The book "Iterative Approximation of Fixed Points" by Vasile Berinde provides a comprehensive introduction to the main iterative methods for constructing fixed points of nonlinear contractive mappings. It summarizes significant contributions in this field and presents relevant and up-to-date convergence theorems for each method considered, including the Picard, Krasnoselskij, Mann, and Ishikawa iterations. Additionally, it addresses applications for solving nonlinear operator equations as well as a thorough error analysis of the main methods. Given the multitude of research published in the last 15 years, this work is a valuable resource for authors, editors, and reviewers, as it introduces concrete criteria for evaluating published works.