The book "Differential-difference equations" by the authors P. Bellman and K. Cooke is a fascinating and in-depth study in the field of mathematical analysis that will be of interest to both students and professional mathematicians. This work is not just a textbook, but a real find for everyone who seeks to understand and master the complex concepts associated with differential and difference equations. From the first pages, the authors immerse the reader in the world of mathematical models that describe dynamic systems and processes. The book covers a wide range of topics, from the basics of differential equations theory to more complex concepts such as the stability of solutions and methods of numerical analysis. Each section is written with clarity and logic, which allows the reader to gradually delve into the material without losing interest and motivation. One of the key features of the book is its practical focus. The authors not only explain the theoretical aspects, but also offer many examples and tasks that help to consolidate the knowledge gained. This makes "Differential-Difference Equations" an ideal textbook for students of mathematical and engineering specialties, as well as for graduate students working on their scientific projects. If you are looking for a book that will help you not only to prepare for exams, but also to understand the subject more deeply, then this work will become your faithful assistant. The book will also be of interest to those working in applied mathematics, physics, economics and other scientific disciplines where mathematical models play an important role. It raises important topics such as dynamic process modeling, sustainability analysis, and optimization, making it relevant to researchers and practitioners. Style of authors, P. Bellman and K. Cook, distinguished by clarity and accessibility. They skillfully balance between theoretical concepts and practical applications, making complex ideas more understandable. R. Bellman, known for his work in optimization and management theory, brings to the book his unique approach to solving mathematical problems. K. Cook, in turn, adds his knowledge and experience, making the collaborative work particularly valuable. If you are interested in books such as "Methods of mathematical physics" or "