The book "Fundamentals of optimization theory" by A. and . Danilina is a fascinating and deep dive into the world of mathematical methods that help solve optimization problems in a variety of fields. This work will be an indispensable tool both for students studying mathematics and related disciplines, and for practitioners seeking to improve their skills in analysis and decision-making. In his book, Danilin explores key concepts of optimization theory, starting with basic concepts and ending with more complex methods. The reader will learn about different types of optimization problems, such as linear and nonlinear, as well as methods for solving them, including gradient and evolutionary algorithms. The author not only explains the theoretical aspects, but also offers practical examples, which makes the material accessible and understandable. Who can like this book? First of all, it will be of interest to students and graduate students of technical and economic specialties, as well as to anyone who wants to deepen their knowledge in the field of mathematical modeling and optimization . Engineers, economists, analysts and researchers will find in it useful ideas and tools for their work. The book is also suitable for those who are interested in applied mathematics and its application in real-world problems. The topics raised in the Foundations of Optimization Theory cover a wide range of issues, such as the effectiveness of algorithms, the sustainability of solutions, and the impact of various factors on the optimization process. Danilin focuses on the importance of choosing the right methods depending on the specifics of the task, which makes the book especially relevant in the context of the constant growth of data volumes and the complexity of systems faced by modern specialists. The author's style is distinguished by clarity and logical presentation, which allows the reader to easily assimilate even the most complex concepts. A. and . Danilin is not only an experienced teacher, but also a practitioner, which allows him to share with readers not only theoretical knowledge, but also practical skills. His other well-known works, such as "Optimization Methods in Economics" and "Mathematical Modeling", also deserve attention and can serve as an excellent addition to the "Fundamentals of Optimization Theory". This book will be an excellent choice for those who want not only to master the theory, but also to learn how to apply it in practice. Readers interested in topics such as mathematical programming, process optimization and decision-making will find a lot of useful information in it. “Basics of optimization theory” is not just a textbook, but a real guide to the world of mathematical solutions that will help you learn how to find the best ways in a variety of situations. If you are looking for literature that combines theory and practice, and helps you develop analytical thinking and problem-solving skills, then book A. and . Daniilina will be a real find for you . Do not miss the opportunity to get acquainted with this fascinating and useful work, which will open up new horizons in the field of optimization and mathematical modeling.