The book "Methods of the theory of functions of a complex variable" by A. M. Lavrentieva is a fascinating and deep immersion in the world of complex analysis, which will become an indispensable tool for both students and professionals in the field of mathematics and physics. Lavrentiev, an outstanding Soviet mathematician, known for his work on the theory of functions, offers readers not only theoretical foundations, but also practical methods that will help to understand complex concepts. In his book, the author explores many aspects of the theory of functions of a complex variable, ranging from basic concepts to more complex topics such as analytical functions, Cauchy integrals and sharp functions. Lavrentiev skillfully combines strict mathematical formulation with intuitive explanations, which makes the material accessible to understand even those who are just starting their way in the study of this discipline. The reader will be able to find in the book not only theoretical calculations, but also many examples that illustrate the application of the studied methods in practice. This book will be especially interesting for students of mathematical and physical faculties, graduate students and researchers who want to deepen their knowledge in the field of complex analysis. It will also be suitable for teachers who are looking for high-quality material for the preparation of lectures and seminars .. Lavrentiev creates an atmosphere of passion for science, which inspires readers to further study mathematics and its applications in various fields of science and technology. The topics raised in the book range from the foundations of function theory to more complex concepts, such as the theory of sharp functions and their application to various problems. Lavrentyev focuses on the importance of complex analysis in modern mathematical research and its connection with other fields of science, such as physics and engineering. The book also emphasizes the importance of complex analysis methods in solving real-world problems, which makes it especially relevant for practitioners. Lavrentiev's style is clear and logical, which allows the reader to easily follow the author's thoughts. His other well-known works, such as Methods of Mathematical Physics and Theory of Functions of Complex Variables, are also noteworthy and may be useful in conjunction with this book. Lavrentiev skillfully uses examples from real life, which helps the reader not only to understand the theory, but also to see its practical application. The book "Methods of the theory of functions of a complex variable" is not just a textbook, but a real find for anyone who wants to deepen their knowledge in the field of mathematics. It opens the door for the reader to the world of complex but fascinating mathematical concepts and methods that can be applied in a variety of fields. If you are looking for quality literature on complex analysis, this book will be your reliable companion in learning and mastering this important discipline. Do not miss the opportunity to get acquainted with the work of one of the greatest mathematicians of his time and expand your horizons in the world of mathematics!