The Simplest Problem of Variational Calculus . Methodological Guidelines for Model Calculation" is a unique work created by a team of authors that offers readers a deep immersion into the world of variational calculus. This work will become an indispensable tool 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 searches for extremities of functionals, and its application covers areas such as physics, economics, biology, and engineering. The book offers readers methodological guidelines that will help to understand the basics of this complex but fascinating subject. The authors strive to make the material accessible and understandable, which is especially important for beginners who are just beginning their journey in the study of calculus. The book discusses the simplest tasks that serve as a starting point for more complex concepts. Readers will be able to get acquainted with the basic principles of variational calculus, learn how to formulate tasks, find their solutions and analyze the results obtained. Each chapter of the book contains practical examples and tasks, which allows not only to assimilate the theory, but also to apply it in practice. This makes the book especially valuable for students who are preparing for exams or coursework. Who can like this book? First of all, it is addressed to students of mathematical and engineering specialties, graduate students and teachers who are looking for high-quality teaching materials . However, interest in variational calculus can also be shown by a wider range of readers, including those working in the fields of physics, economics and other sciences, where mathematical models play a key role. The book will be useful both for beginners and for those who already have experience in this field and want to deepen their knowledge. The topics raised in the book cover not only mathematical aspects, but also philosophical issues related to the search for optimal solutions. The authors focus on how variational calculus helps in solving real-world problems, which makes the material especially relevant in today's world, where process optimization is becoming an important task. Readers will be able to see how mathematical models are applied in different fields, from mechanics to economics, and how they help to find solutions that can change our perception of the world around us. The style of the authors is distinguished by clarity and accessibility of presentation, which makes complex mathematical concepts understandable to a wide audience. The book is filled with examples and illustrations that help to better absorb the material .. The team of authors includes experienced teachers and researchers, which guarantees the high quality and relevance of the material presented . If you are looking for a book that will help you understand the basics of variational calculus and learn how to put them into practice, "The Simplest Problem of Variational Calculus. Methodical instructions for a typical calculation" will be an excellent choice. This work will not only expand your knowledge, but also inspire further study of mathematics and its application in various fields. Do not miss the opportunity to immerse yourself in the fascinating world of variational calculus and discover new horizons!