“Solving Geometric and Physical Problems with Multiple, Curvilinear, and Surface Integrals: Lessons Learned” Handbook" by Arkhipov V. P. , Dolgopolova E. E. , Savina Yu. In. and Chopchiyan S. A. is a unique textbook that will open the world of mathematical analysis and its application in various fields of science and technology to readers. This publication will be an indispensable assistant for students, graduate students and teachers, as well as for anyone interested in mathematics and its practical aspects. The book immerses the reader in the fascinating process of solving geometric and physical problems, using powerful tools of multiple, curvilinear and surface integrals. These mathematical concepts may seem complicated, but the authors masterfully explain them, focusing on intuitive understanding and practical application. Each chapter is filled with examples that illustrate how integrals can be used to solve real-world problems, from calculating areas and volumes to analyzing physical phenomena such as electric and magnetic fields. Who will benefit from this manual? First of all, it will be an excellent resource for students of mathematical and engineering specialties, as well as for all those who study physics . If you are passionate about mathematics, love to solve problems and strive to understand how abstract concepts can be applied in real life, this book will be a real find for you. It will also be useful for teachers who are looking for new approaches to explain complex topics to their students. The topics raised in the book cover a wide range of issues, from the foundations of integral calculus to its application in various fields. The authors focus on how integrals help to model and analyze complex systems, which makes the material especially relevant in the light of modern scientific research and technological developments. The book explores not only theoretical aspects but also practical examples, allowing readers to see how knowledge can be applied in real-life situations. The style of the authors is distinguished by clarity and accessibility, which makes even the most complex concepts understandable to a wide audience. They use a variety of illustrations and graphs to help visualize the ideas being discussed. This makes the tutorial not only useful, but also interesting to read. Arkhipov, Dolgopolov, Savin and Chopchiyan are experienced teachers and researchers who know how to interest the reader and make the learning process fascinating. If you are looking for literature that will help you deepen your knowledge in mathematics and physics, as well as teach you how to apply theoretical concepts in practice, then “Solving geometric and physical problems using multiple, curvilinear and surface integrals” will be an excellent choice. This book will not only expand your horizons, but will also inspire further research and discoveries. In conclusion, it is worth noting that this manual will be useful not only for students and teachers, but also for everyone who seeks self-development and wants to understand how mathematics can be used to solve real problems. Read, explore and discover new horizons with this wonderful tutorial!