Lectures on the Theory of Ordinary Differential Equations . Classics and Modernity . Mathematics" is a unique work that has gathered rich experience and knowledge accumulated in the field of differential equations. This collection, created by a team of authors, not only immerses the reader in the world of mathematical theory, but also opens the door to modern approaches and methods that are used in this important field of science. The main purpose of the book is to provide readers with a deep understanding of ordinary differential equations (ODIs), which play a key role in mathematics and its applications. ODUs describe the dynamics of various processes, from mechanics to biology, and their study is fundamental to many scientific disciplines. The book deals with both classical methods of solution and modern approaches, which makes it relevant for both students and experienced researchers. Who can like this book? First of all, it will be of interest to students and graduate students studying mathematics, physics, engineering and other technical specialties . It will also be appreciated by teachers who are looking for quality teaching materials for their courses. Readers interested in mathematical modeling and its applications in various fields will find many useful ideas and solutions in this book. It is important to note that the book is suitable for both beginners and those who already have experience in studying OCA, due to its structured approach and accessible presentation language. The topics raised in the book cover a wide range of issues, ranging from the foundations of theory to modern methods of numerical solution of differential equations. The authors pay attention to both theoretical aspects and practical applications, which makes the material not only informative, but also useful. Readers will be able to learn about the different types of ADUs, their classification, methods of solution and application in real-world problems. The book also includes examples and challenges that will help consolidate the knowledge gained and develop the skills to solve . The style of the authors is distinguished by clarity and logical presentation, which makes complex mathematical concepts accessible for understanding. Each section of the book is accompanied by illustrations and examples, which contributes to a better assimilation of the material. The team of authors includes well-known specialists in the field of mathematics, which guarantees the high quality and relevance of the information presented. Lectures on the Theory of Ordinary Differential Equations . Classics and Modernity . Mathematics” will become an indispensable assistant for anyone who wants to deepen their knowledge in the field of differential equations. It will not only enrich the reader with theoretical knowledge, but also inspire further research and practical application of the acquired skills. If you are looking for a high-quality tutorial that can reveal to you all the facets of this fascinating area of mathematics, then this book is exactly what you need. Do not miss the opportunity to get acquainted with the classics and modern trends in the theory of ordinary differential equations - discover new horizons of science and mathematics with this wonderful book!