The book "System Synthesis of Mathematics Substantiation Programs" by N. In. Mikhailova is a unique work that combines deep theoretical knowledge and practical aspects related to mathematical modeling and programming. This publication will be of particular interest to those seeking to understand how mathematical concepts can be integrated into software solutions, as well as to those who want to develop their skills in systems analysis and software development. In his book, Mikhailov explores the methodology of system synthesis, which allows you to create effective programs to substantiate mathematical theories and models. The author not only shares his knowledge, but also invites readers to plunge into the world of mathematical programming, where each algorithm and each formula acquires a new meaning. Readers will be able to learn how to apply different mathematical methods to solve real-world problems, making the book particularly relevant to students, graduate students, and professionals in mathematics, computer science, and engineering. The book covers a wide range of topics, including the basics of mathematical modeling, algorithms and data structures, and optimization techniques. Mikhailov focuses on the importance of a systematic approach in program development, which allows readers not only to master the theory, but also to apply it in practice. In this context, the author shares examples from his practice, which makes the material more accessible and understandable. "Systematic synthesis of mathematics justification programs" will be of interest not only to specialists, but also to those who are just starting their way in the world of mathematics and programming. The book is suitable for senior students, graduate students, as well as for teachers who are looking for new approaches to learning . Thanks to the accessible style of presentation and clear explanations, readers will be able to easily learn even the most complex concepts. Style N. In. Mikhailov is distinguished by clarity and logic, which makes his books especially valuable for the educational process. He is known for his work in mathematical modeling and systems analysis, and "System Synthesis of Mathematics Substantiation Programs" is no exception. The author is able to captivate the reader using real-life examples, which helps to better understand how theoretical knowledge is applied in practice. The topics raised in the book concern not only purely mathematical aspects, but also philosophical issues related to the knowledge and understanding of the surrounding world through the prism of mathematics. Mikhailov raises questions about how mathematical models can help solve complex problems facing modern society, and how programming can become a tool for implementing these models. This book will be a real discovery for those who want to deepen their knowledge in mathematics and programming, as well as for those who are looking for new ideas for their projects. If you are interested in such works as “Mathematical modeling” or “Algorithms: construction and analysis”, then “System synthesis of mathematics justification programs” will be an excellent addition to your library. Do not miss the opportunity to discover a world where mathematics and programming merge into a single whole, creating new horizons for scientific research and practical applications. Book N. In. Mikhailova is not just a textbook, but a real guide to the complex but fascinating world of mathematical programs.