The book focuses on the evolution of automatic computing, emphasizing the transition from machine code to high-level programming languages like ALGOL. It highlights the ongoing necessity for preparatory work in computing processes, such as error estimation and stability analysis, which cannot be automated. ALGOL's standardized notation is presented as a significant advantage, allowing for the creation of abstract formulations of computing processes. The Handbook aims to provide ALGOL procedures for various numerical methods, enabling users to apply these methods with minimal effort once they are familiar with ALGOL.
