The book "Complex numbers: educational and methodical manual for students of Vologda State Medical Academy . N. In. Vereshchagina, studying the disciplines of “Mathe” is an indispensable assistant for students seeking to deeply understand one of the most important and fascinating sections of mathematics. Created by a team of authors, this manual is not just a textbook, but a full-fledged guide that reveals all the facets of the topic of complex numbers, starting with their definition and ending with complex methods of solving problems and practical applications. This book is intended for students of the Vologda State Mechanico-Chemical Academy studying disciplines related to mathematics, and is especially relevant for those who want not only to master the theoretical foundations, but also to learn how to apply knowledge in practice. It deals in detail with basic concepts such as algebraic and geometric interpretation of complex numbers, their properties, operations and visualization methods. The author's team pays special attention to ensuring that the material is available and understandable to students with different levels of training, focusing on practical tasks that help to consolidate the knowledge gained . The book "Complex Numbers" is distinguished by a systematic approach to the presentation of the material, which makes it especially valuable for those who want not just to remember the formulas, but to understand their meaning and learn how to apply them in various situations. The manual discusses in detail the methods of solving equations, the properties of complex numbers, their use in trigonometry, analytical geometry and even in engineering calculations. Particular attention is paid to the development of analytical thinking and logical analysis skills, which makes the book useful not only for students, but also for teachers looking for high-quality teaching materials for classes. The style of presentation of the authors is clear and accessible, which is especially important when mastering complex mathematical concepts. There are many illustrations, diagrams, and examples in the book that help visualize abstract ideas and make learning more engaging. In addition to the theoretical sections, the manual contains practical tasks, tests and recommendations for independent work, which contributes to a deeper assimilation of the material and the development of problem solving skills. This book is an excellent choice for students interested in mathematics, physics, engineering and other technical disciplines, where knowledge of complex numbers plays a key role. It is suitable for both beginners and those who already have basic knowledge and want to expand them. It is especially valuable for those who appreciate the system approach and want to understand how theory turns into practical solutions. The author’s team that created this manual is known for its other works on mathematics and teaching methods, which guarantees a high level of quality and relevance of the material. In General, "Complex numbers: educational and methodological manual for students of the Vologda State Medical Academy . N. In. Vereshchagina is not just a textbook, but a guide to the amazing world of complex numbers, which will open new horizons for everyone who wants to understand the secrets of this important mathematical topic and learn how to apply it in real life. If you are looking for a book that will help you understand and master complex numbers, make it interesting and understandable, then this guide will become your reliable companion on the way to mathematical mastery. It is ideal for students studying mathematics, engineers, physicists and anyone who appreciates the accuracy, logic and practical application of knowledge.