The book “Convex Functions and Spaces of Orlich”, written by prominent mathematicians Mikhail Alexandrovich Krasnoselsky and Yakov Borisovich Rutitsky, is a unique work that opens the world of mathematical analysis and functional spaces to the reader. This edition will become a reference book for both students studying higher mathematics and researchers seeking to deepen their knowledge in the field of convex function theory. The authors focus on convex functions an important class of functions with unique properties that find application in various fields of science and technology. The book covers a wide range of topics, ranging from the foundations of the theory of convex functions to more complex concepts related to the Orlich spaces. These spaces are a generalization of classical functional spaces, which makes them particularly interesting to study in the context of modern mathematical research. The reader who opens this book is immersed in a world of deep mathematical ideas and theorems that not only expand the horizons of knowledge, but also encourage reflection on the nature of mathematical objects. The authors masterfully guide the reader through complex concepts, emphasizing intuitive understanding and practical application of theories. This makes the book available to a wide audience, including undergraduates, graduate students, and even practitioners working in applied mathematics. The topics raised in the book concern not only theoretical aspects, but also practical applications of convex functions in various fields, such as optimization, economics, and physics. The authors emphasize the importance of convex functions in minimizing and maximizing tasks, which makes them indispensable tools in research and engineering. The book also addresses issues related to the existence of solutions and their properties, which is a topical topic in modern mathematical analysis. The style in which the book is written is distinguished by clarity and logical presentation .. Krasnoselsky and Rutitsky use many examples and illustrations, which helps the reader to better assimilate the material. Their approach to explaining complex concepts makes reading not only cognitive, but also fascinating. These authors are known for their previous works, such as Functional Analysis and Nonlinear Operators, which have also earned recognition in the scientific community and have become classics in mathematics. "Convex Functions and Spaces of Orlich" is not just a textbook, but a real find for everyone who is interested in mathematics at a deep level. The book will be useful not only to those who study theory, but also to those who apply this knowledge in practice. It will be an excellent addition to the library of any mathematician, engineer or economist seeking a deep understanding of the mathematical foundations and their application in real life. If you are looking for literature on functional analysis, convex functions or Orlich spaces, this book should definitely take its rightful place on your shelf. Do not miss the opportunity to immerse yourself in the world of mathematics, which opens Krasnoselsky and Rutitsky, and discover new horizons of knowledge that will help you in your professional activities and scientific research.