“Mathematical Analysis Control Work: Functions of Many Variables: Workshop” is an indispensable assistant for students, teachers and anyone who seeks to deepen their knowledge in the field of mathematical analysis, especially in the function section of many variables. The author’s team created this workshop in order not only to systematize the theoretical foundations, but also to offer a wide range of exercises that help to consolidate the material and prepare for exams, tests or independent work. This book is a real storehouse of knowledge for those who want to understand complex concepts related to multidimensional functions, their properties and applications. In it you will find carefully selected test papers covering all the key topics of the course: from the definition and graphical representation of functions of several variables to the study of differentiability, integrals for many variables, extremums and optimization methods. Each task is a challenge that helps not only to test theoretical knowledge, but also to develop analytical thinking, logical thinking and the ability to apply mathematics in practical situations. Workshop "Control work on mathematical analysis: the functions of many variables" is especially suitable for students of technical, economic and natural sciences faculties, as well as teachers looking for effective materials for independent preparation and control of knowledge of their students. It is designed for an audience of 17 years and older who are already familiar with the basics of mathematical analysis and want to move on to more complex aspects, expanding their horizons and improving their problem solving skills. The book deserves attention due to its practical approach: each task is accompanied by an analysis that helps to understand not only “how”, but also “why” is solved in this way. This makes it a valuable tool for securing material, developing critical thinking, and developing skills for self-working with mathematical problems. The author's team, including experienced teachers and methodologists, created this textbook, based on modern requirements for the preparation of students, which makes it relevant and in demand in educational institutions. The style of presentation in the book is distinguished by clarity and logical consistency, which is especially important when studying complex topics. There is no excessive theoretical overload - all explanations are supported by practical tasks, which contributes to a deeper assimilation of the material. In addition, the book includes a variety of types of tasks: from simple calculations to complex problems to the application of theorems and analysis methods, which makes it a universal tool for learning and self-training. If you are already familiar with classic textbooks on mathematical analysis, such as the works of Weierstrass or Riemann, then this workshop will be an excellent addition to allow you to go to practice and consolidate the knowledge gained. It is also suitable for those who are looking for a modern and practical manual for preparing for exams or test papers, as well as for self-study of the topic of functions of many variables. In general, “Mathematical Analysis Controls: Functions of Many Variables: Workshop” is not just a collection of tasks, but a full-fledged training tool that will help you understand complex concepts, develop analytical skills and prepare for successful exams. Its unique approach, richness of practical tasks and accessible presentation make it an indispensable assistant for all who strive for perfection in the field of mathematical analysis and want to confidently own multidimensional functions.