Mathematical Logic and Theory of Algorithms, edited by H. A. Bogulskaya is a fascinating and deep immersion in the world of mathematical logic and algorithmic processes, which will become an indispensable tool for students, graduate students and anyone interested in the basics of computational theory. This work is a collection of articles written by a team of authors, each of whom is an expert in their field, which gives the book a multifaceted and diverse approach to the topics studied. From the first pages, the reader finds himself in an exciting world of logical structures and algorithmic solutions. The book covers a wide range of issues, ranging from the basics of mathematical logic, such as logical statements, predicates, and inference rules, to more complex concepts, such as incompleteness theorems and computational complexity. Each section is written with clarity and accessibility, which allows even those who are just beginning their journey in this area to easily absorb the material. Who is this book intended for? First of all, it will be of interest to students of mathematical and computer specialties, as well as to anyone who wants to deepen their knowledge in the field of algorithm theory and logic . Engineers, programmers and researchers working in the field of artificial intelligence and computational theory will find in it many useful ideas and concepts that will help them in their professional activities. The book will also be useful to teachers who want to enrich their courses with modern approaches to the study of logic and algorithms. The topics raised in the book are not only relevant, but also have deep philosophical roots. The authors explore how mathematical logic can be applied to practical problems, as well as discuss its impact on the development of computer science. Questions about what an algorithm is, what its boundaries and capabilities are, and how logic can help build efficient computing systems make this book an important contribution to modern scientific discussion. Style N. A. Bogulskaya and her colleagues are distinguished by the clarity and logic of the presentation . They skillfully use examples and illustrations to make complex concepts more easily understood. This is especially important in such a complex field as mathematical logic, where abstract ideas can be difficult to perceive. The book is written with care for the reader, which makes it not only a textbook, but also an exciting read. If you are looking for literature that will help you understand the basics of mathematical logic and algorithms, then Mathematical Logic and Algorithm Theory will be an excellent choice for you. It can become the basis for further study of topics such as theoretical computer science, artificial intelligence and even the philosophy of mathematics. In conclusion, “Mathematical Logic and Theory of Algorithms” is not just a book, but a whole world that opens up new horizons of knowledge and opportunities for the reader. It inspires research, offers new insights, and helps us understand how logic and algorithms shape our understanding of the world around us. Do not miss the chance to immerse yourself in this fascinating world with N. A. Bogulskaya and her team of authors!