The book "Application of numerical methods for solving engineering problems on computers", created by the team of authors, is an important work that summarizes and systematizes knowledge about numerical methods used in engineering practice. This publication will become an indispensable assistant for students, graduate students and practicing engineers seeking to deepen their knowledge in computational mathematics and its application to real-world problems. The book focuses on numerical methods - powerful tools that allow solving complex mathematical problems arising in various fields of engineering. From mechanics and thermodynamics to electrical engineering and materials science, numerical methods are used in almost all engineering disciplines. The authors consider in detail the algorithms that allow you to effectively model physical processes and optimize the design of systems. The book covers both classical methods, such as the finite difference method and the finite element method, and more modern approaches, which makes it relevant for specialists working with the latest technologies. One of the key features of this publication is its practical focus. The authors not only explain the theoretical foundations of numerical methods, but also demonstrate their application in specific examples, which allows readers to better understand how to use these methods to solve real engineering problems. Each chapter contains tasks for independent solution, which contributes to the consolidation of the acquired knowledge and the development of practical skills. This book will be especially useful for technical students, graduate students and young professionals who are just starting their way in the world of engineering. However, it may also be of interest to experienced engineers who want to update their knowledge or learn new techniques. Readers interested in mathematics and its application in engineering will find in it a lot of useful information and inspiration for further study. The topics raised in the book cover a wide range of issues, including numerical integration, solving differential equations, interpolation, and data approximation. These aspects not only help in solving specific problems, but also develop analytical thinking and critical analysis skills, which is important for any engineer. The book focuses on the importance of accuracy and reliability of calculations, which in the conditions of modern production and scientific research becomes especially relevant. The style of the authors is distinguished by clarity and accessibility of the presentation, which makes complex concepts more understandable to a wide audience. In this respect, the book can be compared with other known works in the field of numerical methods, such as "Numbered Methods for Engineers" or "