Unlock the secrets of spectral analysis with ‘Method of Spectral Mappings in the Inverse Problem Theory’. This essential monograph, part of the ‘Inverse and Ill-Posed Problems Series’, delves into recovering operators from their spectral characteristics – a critical task across mathematics, physics, and geophysics. Explore the powerful method of spectral mappings, a key tool for solving inverse spectral problems for ordinary differential equations. Discover how to recover higher-order differential operators using the advanced Weyl matrix and analyze inverse problems involving nonlinear spectral parameter dependence. Ideal for specialists and researchers in inverse problems for differential equations, this book offers profound insights and practical applications in science and engineering.