The book "Typical calculations and methodical instructions on the topics: "Rivers", "Infinite, curvilinear, surface integrals . Elements of the theory p" is a unique manual created by a team of authors, including N. A. Mikulik, G. K. Voronovich, I. N. Katkovskaya, V. M. Reisina, G. N. Chepelev, N. and . Chepeleva, T. and . Rudenok and A. E. Metelsky . This publication will become an indispensable assistant for students, graduate students and teachers seeking to understand and master the complex topics of mathematical analysis and integral theory. The book covers a wide range of topics, including series, multiples, curvilinear and surface integrals, as well as elements of the theory of functions of several variables. Each chapter contains not only theoretical foundations, but also practical examples, which makes the material accessible and understandable. The authors seek to explain complex concepts in simple and clear language, which is especially important for students who may face difficulties in understanding these topics. The intriguing approach of the authors is that they not only present ready-made solutions, but also offer the reader to independently understand the process of solving problems. This contributes to the development of analytical thinking and self-employment skills. The guidelines presented in the book help readers not only to assimilate the material, but also to apply it in practice, which is especially important for future engineers, physicists and mathematicians. Who can like this edition? First of all, it will be useful for students of technical and mathematical specialties who study higher mathematics and are looking for high-quality educational materials . The book will also be of interest to teachers who want to enrich their lectures with practical examples and methodological guidelines. In addition, graduate students working on dissertations in mathematics and related sciences will find in it a lot of useful information and ideas for their research. The topics raised in the book cover not only theoretical aspects, but also the practical application of mathematical methods in real-world problems. The authors emphasize the importance of understanding the basics of mathematical analysis to further explore more complex topics, such as differential equations and mathematical physics. This makes the book especially valuable for those who want not only to study the material, but also to use it in their professional activities. The style of the authors is distinguished by clarity and logical presentation, which allows the reader to easily follow the course of thought and not lose the thread of the narrative. Each section of the book logically follows from the previous one, creating a holistic perception of the material. The authors use many illustrations and graphs, which helps to visualize complex concepts and makes the learning process more fascinating. If you are looking for a high-quality mathematical analysis guide that will help you understand topics such as rows and integrals, then “Model calculations and guidelines” is exactly what you need. Do not miss the opportunity to enrich your knowledge and skills by immersing yourself in the world of higher mathematics with this wonderful publication.