The book "Incorrect inverse heat conduction problems", written by J. Beck, B. Blackwell and H. St Clair Jr . , is a fascinating and in-depth study in mathematical physics and applied mathematics. This work will be of particular interest to those who seek to understand the complex aspects of thermal conduction theory and its practical application. The authors offer the reader a unique look at inverse problems, which are usually among the most difficult in this field. The book focuses on incorrect inverse problems that arise in the process of modeling heat transfer. These problems have many applications in various fields, from engineering to medicine, and require researchers not only deep mathematical knowledge, but also a creative approach to solving. The authors examine in detail the methods used to solve such problems, including numerical and analytical approaches, as well as their limitations and capabilities. The book will be useful to both students and graduate students studying applied mathematics and physics, as well as practitioners working in the field of thermal physics, materials science and related disciplines . It can become an indispensable tool for those who are interested in modern methods of solving complex mathematical problems and their application in real conditions. Readers interested in topics such as modeling of physical processes, optimization and numerical methods will find many useful ideas and concepts in this book. Topics covered in "Incorrect Reverse Thermal Conductivity Problems" cover a wide range of issues, including theoretical foundations, practical applications, and current trends in thermal conductivity research. The authors emphasize the importance of accuracy and reliability of solutions, which makes their work especially relevant in the rapidly changing world of technology. The book also addresses the sustainability of decisions and their sensitivity to changes in source data, which is a key aspect in research and engineering practice. The style of the authors is clear and accessible, which allows the reader to easily assimilate complex concepts and apply them in practice. Beck, Blackwell and St. Clair Jr. are known for their in-depth knowledge of mathematics and physics, and their previous works, such as "Inverse Problems in Mathematical Physics" and "Numbered Methods for Inverse Problems", have already won recognition among specialists. In this book, they continue to develop their ideas, offering readers new approaches and solutions. If you are looking for a book that will not only expand your knowledge in the field of thermal conductivity, but also inspire new research and discoveries, “Incorrect Reverse Thermal Conductivity Problems” will be an excellent choice. This piece will not only enrich your scientific baggage, but also help you look at familiar things from a new angle. Read, explore and discover a world of math problems that can change our understanding of physical processes!