Elements of the Theory of Analytical Functions: Studies . Author's Guide to . P. Arkhipova is a fascinating and deep dive into the world of mathematical analysis, which will become an indispensable assistant for students, graduate students and anyone interested in mathematics at a higher level. This manual offers the reader not only theoretical foundations, but also practical applications, which makes it ideal for those who want not only to study, but also to apply the knowledge gained. The book focuses on analytical functions, their properties and applications in various fields of science and technology. Arkhipov, using an accessible and clear language, explains complex concepts, making them understandable even for those who are just beginning to get acquainted with this topic. Readers will be able to learn about important aspects such as holomorphic functions, Cauchy integrals,. theorem Residue and many other key concepts that are the basis of modern mathematical analysis. Who may like this guide? First of all, it will be useful for students of mathematical and engineering specialties, as well as graduate students engaged in research activities in the field of mathematics and physics . However, interest in the book can also be shown by teachers who want to update their knowledge or find new approaches to explaining complex topics. In addition, lovers of mathematics, seeking to deepen their knowledge, will also find in this manual a lot of interesting ideas and examples. One of the main topics raised in the book is the relationship between the theory of analytical functions and other areas of mathematics, such as complex analysis and differential equations. Arkhipov shows how these disciplines intertwine and complement each other, which can be especially useful for students seeking an interdisciplinary approach to learning. The book also touches on the application of analytical functions in physics, engineering and other applied sciences, which makes it relevant and in demand. Style B. P. Arkhipova is clear and logical, which allows the reader to easily assimilate the material. The author uses many examples and problems, which contributes to a better understanding of the theory and its practical application. His previous works, such as Course in Mathematical Analysis and Fundamentals of the Theory of Functions of Complex Variables, have already gained recognition among students and teachers, and this manual continues the traditions of his predecessors, offering a fresh look at classical topics. The book “Elements of the Theory of Analytical Functions” is not just a textbook, but a real find for anyone who wants to deepen their knowledge in the field of mathematical analysis. It will be a reliable companion on the way to understanding complex mathematical concepts and will help readers develop the analytical thinking necessary to solve problems in a variety of fields. If you’re looking for a quality and affordable analytic feature guide, this edition is your perfect choice. Do not miss the opportunity to discover the world of analytical functions with the help of the book B. P. Arkhipova, who will become your reliable assistant in the study of mathematics and will open new horizons in the understanding of this fascinating science