"Algebraic bases of numerical analysis" is a fascinating and deep work written by well-known scientists and practitioners in the field of mathematics and computer science - Valery Pavlovich Ilyin and Yuri Ivanovich Kuznetsov .. This book will be a real discovery for students, graduate students, teachers and anyone interested in numerical analysis and its algebraic aspects. The authors focus on methods and algorithms that allow solving complex mathematical problems using numerical methods. The book covers a wide range of topics, including numerical solution of equations, interpolation, approximation of functions and numerical integration, making it an indispensable tool for those who want to deepen their knowledge in this area. One of the key features of the book is its ability to combine theoretical foundations with practical applications. The authors not only explain the basic concepts, but also offer readers a lot of examples and tasks that help to consolidate the knowledge gained. This makes the book especially valuable for students and practitioners who want not only to become familiar with the theory, but also to learn how to apply it in practice. The book will be of interest not only to students of mathematical and engineering specialties, but also to those who work in the field of computer science, physics, economics and other disciplines where numerical methods play an important role. It is suitable for both beginners and more experienced readers who want to refresh their knowledge or explore new approaches in numerical analysis. The topics raised in the "Algebraic Fundamentals of Numerical Analysis" cover important aspects such as the sustainability and convergence of numerical methods, which is critical to successfully solving real-world problems. The authors focus on how to choose the right methods depending on the specific task, which allows the reader to develop analytical thinking and learn to make informed decisions in the process of work. The style of Ilyin and Kuznetsov is distinguished by clarity and accessibility, which makes complex mathematical concepts understandable even for those who are just starting their way in numerical analysis. Their previous works, such as Numerical Methods and Mathematical Foundations of Computer Modeling, have already established themselves as reliable sources of knowledge, and Algebraic Foundations of Numerical Analysis is no exception. This book is not just a textbook, but a real find for anyone who wants to deepen their knowledge in the field of numerical analysis. It inspires study and experimentation, encouraging the reader not to be afraid of complex problems and to look for new ways to solve them. If you’re looking for a quality and deep numeric analysis guide that combines theory and practice, then the “Algebraic Basis of Numerical Analysis” is exactly what you need. Do not miss the opportunity to immerse yourself in the world of numerical methods and discover new horizons in mathematics and its applications. This book will be your reliable companion in studying the algebraic foundations of numerical analysis and will help you become a more confident specialist in your field.