Methodical instructions for solving problems of interpolation of functions : Educational and Methodological Manual”, created by the team of authors, is an indispensable practical resource for students, teachers and specialists seeking to deepen their knowledge in the field of numerical methods and interpolation of functions. This book is not just a collection of theoretical materials, but a complete guide that helps to understand complex concepts and apply them in practice, solving various problems arising in engineering, mathematical and scientific research. The focus of this tutorial is interpolation of functions, one of the key methods in numerical calculations, which allows restoring unknown values at known points. The author's team carefully examines the basic principles , algorithms and techniques, necessary for the successful accomplishment of tasks , associated with the construction of interpolation polynomials , using different methods of interpolation - from classical polynomial to more modern and effective approaches Particular attention is paid to practical aspects: step-by-step instructions, typical errors and tips for optimizing calculations, which makes the book a valuable assistant for both beginners and experienced specialists. This book is perfect for senior students, graduate students and teachers working in the field of applied mathematics, engineering sciences and computer technology . It will be interesting for those who are looking for specific solutions for interpolation problems, as well as for those who want to understand how to correctly apply numerical methods for data analysis, modeling and forecasting. The book deals in detail with topics related to the construction of interpolation polynomials, the use of Newton's methods, Lagrange, splines and other modern approaches, which makes it a universal tool for a wide range of specialists. The peculiarity of this work is a clear and accessible presentation of complex mathematical concepts, supported by numerous examples and tasks, which contributes to the consolidation of material and the development of independent decision skills. The style of the authors is characterized by practical orientation and accuracy, which makes the manual a valuable tool for those who want not only to understand the theory, but also to learn how to apply it to real problems. In addition, the book includes methodological recommendations for preparing for exams and test papers, which is especially important for students and teachers. “Methodological guidelines for solving problems of interpolation of functions” is not just a textbook, but a full-fledged guide in the world of numerical methods. It helps unlock the potential of interpolation as a powerful tool for data analysis and processing, as well as for solving complex engineering and scientific problems. In today's world, where the amount of information is growing exponentially, the ability to correctly apply interpolation methods is becoming an important skill, and this book is an excellent assistant on the way to mastering it. If you are looking for a book that combines theory and practice, contains many examples and practical problems, and also helps to understand the intricacies of numerical methods, then “Methodical instructions for solving problems for interpolation of functions” is exactly what you need. This book will become a reliable companion in studies and professional activities, expand your knowledge and skills, as well as open new horizons in the field of mathematical modeling and data analysis. Do not miss the opportunity to get acquainted with a unique manual that will help you become a true master of interpolation of functions and apply the knowledge gained in a variety of fields of science and technology.