“Mathematical foundations of digital signal processing” is a unique publication created by a team of authors that immerses the reader in the fascinating world of digital signal processing (DCS) with an emphasis on the mathematical principles underlying it. This book will be an indispensable tool for both students and graduate students of technical specialties, and for professionals working in the field of electronics, communications and information technology. From the first pages, the reader is faced with the basics that serve as a solid foundation for understanding more complex concepts. The authors carefully and easily explain how mathematics permeates all aspects of signal processing, from simple algorithms to complex systems. The book covers key topics such as Fourier transform, filtering, spectral analysis and many others, which allows the reader not only to get acquainted with the theory, but also to understand how to apply this knowledge in practice. Who can like this publication? First of all, it is addressed to students and graduate students studying electrical engineering, computer science and related disciplines . However, interest in the book can be shown by a wider range of readers: engineers working in the field of digital signal processing, specialists in image and sound processing, as well as researchers seeking to deepen their knowledge in this area. The book will be useful to those who want not only to learn the theory, but also to learn how to use mathematical methods to solve real problems. The topics raised in the book cover a wide range of issues, including algorithmic provision of signal processing, information theory, and optimization techniques. The authors focus on the practical application of mathematical concepts, which allows the reader to see how theoretical knowledge turns into effective tools for working with data. This makes the book especially valuable in the face of the rapid development of technology and the need to process large amounts of information. The style of the authors is distinguished by clarity and logical presentation, which allows the reader to easily follow the course of thought. They skillfully combine theoretical aspects with practical examples, which makes the material not only accessible, but also fascinating. In this context, it is worth noting that the team of authors includes recognized experts in the field of digital signal processing, which gives the book additional value. If you are looking for literature that will help you understand the complex mathematical concepts associated with digital signal processing, then the “Mathematical Fundamentals of Digital Signal Processing” is exactly what you need. The book will not only expand your knowledge, but also inspire new research and development in this exciting field. In addition to this, the book can serve as an excellent reference material for those who already work in the field of COS and want to update their knowledge or master new methods. She will become a reliable assistant in preparing for exams, writing scientific papers or even in developing her own projects. Thus, the “Mathematical foundations of digital signal processing” is not just a textbook, but a whole world in which everyone who is interested in modern technologies and their mathematical foundations should immerse themselves. This publication should definitely take a worthy place on the shelf of everyone who seeks professional growth and a deep understanding of digital technologies.