Differential and Integral Calculus of Functions of Many Variables . Textbook" edited by E. G. Rudakovskaja is an indispensable resource for students, graduate students and anyone who seeks to better understand the complex concepts of mathematical analysis. In this tutorial, knowledge is collected that will help the reader not only to master the theory, but also to successfully apply it in practice. The main theme of the book is differential and integral calculus of functions of several variables. The author's team, consisting of experienced teachers and researchers, offers the reader a systematic approach to the study of this important area of mathematics. The manual discusses key concepts such as gradients, partial derivatives, multidimensional function integrals and their applications. Each section is written with an emphasis on accessibility and clarity, which makes the material easy to understand even for those who are just starting to get acquainted with this topic. The book will be especially useful for students of mathematical, physical and engineering specialties, as well as for anyone interested in applied mathematics. If you are preparing for exams or want to deepen your knowledge in the field of analysis, this guide will become a reliable assistant for you. It is suitable both for self-study and for use in classes. Each section presents examples, tasks and exercises that will help consolidate theoretical knowledge and develop practical skills. The topics raised in the book go far beyond the standard training course. The author's team pays special attention to the applications of differential and integral calculus in various fields of science and technology .. This allows the reader to see how abstract mathematical concepts can be used to solve real-world problems, from physics to economics. The book also addresses optimization issues, making it relevant to students studying economics and management. The style of presentation in the book is clear and logical . The authors aim to make complex mathematical ideas accessible to a wide audience, using illustrative examples and graphic illustrations. This allows the reader not only to absorb the material, but also to develop the critical thinking necessary to analyze and solve problems. In addition, the manual includes many exercises of different levels of complexity, which allows each reader to find suitable tasks for themselves. E. G. Rudakovskaya, as editor, is known for her contribution to educational literature, and her experience in the preparation of educational materials makes this manual especially valuable. She and her colleagues have created a book that not only meets modern learning requirements, but also inspires students to further research in mathematics. If you are looking for a high-quality tutorial on differential and integral calculus of the functions of many variables that will help you not only prepare for exams, but also expand your horizons in mathematics, then this edition is exactly what you need. Read, explore and discover the world of multidimensional analysis together with the “Differential and Integral Calculus of Functions of Many Variables”!