The book "Building basic functions: A textbook", created by a team of authors, is an indispensable source of knowledge for students, teachers and specialists who delve into the field of mathematical analysis, numerical methods and function theory. This book is a real guide to the complex but exciting world of building basic functions, revealing to the reader not only the theoretical foundations, but also the practical algorithms necessary for the successful solution of modern problems in science and engineering. What does "Building Basic Functions" do? : Tutorial" so attractive and valuable? First of all, Author's team , Bringing together leading experts in the field of mathematical analysis and numerical methods , Carefully thought out the structure of the book , It will be easy and easy for them to understand. who are just beginning their journey in this challenging field. The book deals in detail with the basic concepts of constructing basic functions - from classical polynomials to modern variations used in spectral methods and machine learning. The reader will get acquainted with a variety of approaches, algorithms and theoretical calculations that allow creating effective and accurate models for data analysis and processing. This book is especially suitable for senior students, graduate students and teachers looking for reliable educational material for in-depth study of the topic. It will also be of interest to engineers, numerical calculation specialists, software solutions developers and researchers working in the field of mathematical modeling and data analysis. For those who appreciate practical orientation, the book provides examples illustrating the application of building basic functions in various fields - from signal and image processing to modeling physical processes. The topics raised in the textbook cover a wide range of issues, ranging from classical methods of constructing basic functions to modern approaches used in machine learning and artificial intelligence. Particular attention is paid to algorithms of construction and optimization, which makes the book a valuable tool for practical work. The authors not only reveal the theoretical foundations, but also share practical advice, which allows the reader to easily apply the knowledge gained in real projects. The presentation style is distinguished by clarity and logical consistency, which makes complex topics accessible and understandable. The author’s team uses a living language, avoiding excessive academic dryness, which turns reading into an exciting journey through the world of mathematical constructions. The book contains numerous illustrations, graphs and diagrams that help to better assimilate the material and see its practical value. A special place is occupied by a section devoted to modern trends and prospects for the development of the field of building basic functions. The reader will learn about the new algorithms, their advantages and possible directions of research, which makes the book relevant for those who want to be aware of the latest scientific achievements. If you are looking for a book that combines theory and practice, is saturated with examples and algorithms, and is also able to become a reliable assistant in the study of complex mathematical concepts, “Building basic functions: A textbook” is exactly what you need. This book will be your reliable companion on the way to professional growth and scientific discoveries, opening the door to the world of modern methods of analysis and modeling.