The book “Mathematical Logic and Theory of Algorithms” edited by Yulia Vladimirovna Weinstein is a fascinating and deeply researched study that immerses the reader in the world of logic and algorithmic thinking. This publication, created by a team of authors, will become an indispensable assistant for students, graduate students and anyone interested in the basics of mathematical logic and algorithmic theory. From the first pages, the book captures the reader's attention, offering not only theoretical foundations but also practical examples that help to better understand complex concepts. It addresses key topics such as formal systems, logical inferences, algorithmic complexity, and more. Each section is written with clarity and accessibility, which makes the material understandable even for those who are just starting out in the study of mathematics and computer science. This book will be of interest to both students of technical specialties and teachers who want to update their knowledge in the field of logic and algorithms. It is suitable for those who are fond of programming, mathematics, philosophy and even artificial intelligence. If you are looking for literature that will help you not only to master the theory, but also to learn how to apply it in practice, then “Mathematical logic and algorithm theory” will be a real discovery for you. One of the main topics raised in the book is the relationship between mathematical logic and algorithms. The authors investigate in detail how logical structures affect the development of algorithms and how algorithms can be used to solve logical problems. This interaction becomes especially relevant in the light of current trends in computer science, where logic plays a key role in the development of effective software solutions. Yulia Vladimirovna Weinstein’s style as an editor is distinguished by clarity and consistency. She is known for her work in mathematical logic and computer science, and her experience allows her to create material that will be useful to both beginners and more experienced readers. Weinstein is also the author and editor of other significant publications, such as Fundamentals of Algorithm Theory.