The book "Elements of dynamic programming" by Ventzel E. C. is a fascinating and deep dive into one of the most powerful and relevant topics in the field of computer science and mathematical optimization In a world where algorithms become the basis for solving a variety of problems, from simple to extremely complex, dynamic programming takes a special place, allowing you to effectively find solutions that would otherwise require enormous computational resources. In his book, Wentzel not only explains the basic concepts of dynamic programming, but also demonstrates their practical application through many examples and tasks. The reader will be able to see how this technique can optimize processes, minimize costs and find the best solutions in various fields - from economics and logistics to computer science and engineering. The author masterfully combines theory and practice, which makes the material accessible and understandable even for those who are just beginning to get acquainted with this topic. The book will be of interest to both students and graduate students studying computer science and mathematics, as well as practitioners working in the field of software development, data analysis and business process optimization. It will be an excellent help for those who want to deepen their knowledge in the field of algorithms and learn how to apply dynamic programming to solve real-world problems. If you are interested in topics such as algorithmic thinking, optimization, and also looking for ways to improve your skills in programming, then this book will be a real find for you. Wentzel E. C. is known for its clear and concise style of presentation, which allows readers to easily assimilate even the most complex concepts His approach to learning is based on a detailed analysis of examples and tasks, which allows not only to understand the theory, but also to learn how to apply it in practice. In this context, Dynamic Programming Elements stand out among other tutorials for their structured and consistent presentation of the material. The topics raised in the book cover a wide range of issues, from the basic principles of dynamic programming to more complex algorithms and their application to real-world problems. Wentzel pays attention to both classical tasks, such as the task of the backpack and the task of the greatest common sub-sequence, and modern applications, which makes the book relevant and useful for today's readers. In addition, Dynamic Programming Elements can serve as an excellent addition to other well-known works in the field of algorithms, such as "Algorithms: construction and analysis" of Cormen and "