The book "Fundamentals of numerical methods: educational manual" by B. P. Solovyov is an indispensable source of knowledge for students, graduate students and specialists interested in mathematical modeling and numerical methods of solving problems in various fields of science and technology. In this guide, the author, with extensive experience in teaching and research, shares his knowledge to facilitate understanding of the complex concepts and algorithms that underlie numerical methods. Solovyov in his book examines in detail the basic principles and approaches used for numerical analysis, including methods of interpolation, numerical integration and differentiation, as well as the solution of systems of linear and nonlinear equations. Each topic is presented with clear explanations, examples and practical tasks, which makes the material available for perception. The book not only teaches the basics, but also encourages the reader to develop critical thinking and apply the knowledge gained in practice. This work will be especially useful for students of technical and natural science specialties, as well as for those who are preparing for exams or want to deepen their knowledge in the field of numerical methods. If you are looking for a tutorial that will help you understand complex mathematical concepts and teach you how to apply them to real-world problems, then this publication will be a real find for you. The topics raised in the book cover a wide range of issues, from theory to practice. Solovyov focuses on the importance of numerical methods in the modern world, where computing technologies play a key role in solving scientific and engineering problems. He emphasizes that understanding these methods not only expands the horizons of knowledge, but also opens up new opportunities for scientific research and practical application in areas such as physics, engineering, economics and even biology. The author's style is distinguished by clarity and accessibility, which makes complex mathematical concepts understandable even for those who are just starting their way in this area. Solovyov uses many illustrations and graphs, which helps the reader to visualize and better absorb the material. His approach to learning is based on the principle of “from simple to complex”, which allows him to gradually delve into the study of numerical methods. In addition to the Basics of Numerical Methods, B. P. Solovyov is the author of other significant works that also deserve attention. His books and manuals on mathematics and numerical methods are widely used in educational institutions and in advanced training courses. If you are interested in topics such as "numerical methods in mathematics", "numerical methods for engineers" or "mathematical modeling", then you will definitely find in his works a lot of useful and fascinating. In conclusion, “The Fundamentals of Numerical Methods: A Tutorial” is not just a textbook, but a whole world into which a reader who seeks new knowledge and discoveries plunges. This book will be your reliable companion in the study of numerical methods, will help to develop analytical thinking and will teach how to apply theoretical knowledge in practice. Do not miss the opportunity to discover this fascinating world of numerical methods together with B. P. Solovyov!