The book “Elements of Dynamic Programming” by Evgeny Semyonovich Ventzel is a fascinating and deep immersion into the world of algorithms and mathematical methods that underlie dynamic programming. This work will be a real discovery for students, graduate students and anyone interested in computer science, mathematics and optimization. The book discusses not only theoretical aspects, but also practical applications of dynamic programming, which makes it useful for both beginners and experienced specialists. Wentzel's focus is on the optimization problem facing many researchers and developers. The author masterfully explains how dynamic programming can solve problems that at first glance seem complex and confusing. The reader will become familiar with basic principles, such as breaking down tasks into subtasks, using memoization, and building tables to store intermediate results. These concepts will not only help in solving classic problems, such as the backpack problem or the shortest path problem, but will also open new horizons for solving more complex problems in the field of artificial intelligence and machine learning. The book will be of particular interest to technical students, graduate students and practicing programmers who seek to deepen their knowledge in the field of algorithms. It can also attract the attention of teachers who want to find quality material for courses on algorithms and data structures. Wentzel writes in an accessible and understandable language, which makes his work ideal for self-education. Readers who are already familiar with the basics of programming and mathematical analysis will find in this book a lot of useful information that will help them develop their skills and put them into practice. The topics raised in the book cover a wide range of issues related to algorithm optimization and efficiency. Wentzel not only explains how dynamic programming works, but also looks at its advantages and disadvantages compared to other methods. He also shares examples from real-world practice, allowing readers to see how these theoretical concepts are applied in areas ranging from economics to bioinformatics. Wentzel's style is distinguished by clarity and logical presentation, which makes reading the book fascinating and informative. His approach to learning is based on a deep understanding of the subject and the ability to convey complex ideas in simple language. This quality has already made his other works, such as Algorithms and Data Structures and Mathematical Methods in Programming, popular among students and professionals. "Elements of dynamic programming" is not just a textbook, but a real find for everyone who wants to master one of the most powerful techniques in the field of algorithms. The book inspires the study and application of dynamic programming in various tasks, opening up new horizons for creativity and innovation. If you are looking for literature that will help you become more confident in your programming skills and teach you how to effectively solve complex problems, then this book is your ideal choice. Thus, Wentzel's Elements of Dynamic Programming is not just a book, but a whole world of possibilities waiting to be explored. Do not miss the chance to immerse yourself in this fascinating topic and discover new horizons in programming and mathematics!