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.
