The textbook "Pre-stack AVO Inversion" offers a comprehensive examination of an inversion method based on rejection sampling techniques. The aim of this method is to determine the posterior distributions of P-wave velocity, S-wave velocity, and density. The underlying inversion algorithm utilizes the exact representation of the reflection coefficient from the Zoeppritz equation. This work compares the results of direct inversion of the reflection coefficient with inversion algorithms based on Taylor approximation. This allows for a detailed analysis of reflection surfaces with greater contrasts. The authors, Astrid Katrine Lundsgaard Nielsen and Tobias Benjamin Gram, present the inversion results for a three-layer subsurface model under ideal conditions and interpret the reference values from the drilling logs of the NINI oil field in the North Sea. The book is aimed at professionals and students in the fields of mathematics and natural sciences who are engaged in geophysical inversion methods.