Theory of Functions of a Complex Variable: Study. -method. E. Author's Guide A. Barkova is a unique work that will become an indispensable assistant for students, graduate students and anyone interested in mathematics and its applications in various fields of science and technology. This manual not only covers the theoretical aspects of complex analysis, but also offers readers practical tasks, which makes it ideal for both self-study and for use in the learning process. The book focuses on the functions of a complex variable, their properties and methods of analysis. The author examines in detail such important topics as analytical functions, integrals on curves, Cauchy's theorem, Laurent's series and much more. Each chapter is written with clarity and accessibility, which allows the reader not only to understand complex concepts, but also to see their practical application. Barkov skillfully combines theory with practical examples, which makes the material more lively and understandable. This manual will be especially useful for students of mathematical and physical faculties, as well as for those who are engaged in applied mathematics, engineering or even economics. If you are a mathematics student or a practicing engineer who wants to deepen your knowledge in the field of complex analysis, this book will be a real discovery for you. It may also be of interest to teachers who are looking for quality teaching materials for their students. The topics raised in the book cover not only the foundations of the theory of functions of a complex variable, but also more complex aspects, such as analytical continuations and residual functions. These questions are essential for understanding many current scientific and engineering challenges. The book helps the reader to develop critical thinking and problem-solving skills, which is essential in any scientific and technical activity. Style E. A. Barkov is distinguished by clarity and logical presentation . He is able to explain complex ideas in a simple and accessible language, which makes his manual attractive to a wide audience. The author also actively uses graphic illustrations and diagrams, which helps to visualize complex concepts and makes the learning process more fascinating. In addition to the Theory of Functions of a Complex Variable, E. A. Barkov is the author of other significant works in the field of mathematics, which confirms his high level of expertise and dedication to the cause. His works have already won recognition among students and teachers, and this manual will not be an exception. If you are looking for a high-quality training manual on complex analysis, which will help you not only to master the theory, but also to apply it in practice, then the Theory of Functions of a Complex Variable: Learn. -method. Help is exactly what you need[edit] This book will not only enrich your knowledge, but also inspire further research in mathematics and its applications. Do not miss the opportunity to immerse yourself in the world of complex analysis with this fascinating and useful guide, which will become your reliable companion on the way to understanding complex mathematical concepts.