This book focuses on theoretical thermotics, the theory of transformation thermotics and its extended theories for the active control of macroscopic thermal phenomena of artificial systems, which is in sharp contrast to classical thermodynamics comprising the four thermodynamic laws for the passive description of macroscopic thermal phenomena of natural systems. The book covers the basic concepts and mathematical methods, which are necessary to understand thermal problems extensively investigated in physics, but also in other disciplines of engineering and materials. The analyses rely on models solved by analytical techniques accompanied with computer simulations and laboratory experiments. This book serves both as a reference work for senior researchers and a study text for zero beginners.

This open access book describes the theory of transformation thermotics and its extended theories for the active control of macroscopic thermal phenomena of artificial systems, which is in sharp contrast to classical thermodynamics comprising the four thermodynamic laws for the passive description of macroscopic thermal phenomena of natural systems. This monograph consists of two parts, i.e., inside and outside metamaterials, and covers the basic concepts and mathematical methods, which are necessary to understand the thermal problems extensively investigated in physics, but also in other disciplines of engineering and materials. The analyses rely on models solved by analytical techniques accompanied by computer simulations and laboratory experiments. This monograph can not only be a bridge linking three first-class disciplines, i.e., physics, thermophysics, and materials science, but also contribute to interdisciplinary development.

This book introduces the fundamental concepts of thermal cloaking based on transformation theory and bilayer theory, under the conduction and convection heat transfer modes. It focuses on thermal cloaking with detailed explanations of the underlying theoretical bases leading to the primary thermal cloaking results in open literature, from an engineering perspective, and with practical application in mind. Also, the authors strive to present the materials with an emphasis on the related physical phenomena and interpretation, to the extent possible. Through this book, engineering students can grasp the fundamental ideas of thermal cloaking and the associated mathematics, thus being better able to initiate their own research and explore new ideas in thermal cloaking. While not intended to be a general reference in the vast field of thermal cloaking research, this book is a unique monograph addressing the theoretical and analytical aspects of thermal cloaking within the scope mentioned above. This book also contains many independent analytical solutions to thermal cloaking problems that are not available in open literature. It is suitable for a three-credit graduate or advanced undergraduate course in engineering science.