Differential Calculus of Functions of Multiple Variables: Studies . Karpov V . A. , Savina Yu. In. and Chopchiyan S. A. is an indispensable resource for students, graduate students and anyone interested in mathematics and its applications in various fields of science and technology. This tutorial immerses the reader in the world of multidimensional analysis, revealing the subtleties and nuances of differential calculus of the functions of several variables. From the first pages, the authors establish a solid foundation on which to build further study of the topic. The book begins with the basics, such as the concept of the function of several variables, and gradually moves on to more complex concepts, including partial derivatives, gradients, and differentials. This makes the manual available to both beginners and those who already have a basic knowledge of mathematics and want to deepen their skills. One of the key features of this tutorial is its practical focus. The authors not only explain the theoretical aspects, but also offer many examples and tasks that help to consolidate the knowledge gained. The reader will be able to see how differential calculus is applied to real-world problems, from physics to economics. This makes the book especially valuable for technical students, as well as for anyone who seeks to use mathematics in their professional activities. The book will be interesting not only for students, but also for teachers who are looking for quality material for their courses. The authors pay attention to methodological aspects, which allows using the manual both for self-study and within the educational process. The style of presentation is clear and logical, which contributes to the easy perception of complex mathematical concepts. The topics raised in the book cover a wide range of issues, such as function extremities, optimality conditions, and the application of differential calculus in multidimensional space. These aspects are not only relevant to theoretical mathematics, but also have practical implications in a variety of fields, including physics, engineering, and economics. Readers will be able to see how mathematical methods help solve real-world problems, which makes learning a topic particularly fascinating. The style of the authors can be described as accessible and informative. They skillfully combine theory and practice, which allows the reader not only to learn the material, but also to learn how to apply it in practice. In. A. Karpov, Y. In. Savin and C. A. Chopchiyan is known for his scientific works and teaching aids in the field of mathematics, and this edition is no exception. Their experience and knowledge make the book a reliable source of information. If you are looking for a training manual on differential calculus of functions of several variables, which will be not only informative, but also exciting, this edition will be an excellent choice. It is suitable for both students and teachers, as well as for anyone who wants to expand their knowledge in the field of mathematics. Do not miss the opportunity to immerse yourself in the world of multidimensional analysis and discover new horizons of mathematical thinking with the help of the book “Differential calculus of the function of several variables: studies . [D.T.] .......................