in Fluids" by Lighthill is recommended for its focus on waves, solitons, and partial differential equations. "Fundamentals of Physical Acoustics" by David T. Blackstock is also mentioned as a valuable resource for understanding wave propagation in different media.