Novel Mathematical Tools for Scientists and Engineers

Engineering is basically an application of mathematics and applied sciences to the solution of real world problems. In the majority of real–life and applied phenomena in engineering sciences and also other applied sciences, solving to applied problems events are inevitable. In order to develop engineering sciences and applied sciences, it is necessary to carefully study analytical and numerical methods for solving of all available problems in case of linear and nonlinear equations. It is of great importance to study nonlinearity; because almost all applied processes act nonlinearly, and on the other hand, nonlinear analysis of complex systems is one of the most important and complicated tasks, especially in engineering and applied sciences problems. The most important and fundamental step to analyze an engineering problem is to determine the equations governing the motion and dynamics of the problem unless investigating the problems is impossible. Since the equations governing the motion of the body or system determine the nature of its analysis, obtaining these the equations is of great importance.