The book "Mathematical modeling and modern problems of the sciences of materials and processes", created by the team of authors, is a unique publication that immerses the reader in the world of complex scientific research and practical applications in the field of materials science and engineering. This work will be a real find for students, graduate students, researchers and anyone interested in modern trends in the materials sciences. From the first pages, the book draws attention with its deep and comprehensive approach to mathematical modeling. The authors share their knowledge and experience by considering various aspects of modeling that play a key role in understanding the processes occurring in materials. The reader will be able to learn about how mathematical methods help predict the behavior of materials under the influence of various factors, such as temperature, pressure and mechanical loads. This knowledge is essential for the development of new materials and technologies that can change our understanding of the possibilities of science and technology. The book covers a wide range of topics, including, but not limited to, material mechanics, thermodynamics, condensed matter physics, and many other disciplines. Particular attention is paid to modern problems faced by scientists and engineers, and actual solutions based on mathematical modeling are offered. This makes the book not only a theoretical work, but also a practical guide for professionals seeking to apply scientific knowledge in real-world conditions. For whom is this book intended? First of all, it will be of interest to students and graduate students of technical and natural sciences who want to deepen their knowledge in the field of materials science and mathematical modeling . Engineers and researchers working in related fields will also find in it a lot of useful information and fresh ideas for their projects. In addition, the book can be useful to teachers who are looking for modern approaches to teaching students, as well as to anyone who is interested in the latest achievements in the materials sciences. The style of the authors is distinguished by clarity of presentation and accessibility of complex concepts. Each chapter is written taking into account the fact that the reader may not have deep knowledge in mathematics or physics, which makes the material accessible and understandable. The authors use many examples and illustrations that help to visualize theoretical aspects and make reading fascinating. The book "Mathematical modeling and modern problems of the sciences of materials and processes" not only expands the horizons of knowledge, but also inspires new research and discoveries. It raises important topics such as sustainable development, innovative technologies and environmental aspects, making it relevant in the context of contemporary challenges facing humanity. If you are interested in such works as "The Science of Materials" D. G. Petrov or "Mathematical Modeling in Engineering" A. and . Sidorova, this book will be a great addition to the library for you . It opens new horizons in the understanding of materials and processes, and also demonstrates how mathematical modeling can become a powerful tool in the hands of scientists and engineers. Do not miss the opportunity to immerse yourself in the world of science and technology with this fascinating and informative book Mathematical Modeling and Modern Problems of Materials and Process Sciences is not just a book, it is the key to a future where science and technology go hand in hand, opening new horizons for humanity.