The book “Challenges in Variational Calculus”, written by a team of authors consisting of Amosov, Ignatiev and Pereskokov, is a fascinating and deep immersion in the world of variational calculus one of the most interesting and complex areas of mathematical analysis. This work will become an indispensable assistant for students, graduate students and teachers, as well as for anyone interested in mathematics and its applications in various fields of science and technology. Variational calculus is a branch of mathematics that explores the extreme values of functionals and finds wide application in physics, economics, biology, and engineering. In the book, the authors offer readers a variety of tasks that will help them better understand the basic principles and methods of variational calculus. Each task is accompanied by a detailed analysis, which allows not only to find a solution, but also to understand how and why it works. This makes the book especially useful for those who want to not just memorize the formulas, but really understand the material. The book is addressed to a wide range of readers: from students of mathematical and physical faculties to practitioners who want to deepen their knowledge in the field of variational calculus. If you are interested in mathematics, physics or engineering, then this publication will be a real find for you. It will help you not only to prepare for exams, but also to develop analytical thinking and skills in solving complex problems. The topics raised in the book cover a wide range of issues, ranging from the simplest tasks to finding extremes to more complex problems related to diversity and functional spaces. The authors pay attention to both classical and modern approaches to solving variational problems, which makes the material relevant and in demand. The style of the authors is distinguished by clarity and accessibility of the presentation . They skillfully combine theoretical aspects with practical examples, which helps the reader to better assimilate the material. The book contains many illustrations and graphs that make complex concepts more clear and understandable. This approach allows not only to interest the reader, but also to inspire him to further study the calculus of variation. Amosov, Ignatiev and Pereskokov are authors known for their scientific works and teaching aids in the field of mathematics. Their previous work has also earned high praise among students and faculty. In "The Problems of Variational Calculus" they continue the tradition of qualitative and accessible exposition of complex mathematical topics, which makes their books indispensable for all who seek a deep understanding of mathematics. If you are looking for books on variational calculus, mathematical analysis, or optimization theory, then The Problems of Variational Calculus will be a great addition to your library. This book will not only enrich your knowledge, but also help you develop skills that will be useful in your professional activities. Do not miss the opportunity to immerse yourself in the fascinating world of variational calculus and discover new horizons of mathematical analysis!