Book "Anferov P . and . Mathematics. The Fourier series and Fourier integral, created by the team of authors, is a fascinating and in-depth study in the field of mathematical analysis that will be of interest to both students and professional mathematicians. This publication is not just a textbook, but a real guide to the world of Fourier series and Fourier integrals, which play a key role in various fields of science and technology. The book focuses on the Fourier series and the Fourier integral, powerful tools used to analyze periodic functions and signals. The author's team, consisting of experienced teachers and researchers, offers the reader not only theoretical aspects, but also practical applications of these mathematical concepts. The reader will be able to learn how Fourier series help in signal processing, in solving differential equations, and in other areas such as physics, engineering, and even economics. The book will be especially useful for students of mathematical and engineering specialties, as well as for anyone interested in applied mathematics. It is suitable for readers over the age of 16 who already have a basic knowledge of mathematics and want to deepen their skills in function analysis. If you are looking for a tutorial that not only explains the theory, but also shows how to put knowledge into practice, then this edition will be an excellent choice. The topics covered in the book cover a wide range of issues, including Fourier series properties, convergence, application of the Fourier integral, and its relationship to other mathematical concepts. The authors raise important questions, such as how to correctly interpret the results obtained with these tools, and how to avoid common errors when using them. The book also contains many examples and tasks that will help the reader to consolidate the knowledge gained and develop analytical thinking. The style of the authors is distinguished by clarity and accessibility, which makes the material understandable even for those who are just beginning to get acquainted with this topic. Each section of the book is logically structured and includes both theoretical explanations and practical tasks, which allows the reader to gradually delve into the material. Special attention is paid to visualization, which helps to better understand complex concepts. The team of authors working on the book consists of recognized specialists in the field of mathematics, which gives the publication additional value. Their experience and knowledge make it possible to create a high-quality product that will become a reliable assistant for students and practitioners. Among other well-known works of the authors are works on function theory, mathematical analysis and applied mathematics, which also deserve attention. If you are looking for a book that will help you to understand the complex topics of Fourier series and Fourier integrals, as well as expand your knowledge in the field of mathematical analysis, "Anferov P. and . Mathematics. Fourier series and Fourier integral" will be your faithful companion. This edition will not only enrich your intellectual baggage, but also inspire further research in mathematics and its applications. Do not miss the opportunity to immerse yourself in the fascinating world of mathematics and discover new horizons of knowledge!