One of the main contributions of Ilya Prigogine, Nobel Prize in Chemistry in 1977, was the understanding of the three fields of thermodynamics, that is, the thermodynamics of systems in equilibrium, near equilibrium, and far from equilibrium. This last field, which is called the complexity sciences (CC), opened the understanding of creating order out of chaos with Prigogine’s Dissipative Structures. This paper presents the basics of the CC with the perspective of Chemical Engineering, presenting its utility in unstable simple reactions and in reactive distillation. All within the framework of education and training of chemical engineers, with the view that the Sciences of Complexity, more than a tool, constitute an approach that can transform the performance of engineering and the role we engineers play in the society.