The book "Mathematical modeling of thermal conduction equations with discontinuous coefficients" by authors Igor Fedorovich Zherebyatyev and Alexei Timofeevich Lukyanov is a deep and comprehensive study , Which makes it difficult for the reader to read....................................... but fascinating world of mathematical modeling. This edition will be a real find for students, graduate students and specialists in the field of applied mathematics, physics and engineering, as well as for anyone interested in modern methods of solving problems related to thermal conductivity. The book deals with equations describing heat transfer processes, with an emphasis on discontinuous coefficients, which is an actual topic in modern research. The authors not only explain the theoretical aspects, but also offer practical methods that allow modeling complex physical processes. The reader will be able to learn how discontinuous coefficients affect the behavior of heat flows and what mathematical tools can be used to analyze them. One of the key features of the book is its accessible style of presentation, which allows even those who are not experts in the field of mathematical modeling to understand the basic concepts and ideas. The authors use many examples and illustrations, which makes the material more clear and understandable. This is especially important for students and young professionals who are just beginning their journey in this field. The book will be interesting not only for those who study theory, but also for practitioners working in the field of thermal energy, materials science and related disciplines. It will help them better understand the processes taking place in real systems, and will teach them how to use mathematical models to solve practical problems. In addition, the publication may be useful for researchers working on new methods and approaches in the field of mathematical modeling. The topics raised in the book cover a wide range of issues related to thermal conductivity, including analysis of the stability of solutions, numerical methods and their application to real-world problems. The authors emphasize the importance of accuracy and reliability of models, which makes the book especially valuable in the context of modern scientific and technological progress. Igor Fedorovich Zherebyatev and Alexey Timofeevich Lukyanov are recognized experts in their field, and their work has already proven itself in the scientific community. Their previous publications also deal with various aspects of mathematical modeling and numerical methods, which adds additional value to this book. Readers familiar with their previous work will appreciate the consistency and depth of analysis offered in this edition. The book "Mathematical modeling of equations of the type of thermal conduction with discontinuous coefficients" will be an indispensable tool for all who seek to deepen their knowledge in the field of mathematical modeling and heat transfer. It not only expands the horizons of understanding complex processes, but also inspires new research and discoveries. If you are looking for a quality and informative guide on this topic, then this edition is exactly what you need. Do not miss the opportunity to immerse yourself in the world of mathematical modeling and discover new horizons of science!