1. Pressure Waves for Diagnostics and Therapy

To understand the role of mathematics in an engineering discipline, we may talk about the capability of an engineer. Inspired by the laws of physics, an engineer uses mathematics as a tool to convert nature’s resources to a product. This definition may be considered out of date now. A better definition may take the form: inspired by the laws of physics, using mathematics as a translator, to convert nature’s resources to a product or to study a phenomenon (or phenomena) or a criterion (criteria). This latter definition takes engineers to go far into space and deep into the human body microstructure in order to investigate, analyze, and apply this knowledge to innovations for the betterment of the humankind. The process modeling could be done in the form of mathematical modeling or/and computer simulation.