The Theory of Functions of a Complex Variable: . Tasks: training. Bogatova E . M. , Longitudinal E. E. and Lubasova G. Yu. is an indispensable resource for students, graduate students and anyone interested in mathematics and its applications in various fields of science and technology This manual is a carefully compiled collection of tasks that not only deepens the understanding of the theory of functions of a complex variable, but also develops analytical thinking and problem solving skills. At the heart of the book is a fundamental topic the study of functions defined on a complex plane. The authors invite the reader to plunge into the world of complex analysis, where each task becomes the key to understanding complex concepts. The reader will be able to study such important aspects as analytical functions, integrals on curves, Cauchy's theorem and its applications, as well as resonance phenomena arising in various fields of physics and engineering. The topics covered in the book are relevant not only for mathematicians, but also for physicists, engineers, economists and anyone who uses mathematical methods in their professional activities. The book will be especially useful for senior students of mathematical and engineering specialties, as well as graduate students and teachers who are looking for high-quality educational materials for preparing for exams or for in-depth study of the subject . It will be an excellent addition to the course materials and will help in preparing for the test and exams . Thanks to a practical approach, the manual is also suitable for those who independently study mathematics and want to improve their skills in solving problems. One of the main features of this training manual is its structure .. Tasks are grouped by topic, which makes it easy to navigate the material and select the necessary sections for study. Each section contains a theoretical help that helps the reader to better understand the essence of the tasks. This makes the book not only a practical tool, but also a full-fledged textbook that can be used both for self-study and within the educational process. The style of the authors is distinguished by clarity and accessibility of presentation, which allows even complex mathematical concepts to be presented in an understandable and logical form. Bogatov, Dolgopolova and Lyubasova are experienced teachers and researchers who know how to convey material to students . Their previous works have also received recognition in scientific circles, which confirms the high level of their professionalism and deep understanding of the subject. The Theory of Functions of a Complex Variable: . Tasks: training. The manual not only deepens knowledge in the field of complex analysis, but also develops critical thinking, which makes it especially valuable for future specialists. It will become a reliable assistant for those who seek a deep understanding of the mathematical foundations and their practical application in real-world problems. If you are looking for a high-quality tutorial on the theory of functions of a complex variable that will help you not only prepare for exams, but also expand your knowledge, then this book is exactly what you need. Do not miss the opportunity to discover the world of complex analysis with this unique collection of tasks!