The book "Research on Linear and Nonlinear Programming" is an outstanding work that combines the work of well-known scientists in the field of mathematical optimization and game theory. Authors, including such famous figures as Kenneth J. Arrow, Leonid Gurvits, Hirofumi Udzawa and E. G. Holstein presents the reader with in-depth analysis and modern approaches to linear and non-linear programming, making this publication indispensable for students, researchers, and practitioners in economics, mathematics, and engineering. The book covers a wide range of topics, including the basic principles of linear programming, methods for solving optimization problems, as well as more complex aspects of nonlinear programming. The authors not only outline the theoretical foundations, but also offer practical examples, which allows readers to better understand how to apply these methods in real life. The intriguing research and unique approaches presented in the book make it a valuable resource for those who seek to deepen their knowledge in this area. This book will be of interest to both undergraduate and graduate students, as well as anyone working in areas related to mathematical modeling, economic analysis, and optimization. If you are passionate about mathematics, economics or engineering, then “Research on linear and nonlinear programming” will be a real find for you. Readers interested in topics such as game theory, process optimization, and decision-making will find this publication a wealth of useful information and inspiration. Topics raised in the book range from basic concepts to complex mathematical models, allowing the reader to gradually delve into the material. The authors emphasize the importance of optimization in various fields, from economics to engineering, and show how mathematical methods can be used to solve real-world problems. This book not only broadens the reader’s horizons, but also encourages him to think about new approaches to solving problems that he faces in his professional activities. The style of the authors is distinguished by clarity and accessibility, which makes complex concepts more understandable. Kenneth Arrow, the Nobel laureate, is known for his work in economic theory and game theory, and his co-authors also have considerable experience and achievements in their fields. Their joint efforts in this book create a unique synthesis of knowledge that will be useful for both beginners and experienced professionals. If you are looking for literature that will help you understand the intricacies of linear and non-linear programming, then this edition will be an excellent choice. The book “Research on Linear and Nonlinear Programming” will not only enrich your knowledge, but also inspire new ideas and approaches in your professional activities. Do not miss the opportunity to immerse yourself in the world of mathematical optimization and discover new horizons!