The book "The Inverse Problem for the Wave Equation with a Non-Local Potential" offers a comprehensive investigation of the solution to inverse problems for the wave equation associated with a non-local potential. It addresses both forward and inverse non-stationary problems and provides innovative methods based on already developed approaches for the stationary Schrödinger equation. The work emphasizes the practical relevance of the methods that contribute to determining the discrete spectrum of stationary problems and demonstrates how these techniques can be used to reconstruct the structure of environments in passive seismology. The book is aimed at researchers and students in the fields of mathematical physics, applied mathematics, and geophysics, offering valuable insights into the mathematical foundations and applications of this topic.